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Öğe Investigation of the presence of Chlamydia spp., Mycoplasma spp. and Moraxella ovis in infectious keratoconjunctivitis cases in sheep and goats in Siirt province and evaluation of clinical findings(Polish Academy of Sciences Chancellery, 2024-06-12) A. Gulaydin; O. Gulaydin; M.B. Akgul; N. Sindak; O. YildirimInfectious keratoconjunctivitis is an infectious disease that negatively affects animal welfare causing systemic or local clinical signs in small ruminants and causes significant economic losses in herds. It is important to determine the etiologic agent causing the infection in the development of the protection and control strategies against the disease. The aim of this study was to determine the presence of infectious keratoconjunctivitis cases in small ruminants raised in Siirt province in Türkiye. Infectious keratoconjunctivitis was graded according to the symptoms determined by clinical examination. The presence of Chlamydia spp., Mycoplasma spp. and Moraxella ovis was investigated by PCR in swab samples obtained from the animals with keratoconjunctivitis. Infectious keratoconjunctivitis was detected in 263 (19.86%) of 1324 animals examined in the study. Of the animals with infectious keratoconjunctivitis, 163 (61.97%) were sheep and 100 (38.02%) were goats. The detection rate of infectious keratoconjunctivitis was higher in sheep than goats. In 56 (21.29%), 109 (41.44%), 67 (25.47%), and 31 (11.78%) of the cases, findings of stage 1, 2, 3, and 4 infectious keratoconjunctivitis were detected, respectively. Of the eye swab samples taken from 263 animals with infectious keratoconjunctivitis, 5 (1.90%) were positive for Mycoplasma spp. and 6 (2.28%) were positive for M. ovis. It was determined that the distribution of the bacterial agents varied according to the stage of infectious keratoconjunctivitis. No statistically significant correlation was found in the distribution of bacterial agents among identified samples according to species, sex, age, and infectious keratoconjunctivitis stage of the animals. It was thought that the data obtained in the study would contribute to the studies for protection and control by determining the incidence and aetiology of infectious keratoconjunctivitis cases observed in small ruminants. © 2024 The Authors. This is an open access article under the CC BY-NC-ND 4.0 license (https://creativecommons.org/licenses/by-nc-nd/4.0/deed.en), which allows re-users to copy and distribute the material in any medium or format in unadapted form and for noncommercial purposes, and only so long as attribution is given to the creator.Öğe The validity and reliability study of the Turkish version of the Ethical Awareness Scale(Informa UK Limited, 2024-12-28) Gülcan Eyüboğlu; Nevin Doğan; Arnel Böke Kiliçli; Zehra Göçmen Baykara; Aimee MillikenThe heightened focus on patient safety and the quality of nursing care in intensive care units underscores the necessity for reliable tools to evaluate nurses’ ethical awareness. This study was aimed to evaluate the psychometric properties of the Turkish version of the Ethical Awareness Scale in a sample of intensive care nurses. Data were collected from 249 intensive care nurses in Türkiye using the Turkish version of the 18-item Ethical Awareness Scale. The data were then analyzed using Rasch analysis. The Turkish version of the Ethical Awareness Scale demonstrated unidimensionality and an acceptable fit for the Rasch model. The person reliability and item reliability were 0.63 and 0.92, respectively. The Turkish version of the Ethical Awareness Scale was found to be a psychometrically valid and reliable instrument for measuring the ethical awareness levels of intensive care nurses.Öğe Evaluation of β-hydroxybutyrate, calcium, and non-esterified fatty acids at day one postpartum in predicting the risk of diseases in dairy cows(University of Veterinary Sciences Brno, 2024) Tarik Safak; Efe Durukan; Oznur Yilmaz-Koc; Ali Risvanli; Berrak Isik Soyturk; Metin BayraktarIn this study, the usability of calving type, non-esterified fatty acids (NEFA), beta-hydroxybutyrate (BHB), and calcium (Ca) concentrations in predicting postpartum diseases was examined. For this purpose, 120 Holstein cows were used in the study. These cows were divided into two subgroups according to the calving type: unassisted parturition (eutocic, n = 58) and assisted parturition (dystocia, n = 62). Cows were followed for 15 days postpartum. Diseases of retained foetal membranes (RFM), metritis, and clinical mastitis that developed in the postpartum period were recorded. Then, NEFA, BHB, and Ca concentrations were measured in blood samples collected at parturition from cows with RFM (n = 19), metritis (n = 34), clinical mastitis (n = 20) and cows that did not develop the disease (n = 47). Our results show the decreased Ca concentration to be positively associated with the risk of mastitis (P < 0.001, odds ratio [OR] 4.599), metritis (P = 0.008, OR 4.286), and RFM (P < 0.001, OR 5.016); and increased BHB concentration to be positively associated with the risk of metritis (P = 0.002, OR 4.069) and RFM (P < 0.001, OR 9.498). The results of the study indicated that low Ca and high BHB concentration at parturition could negatively affect the productive efficiency of dairy cows.Öğe Mathematical analysis and pattern formation in diffusive predator–prey system(Springer Science and Business Media LLC, 2025-01-07) Nauman Ahmed; Muhammad Waqas Yasin; Ali Akgül; Dumitru Baleanu; Ovidiu Tintareanu-MirceaPrey-predator interactions are modeled using various dynamical systems and these interactions are affected by several factors. The predation rate of prey, reproduction rate, and prey use various strategies to avoid predation, the movement of the prey and predator species, food, and secured shelter can lead to the emergence of various types of patterns. These patterns in the prey-predator dynamics explain the complicated ecosystem. A reaction-diffusion prey-predator model with harvesting in predator is numerically investigated. A conditionally positivity preserving scheme is used. The von Neumann technique is used for the stability analysis. The Taylor series is used for the consistency analysis and discrete approximation is consistent with the underlying model. Pattern formation is observed for the governing model. The spot, stripe, and spot-stripes patterns are successfully gained that describe the complicated dynamics of the prey-predator dynamics. 3D and 2D simulations are drawn for the underlying model. The underlying model has two equilibria, both are successfully gained. All the theoretical results are verified through the simulations.Öğe Facile preparation of sulfonated carbon particles with pomegranate peels as adsorbent for enhanced methylene blue adsorption from aqueous solutions(Springer Science and Business Media LLC, 2024-01-19) Yaşar Genel; İlyas Genel; Cafer SakaIn this study, in the first stage, activated carbon (AC) is produced from pomegranate peels, which are commonly found in Turkey, by pyrolysis after impregnation with NaOH (PPAC). In the second stage, the surface properties of the obtained PPAC sample are further improved by the sulfonation modification process with sulphuric acid (PPAC-S) for selective MB adsorption. For the characterization of the obtained samples, XRD, FTIR, SEM, nitrogen adsorption/desorption and EDS analyses were performed. Additionally, the zero charge points (pHzpc) of these samples were also determined. The isotherm, kinetic, and thermodynamic properties of the MB adsorption process with PPAC-S were examined. The qe values obtained for MB adsorption with PPAC and PPAC-S samples were found to be 98.79 mg/g and 199.18 mg/g, respectively. There is an increase of 100% in MB adsorption with the sulfonated PPAC adsorbent. Maximum adsorption capacity values of MB with the Langmuir model at temperatures of 298, 308, and 318 degrees C were 212.7, 216.9, and 245.1 mg/g, respectively. Additionally, the mechanism of MB adsorption onto PPAC-S was also attempted to be elucidated.Öğe Molecular identification and phylogenetic analysis of Babesia ovis in sheep in Siirt, Türkiye: relationship with some oxidant/antioxidant parameters(University of Veterinary Sciences Brno, 2024) Burçak Aslan Çelik; Murat Kara; Özgür Yaşar Çelik; Kıvanç İrak; Muhammed Ahmed Selçuk; Kerem Ercan; Adnan AyanThe Babesia genus includes tick-borne haemoprotozoan parasites that infect a wide variety of vertebrate hosts, both domestic and wild, around the world. Babesia spp. cause oxidative stress by increasing the number of free radicals in erythrocytes. Among this genus, Babesia ovis causes babesiosis in sheep and goats, especially in tropical and subtropical regions, causing significant economic losses. In this study, we aimed to determine the presence and prevalence of B. ovis in sheep in Siirt province, T & uuml;rkiye, using molecular method and to evaluate some oxidant/ antioxidant parameters in infected sheep. The animal material used in this study consisted of a total of 500 sheep. DNA extraction, Polymerase Chain Reaction (PCR) amplification and sequence analysis of blood samples and Enzyme-Linked ImmunoSorbent Assay (ELISA) analysis of serum samples were performed. As a result of the study, 84 of the 500 samples (16.80%) examined were PCR positive. Advanced oxidation protein products (AOPP) and nitric oxide (NO) concentrations were found to be higher in sheep with babesiosis compared to the control group. Superoxide dismutase (SOD) activity was higher in the control group and catalase (CAT) activity was higher in infected sheep. As a result of this study, the presence of Babesia ovis was detected in all districts of Siirt province. It has been determined that infection caused by Babesia ovis in sheep causes oxidative stress as a result of increased nitric oxide and oxidized protein levels and this process may participate in the pathology of the disease.Öğe Investigation of growth traits in Turkish Merino lambs using multi-locus GWAS approaches: Middle Anatolian Merino(Springer Science and Business Media LLC, 2024-12-19) Yalçın Yaman; Şükrü DOĞAN; Mesut KIRBAŞ; A. Taner ÖNALDI; Yavuz KALThis study explored the genetic basis of growth traits in Middle Anatolian Merino lambs using multi-locus genome-wide association study (GWAS) analyses. Descriptive statistics indicated moderate heritability (h² = 0.363) for birth weight (BW) and (h² = 0.309) for weaning weight (WW), both statistically significant (p < 0.001). Strong genetic correlations were observed between WW and BW (rG = 0.922) and WW and Kleiber ratio (KR, rG = 0.896), implying that simultaneous improvements may be possible through targeted selection. Five multi-locus methods (mrMLM, FASTmrMLM, pLARmEB, FASTmrEMMA, and ISIS EM-BLASSO) were used to identify the polygenic basis of the traits. For BW and WW, 20 and 18 significant SNPs (LOD ≥ 5) were detected, respectively, with some SNPs co-detected by multiple methods. In contrast, only 10 significant SNPs were identified for KR, all exclusively by the ISIS EM-BLASSO approach. Pathway analyses within ± 100 Kb of associated SNPs revealed genes and pathways influencing these traits, which could be leveraged in future breeding programs for enhanced growth performance. The identified SNPs, particularly those associated with BW and WW traits, could facilitate genomic selection if validated in larger and more diverse populations.Öğe Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach(Springer Science and Business Media LLC, 2024-12-28) Mubashir Qayyum; Qursam Fatima; Ali Akgül; Murad Khan HassaniThe current manuscript presents a mathematical model of dengue fever transmission with an asymptomatic compartment to capture infection dynamics in the presence of uncertainty. The model is fuzzified using triangular fuzzy numbers (TFNs) approach. The obtained fuzzy-fractional dengue model is then solved and analyzed through fuzzy extension of modified residual power series algorithm, which utilizes residual power series along with Laplace transform. Numerical analysis has also been performed in this study and obtained results are shown as solutions and residual errors for each compartment to ensure the validity. Graphical analysis depict the model’s behavior under varying parameters, illustrating contrasting trends for different values of and examining the impacts of transmission and recovery rates on dengue model in uncertain environment. The current findings highlighted the effectiveness of proposed uncertainty in epidemic system dynamics, offering new insights with potential applications in other areas of engineering, science and medicine.Öğe Protective Effect of Escin Against Kidney Injury: Histopathological and Biochemical Evaluations(MDPI AG, 2024-11-25) Mustafa Cengiz; Betül Peker Cengiz; Alanna Teixeira Andrade; Adnan AyhanciThe purpose of the current study was to find out whether escin (ES) safeguarded experimental rats against cyclophosphamide (CP)-induced kidney injury. Twenty-four rats were randomly divided into four groups (n = 6). After the examination, histological and biochemical analyses were performed to assess the alterations in kidney tissue. According to histologic and biochemical analyses, renal tissue in the CP group suffered significant damage by CP. There was a significant improvement in histological damage in the group receiving CP+ES together. This suggests that ES significantly protects the kidney’s functional characteristics. The present study concludes by highlighting histological and biochemical studies to illustrate the ability of ES to cure kidney injury caused by CP and its influence on the relationship between oxidative stress, apoptosis, and renal failure. © 2024 by the authors.Öğe A comparative study of two-phase flow of an infusion of gyrotactic microorganisms and dust particles in trihybrid nanofluid with melting phenomena and Soret–Dufour effects(Springer Science and Business Media LLC, 2024-12-27) Munawar Abbas; Mostafa Mohamed Okasha; Nargiza Kamolova; Ali Hasan Ali; Ibrahim Mahariq; Ali Akgül; Ahmed M. GalalBackground: This investigation's main goal is to examine the impacts of Soret and Dufour on Marangoni convective flow of dusty trihybrid nanofluid over a Plate containing gyrotactic microorganisms, heat generation, and melting processes. A trihybrid nanofluid containing nanoparticles of Magnesium oxide MgO, Titanium dioxide TiO2, and Silver Ag in a water-based fluid. This proposed model is used to contrast the activity of dual well-known trihybrid nanofluid models for thermal conductivity, the Hamilton–Crosser model and the Yamada-Ota model. Methods: An appropriate similarity variable is utilized to reduce governing partial differential equations to couple nonlinear ordinary differential equations. After that the system of equations is numerically solved using the effective Bvp4c Method. Applications: Especially in high-performance cooling applications like electronics and aeronautical engineering, this comprehensive study could be very helpful in enhancing thermal management systems. With regard to the introduction of bio-convection brought about by the presence of gyrotactic bacteria, this model can be applied to advanced bio-engineering applications such as bioreactors and medical equipment. Understanding the behavior of these complex fluids under gradients in concentration and Soret–Dufour effects may also lead to improvements in the production and processing of materials, where precise temperature and concentration controls are critical. Results: The temperature and velocity distributions of the dusty ternary hybrid nanofluid are shown to be predominant with higher melting parameters; while, the concentration and microorganism distributions show the opposite pattern.Öğe The Approaches of Commentators on the Proposition of Allah's Oneness (Wahdaniyah) in the Context of 22nd Verse of Surah al-Anbiya and the Critique of Their Interpretation(Atatürk Üniversitesi Yayınları, 2025) Zakir DemirWhen viewing the history of Islamic thought, it is observed that almost all scholars, especially in the fields of Qur'anic exegesis (tafsir) and theology (kalam), have tried to justify the existence, oneness and uniqueness of Allah on the basis of the 22nd verse of Surah al-Anbiya through various methods of reasoning, and they have put forward their conceptions of wahdaniyah mostly based on this divine proposition. Moreover, different interpretations attributed to this verse have led scholars to declare each other unbelievers (takfir) and to use a pejorative style against each other. Due to the presence of references to this divine proposition between the lines of exegetical texts in almost every field of Islamic sciences methodology, as well as the pejorative style developed on the axis of its interpretation, and since a comprehensive study in the context of the relevant verse has not been prepared, the meaning and interpretation of the 22nd verse of Surah al-Anbiya is the subject of this article. In this study, chronologically analysing the tafsir texts from various periods and different schools of thought, the methods of the exegetes to prove the aforementioned verse and the breaking points in the interpretation of this verse in the historical process are identified. Thus, it is aimed to analyse the related verse comprehensively with a special focus on the relationship between tafsir-nahw and tafsir-kalam. In this direction, based on the approach of examining the exegesis texts chronologically, as well as document analysis and systematic literature review methods, the approaches presented in the context of the verse of wahdaniyah in the tafsir tradition are both determined with a descriptive qualitative narrative and analysed in an analytical style. In the final analysis, it can be concluded that Allah presents His uniqueness as a subject open to discussion with rational propositions and His reliance on the challenging behaviour of reason in this regard means that it is inevitable to assign a functional role to reason for almost every issue in Islam and that Allah did not intend to send a text implying a conflict between reason and religion with His last revelation message.Öğe Mitigation of salinity stress in sunflower plants (Helianthus annuus L.) through topical application of salicylic acid and silver nanoparticles(Springer Science and Business Media LLC, 2024) Muhammad Shahbaz; Tauseef Anwar; Sammer Fatima; Nilgün Onursal; Huma Qureshi; Waseem Akhtar Qureshi; Naimat Ullah; Walid Soufan; Wajid ZamanSalinity stress poses a significant threat to sunflower (Helianthus annuus L.) by impairing water and nutrient uptake, disrupting cellular functions, and increasing oxidative damage. This study investigates the impact of Salicylic acid (SA) and silver nanoparticles (AgNPs) on growth, biochemical parameters, and oxidative stress markers in salt-stressed sunflower plants. Experiments were conducted in a controlled greenhouse environment at the Islamia University of Bahawalpur, Pakistan, using sunflower seeds (Orisun 701). AgNPs were synthesized using neem leaf extract and characterized through SEM, FTIR, zeta potential analysis, and XRD. Treatments included foliar application of SA (10 mM) and AgNPs (40 ppm) under 100 mM sodium chloride-induced salt stress. Growth metrics, antioxidant enzyme activities, chlorophyll content, and oxidative stress markers (H2O2 and MDA levels) were measured to evaluate treatment effects. The SA and AgNP treatments improved sunflower growth under salt stress, with AgNPs showing a greater impact. SA increased shoot fresh weight by 16.4%, root fresh weight by 6.9%, and chlorophyll content by 12.7%, while AgNPs enhanced shoot fresh weight by 30.5%, root fresh weight by 11.6%, and total chlorophyll by 80%. AgNPs also significantly reduced H2O2 by 42.7% and MDA by 34.6%, indicating reduced oxidative damage. Cluster analysis further demonstrated the distinct physiological responses elicited by AgNPs compared to SA. SA and AgNPs enhance sunflower resilience to salinity, with AgNPs showing a particularly strong effect on chlorophyll content and oxidative stress markers. These findings highlight the potential of SA and AgNPs as effective treatments for salt stress, suggesting further research across different crops and environments.Öğe Comparison study of modified and classical Hamilton-Crosser models for electrophoretic and thermophoretic particle deposition in stagnation point flow of diamond -SiC-Co3O4/diathermic oil-based trihybrid nanofluid(Springer, 2024) Ahmed M. Galal; Sahar Ahmed Idris; Munawar Abbas; Shaxnoza Saydaxmetova; Ali Hasan Ali; Humaira Kanwal; Ali AkgülThe current work examines the impact of heat generation on the stagnation point flow of a magnetized trihybrid nanofluid around a rotating sphere with electrophoretic and thermophoretic particle deposition. The trihybrid (Diamond –SiC–Co3O4/Do) nanofluid flow model consists of nanoparticles of Cobalt oxide (Co3O4), diamond (ND), and silicon carbide (SiC) dissolved in diathermic oil (DO). By comparing the modified model with the classical Hamilton–Crosser model, this study aims to investigate the heat transfer rate of a trihybrid nanofluid based on diamond –SiC–Co3O4/ diathermic oil. Through the analysis of trihybrid nanofluids based on diamond –SiC–Co3O4/Do diathermic oil, this model can optimize heat transmission in systems that need effective thermal management, like chemical reactors, electronics cooling, and energy storage. Trihybrid nanofluids' special qualities improve thermal conductivity, stability, and deposition control, which raises operational efficiency and dependability. It also helps with the design of sophisticated cooling systems for automotive and aerospace applications. These governing equations were solved with MATLAB's bvp4c tool after being transformed into ordinary differential equations via similarity variables. Results imply that, when compared to the classical model, the modified model accurately predicts higher heat transfer rates. As a consequence, trihybrid nanofluid heat transfer properties are better understood and thermal conductivity models are more accurate. The study shows that the concentration profile improved for both classical and modified Hamilton–Crosser models to enhance the values of electrophoretic particle deposition; while, inverse behavior is observed for thermophoretic particle deposition.Öğe Purification of glutathione S-transferase enzyme from liver tissue of shabout (Barbus grypus Heckel) and investigation of the inhibition effect of some metal ions under in vitro conditions(Springer Science and Business Media LLC, 2024-12-16) Bekir Çiftçi; Arzu Koçak Mutlu; Ebru AkkemikShabout is a fish with high nutritional value and economic potential. This fish is exposed to environmental factors due to the metal toxicity in its habitat and, consequently, its diet. The main purpose of this study was to determine how the detoxification mechanism of shabout is affected by examining the interaction of glutathione s-transferase enzyme with heavy metals. In our study, elemental analysis was first performed with the ICP-OES on water samples taken from three different points to detect metal toxicity in the habitat of the shabout. Then, the GST enzyme from the liver tissue of the shabout was purified for the first time by our team using the glutathione agarose affinity chromatography techniqueÖğe Scrutinization of local thermal non-equilibrium effects on stagnation point flow of hybrid nanofluid containing gyrotactic microorganisms: a bio-fuel cells and bio-microsystem technology application(Springer, 2024) Okasha, Mostafa Mohamed; Abbas, Munawar; Formanova, Shoira; Faiz, Zeshan; Ali, Ali Hasan; Akgül, Ali; Galal, Ahmed M.The impact of Stefan blowing on the stagnation point flow of HNF (hybrid nanofluid) across a sheet containing gyrotactic microorganisms under local thermal non-equilibrium conditions (LTNECs) is briefly discussed in this paper. The present work uses a simplified mathematical model to inspect the characteristics of heat transfer in the absence of LTNECs (local thermal equilibrium conditions). LTNECs, traditionally provide two distinct fundamental temperature gradients for the liquid and solid phases simultaneously. A hybrid nanofluid is a mixture of water as the base fluid and single-walled carbon nanotubes and multi-walled carbon nanotubes. Gyrotactic microorganisms are included into nanoparticles to increase their thermal efficiency in a variety of systems, including microbial fuel cells, enzyme biosensors, bacteria powered micromixers, chip-shaped microdevices like bio-microsystems, and micro-volumes like microfluidic devices. This model can also help environmental engineering by enhancing wastewater treatment procedures by allowing microorganisms to break down pollutants more effectively. It advances the development of more productive photo bioreactors, increasing the output of biofuels in the field of renewable energy. Material scientists can utilize this concept to develop controlled nanostructured materials with consistent composition and thermal properties. The considerable similarity transformation is used to build ordinary differential equations for the nonlinear dimensionless system. This problem is solved numerically by using the Bvp4c method. The results determine that when the Stefan blowing parameter increases, fluid flow increases but temperature, mass transfer rate, and heat transfer are decreased.Öğe Deterministic-Stochastic modeling: A new direction in modeling real world problems with crossover effect(Amer Inst Mathematical Sciences-Aims, 2022) Atangana, Abdon; Araz, Seda IgretMany real world problems depict processes following crossover behaviours. Modelling processes following crossover behaviors have been a great challenge to mankind. Indeed real world problems following crossover from Markovian to randomness processes have been observed in many scenarios, for example in epidemiology with spread of infectious diseases and even some chaos. Deterministic and stochastic methods have been developed independently to develop the future state of the system and randomness respectively. Very recently, Atangana and Seda introduced a new concept called piecewise differentiation and integration, this approach helps to capture processes with crossover effects. In this paper, an example of piecewise modelling is presented with illustration to chaos problems. Some important analysis including a piecewise existence and uniqueness and piecewise numerical scheme are presented. Numerical simulations are performed for different cases.Öğe The effect of Some Boron Derivatives on Kanamycin Resistance and Survival of E. coli and P. aeruginosa in Lake Water(Chinese Center Disease Control & Prevention, 2012) Darcan, Cihan; Kahyaoglu, MustafaObjective To study MIC value of 7 boron derivatives namely [Boric acid (H3BO3), Anhydrous Borax (Na2B4O7), Sodium Borate (NaBO2), Diammonium Tetraborate (NH4)(2)B4O7, Sodium Perborate (NaBO3), Boron Trioxide (B2O3), Potassium Tetraborate (K2B4O7)] on E. coli and P. aeruginosa and their effects on survival of bacteria in lake water and resistance against kanamycin antibiotic. Methods MIC values of Boron derivatives and antibiotic were studied by broth microdilution method. The effect of boron derivatives on survival of bacteria in lake water were also determined with plate count. Results Sodium perborate was determined as the most effective substance among the studied substances. Effectiveness increased as temperature increased. E. coli was more affected from P. aeruginosa in 8 mg/mL sodium perborate concentration in lake water. Moreover, it was determined that MIC value of kanamycin antibiotic decreased 200 times by especially treating P. aeruginosa with sodium perborate in lake water. However, it can be stated that this change in resistance did not arise from microorganisms. Conclusion Sodium perborate solution can be used supportedly in kanamycin antibiotic applications for P. aeruginosa. Future studies are necessary to explore the relation between sodium perborate and kanamycin which is effective on P. aeruginosa in lake water.Öğe Piecewise derivatives versus short memory concept: analysis and application(Amer Inst Mathematical Sciences-Aims, 2022) Atangana, Abdon; Araz, Seda İğretWe have provided a detailed analysis to show the fundamental difference between the concept of short memory and piecewise differential and integral operators. While the concept of short memory leads to different long tails in different intervals of time or space as a result of a power law with different fractional orders, the concept of piecewise helps to depict crossover behaviors of different patterns. We presented some examples with different numerical simulations. In some cases piecewise models led to transitional behavior from deterministic to stochastic, this is indeed the reason why this concept was introduced.Öğe Approximation of fixed point of generalized non-expansive mapping via new faster iterative scheme in metric domain(Amer Inst Mathematical Sciences-Aims, 2023) Muhammad, Noor; Asghar, Ali; Irum, Samina; Akgul, Ali; Khalil, E. M.; Inc, MustafaIn this paper, we establish a new iterative process for approximation of fixed points for contraction mappings in closed, convex metric space. We conclude that our iterative method is more accurate and has very fast results from previous remarkable iteration methods like Picard-S, Thakur new, Vatan Two-step and K-iterative process for contraction. Stability of our iteration method and data dependent results for contraction mappings are exact, correspondingly on testing our iterative method is advanced. Finally, we prove enquiring results for some weak and strong convergence theorems of a sequence which is generated from a new iterative method, Suzuki generalized non-expansive mappings with condition (C) in uniform convexity of metric space. Our results are addition, enlargement over and above generalization for some well-known conclusions with literature for theory of fixed point.Öğe Rhythmic behaviors of the human heart with piecewise derivative(Amer Inst Mathematical Sciences-Aims, 2022) Atangana, Abdon; Igret Araz, SedaIt has been noticed that heartbeats can display different patterns according to situations faced by a human. It has been indicated that, those passages from one pattern to another cannot be modelled using a single differential operator, either classical, fractional, or stochastic. In 2021, alternative concepts were introduced and called piecewise differentiation and integration, these concepts were applied in several complex problems with great insight. It is strongly believed that such will be leading concepts to modelling real-world problems with crossover behaviors. Crossover behaviors have been observed in heart rhythm, therefore, in this paper, the well-known van Der Pol equation will be subjected to piecewise analysis. Several simulations will be obtained using a numerical scheme based on Newton polynomial interpolation. Obtained figures show real world behaviors of heart rhythm with piecewise patterns.
