Journal ArticleDOI
Jacobi Elliptic Function Expansion Method for Solving KdV Equation with Conformable Derivative and Dual-Power Law Nonlinearity
V. Senthil Kumar,Hadi Rezazadeh,Mostafa Eslami,Franoosh Izadi,Mohamed S. Osman,Mohamed S. Osman +5 more
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In this paper, the KdV equation with conformable derivative and dual-power law nonlinearity is considered, and the Jacobi elliptic function expansion method is used to obtain exact solutions of the kdV model.Abstract:
In this work, the KdV equation with conformable derivative and dual-power law nonlinearity is considered. It is exceedingly used as a model to depict the feeble nonlinear long waves in different fields of sciences. Furthermore, it explains the comparable effects of weak dispersion and weak nonlinearity on the evolvement of the nonlinear waves. Using the Jacobi elliptic function expansion method, new exact solutions of that equation have been found. As results, some obtained solutions behave as periodic traveling waves, bright soliton, and dark soliton.read more
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A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment
Sunil Kumar,Ajay Kumar,Bessem Samet,José Francisco Gómez-Aguilar,Mohamed S. Osman,Mohamed S. Osman +5 more
TL;DR: This paper analyses the existence and uniqueness of given tumor-immune model of arbitrary order, and examines the interactions among distinct tumor cell inhabitants and immune structure through a model of real world problem of medical science.
Journal ArticleDOI
Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method
Hari M. Srivastava,Dumitru Baleanu,José António Tenreiro Machado,Mohamed S. Osman,Hadi Rezazadeh,Saima Arshed,Hatıra Günerhan +6 more
TL;DR: In this article, a traveling wave solution for nonlinear directional couplers with optical metamaterials was found by means of the modified Kudryashov method. But the results of the method were limited to the case of two forms of optical coupler, namely the twin-and multiple-core coupler, which have applications as intensity-dependent switches and as limiters.
Journal ArticleDOI
Investigation of soliton solutions with different wave structures to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation
Mohamed S. Osman,Kalim U. Tariq,Ahmet Bekir,Ahmed Elmoasry,Nasser S. Elazab,Muhammad Younis,Mahmoud Abdel-Aty +6 more
Journal ArticleDOI
Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg–de Vries equations
Choonkil Park,Rahmatullah Ibrahim Nuruddeen,Khalid K. Ali,Lawal Muhammad,Mohamed S. Osman,Mohamed S. Osman,Dumitru Baleanu +6 more
TL;DR: In this paper, the authors investigate the class of fifth-order Korteweg-de Vries equations by devising suitable novel hyperbolic and exponential ansatze.
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Analytical and numerical study of the HIV-1 infection of CD4+ T-cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome with the effect of antiviral drug therapy
Khalid K. Ali,Mohamed S. Osman,Mohamed S. Osman,Haci Mehmet Baskonus,Nasser S. Elazabb,Esin Ilhan +5 more
References
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Book
Theory and Applications of Fractional Differential Equations
TL;DR: In this article, the authors present a method for solving Fractional Differential Equations (DFE) using Integral Transform Methods for Explicit Solutions to FractionAL Differentially Equations.
Book
An Introduction to the Fractional Calculus and Fractional Differential Equations
Kenneth S. Miller,Bertram Ross +1 more
TL;DR: The Riemann-Liouville Fractional Integral Integral Calculus as discussed by the authors is a fractional integral integral calculus with integral integral components, and the Weyl fractional calculus has integral components.
Book
The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order
Keith B. Oldham,Jerome Spanier +1 more
TL;DR: In the beginning, when having significantly cash, why don't you attempt to acquire something basic in the beginning? That's something that will guide you to understand even more in the region of the globe, experience, some places, history, amusement, and a lot more as discussed by the authors.
Journal ArticleDOI
A new definition of fractional derivative
TL;DR: A new definition of fractional derivative and fractional integral is given and it is shown that it is the most natural definition, and the most fruitful one.