Yazar "Imran, Muhammad Asjad" seçeneğine göre listele

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    A comparative study on non-Newtonian fractional-order Brinkman type fluid with two different kernels
    (Wiley, 2024) Sarwar, Shahzad; Aleem, Maryam; Imran, Muhammad Asjad; Akgul, Ali
    This study carried out the free convective non-Newtonian fluid of Brinkman type flow near an upright plate moving with velocity f(t). A fractional order model for non-Newtonian fluid of Brinkman type flow is proposed. The time derivative in the proposed fractional flow model is considered by using the two types of fractional derivatives namely Caputo fractional derivative and Atangana-Baleanu fractional derivative. The system of conjugated fractional partial differential equations for the temperature theta, velocity u and concentration C are worked out by applying optimal homotopy asymptotic technique. The effectuate of tangible and fractional variables on the domains of velocity u, temperature theta and concentration C are envisioned graphically. The rate of heat and mass transfer in the form of Nu and Sh is also calculated for both fractional derivatives. The numerical results reveal the efficiency, reliability, significant features, and simple in computation with high accuracy of consider method for non-Newtonian fractional order fluid of Brinkman type flow. We ascertained that our results are in excellent agreement with the exact results.
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    Exact solutions of (2+1)-dimensional Schrodinger's hyperbolic equation using different techniques
    (Wiley, 2023) Rehman, Hamood Ur; Imran, Muhammad Asjad; Ullah, Naeem; Akgul, Ali
    In this paper, we derive new optical soliton solutions to (2 + 1)-dimensional Schrodinger's hyperbolic equation using extended direct algebraic method and new extended hyperbolic function method. New acquired solutions have the form of bright, dark, combined dark-bright, singular, and combined bright-singular solitons solutions. These solutions reveal that our techniques are straightforward and dynamic. The solutions are also demonstrated through 3-d and 2-d plots to make clear the physical structures for such kind of model. The obtained results illustrate the power of the present method to determine soliton solution of nonlinear evolution equations.
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    MHD Flow of a Newtonian Fluid in Symmetric Channel with ABC Fractional Model Containing Hybrid Nanoparticles
    (Bentham Science Publ Ltd, 2022) Ikram, Muhammad Danish; Imran, Muhammad Asjad; Chu, Yu Ming; Akgul, Ali
    Introduction: The nanofluid is the novelty of nanotechnology to overcome the difficulties of heat transfer in several manufacturing and engineering areas. Fractional calculus has many applications in nearly all fields of science and engineering, which include electrochemistry, dispersion and viscoelasticity. Objectives: This paper focused on the heat transfer of a hybrid nanofluid in two vertical parallel plates and presented a comparison between fractional operators. Methods: In this paper, the fractional viscous fluid model is considered along with physical initial and boundary conditions for the movement occurrences. The analytical solutions have been obtained via the Laplace transform method for the concentration, temperature and velocity fields. After that, we have presented a comparison between Atangana-Baleanu (ABC), Caputo (C) and Caputo-Fabrizio (CF) fractional operators. Results: The comparison of different base fluids (Water, kerosene, Engine Oil) is discussed graphically with respect to temperature and velocity. The results show that due to the high thermal conductivity of water, temperature and velocity are high. While engine oil has maximum viscosity than water and kerosene, thus temperature and velocity are very low. However, due to the improvement in the thermal conductivity with the enrichment of hybrid nanoparticles, the temperature increased, and since the viscosity also increased, the velocity got reduced. Conclusion: Atangana-Baleanu (ABC) fractional operator provided better memory effect of concentration, temperature and velocity fields than Caputo (C) and Caputo-Fabrizio (CF). Temperature and velocity of water with hybridized nanoparticles were high in comparison to kerosene and engine oil.
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    New soliton solutions of the 2D-chiral nonlinear Schrodinger equation using two integration schemes
    (Wiley, 2021) Rehman, Hamood Ur; Imran, Muhammad Asjad; Bibi, Musarat; Riaz, Maham; Akgul, Ali
    In this paper, the new exact solutions for 2D-chiral nonlinear Schrodinger equation (CNLSE) are acquired using two proficient integration tool, namely, the new extended direct algebraic method (EDAM) and extended hyperbolic function method (EHFM). We develop soliton and some other solutions by utilizing the particular values for the parameters involved in these methods. These methods are devoted to secure different kinds of new soliton solutions as well as trigonometric and hyperbolic function solutions. Furthermore, for the physical representation of the obtained solutions of the CNLSE, various 2D and 3D graphs are presented.
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    On solutions of the Newell-Whitehead-Segel equation and Zeldovich equation
    (Wiley, 2021) Rehman, Hamood Ur; Imran, Muhammad Asjad; Ullah, Naeem; Akgul, Ali
    In this study, we present new solutions of Newel-Whitehead-Segel and Zeldovich equations via the new extended direct algebraic method (EDAM) by taking the special values to involved parameters in the method. The novel exact and soliton solutions are extracted in form of generalized trigonometric and hyperbolic functions. These acquired results reveal the supremacy of the new EDAM. For more illustration of our retrieved solutions, some distinct kinds of 2D and 3D graphs are presented.
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    Optical Solitons of Two Non-linear Models in Birefringent Fibres Using Extended Direct Algebraic Method
    (Springer, 2021) Rehman, Hamood Ur; Ullah, Naeem; Imran, Muhammad Asjad; Akgül, Ali
    In this study, we build novel optical soliton solutions of parabolic law and non-local law nonlinearities in birefringent fibers by using new extended direct algebraic method. New acquired solutions are in form of singular, periodic-singular, dark, bright, combined dark-bright, combined dark-singular optical solitons. These solutions expose that our technique is reliable, straightforward and dynamic. Some of the obtained solutions are demonstrated through 3-d and 2-d plots to make clear the physical structures for such kind of models. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.
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    Unsteady flow of fractional Burgers' fluid in a rotating annulus region with power law kernel
    (Elsevier, 2022) Javaid, Maria; Tahir, Madeeha; Imran, Muhammad; Baleanu, Dumitru; Akgul, Ali; Imran, Muhammad Asjad
    Keeping in view of the complex fluid mechanics in bio-medicine and engineering, the Burgers' fluid with a fractional derivatives model analyzed through a rotating annulus. The governing partial differential equation solved for velocity field and shear stress by using integral transformation method and using Bessel equations. The transformed equation inverted numerically by using Gaver-Stehfest's algorithm. The approximate analytical solution for rotational velocity, and shear stress are presented. The influence of various parameters like fractional parameters, relaxation and retardation time parameters material constants, time and viscosity parameters are drawn numerically. It is found that the relaxation time and time helps the flow pattern, on the other hand other material constants resist the fluid rotation. Fractional parameters effect on fluid flow is opposite to each other. Finally, to check the validity of the solution there are comparisons for velocity field and shear stress for obtained results with an other numerical algorithm named Tzou's algorithm. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.