On Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivatives

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dc.contributor.authorFarman, Muhammad
dc.contributor.authorAslam, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorJarad, Fahd
dc.date.accessioned2024-12-24T19:29:37Z
dc.date.available2024-12-24T19:29:37Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we consider the stiff systems of ordinary differential equations arising from chemistry kinetics. We develop the fractional order model for chemistry kinetics problems by using the new fractal operator such as fractal fractional and Atangana-Toufik scheme. Recently a deep concept of fractional differentiation with nonlocal and nonsingular kernel was introduced to extend the limitations of the conventional Riemann-Liouville and Caputo fractional derivatives. Many scientific results are presented in the paper and also prove these results by effective numerical results. These concepts are very important to use for real-life problems like Brine tank cascade, Recycled Brine tank cascade, pond pollution, home heating, and biomass transfer problem. These results are very important for solving the nonlinear model in chemistry kinetics which will be helpful to understand the chemical reactions and their actual behavior; also the observation can be developed for future kinematic chemical reactions with the help of these results.
dc.identifier.doi10.1115/1.4054347
dc.identifier.issn1555-1423
dc.identifier.issn1555-1415
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85144604909
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1115/1.4054347
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7174
dc.identifier.volume17
dc.identifier.wosWOS:000800313400004
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAsme
dc.relation.ispartofJournal of Computational and Nonlinear Dynamics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectchemistry kinetics
dc.subjectfractal fractional derivative
dc.subjectAtangana-Toufik Scheme
dc.subjectnonlocal and nonsingular kernel
dc.titleOn Solutions of the Stiff Differential Equations in Chemistry Kinetics With Fractal-Fractional Derivatives
dc.typeArticle

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