Results 21 to 30 of about 7,534 (134)

An Initial Problem for a Class of Weakly Degenerate Semilinear Equations with Lower Order Fractional Derivatives

Известия Иркутского государственного университета: Серия "Математика", 2021
An initial value problem is studied for a class of evolutionary equations with a weak degeneration, which are nonlinear with respect to lower order fractional Gerasimov – Caputo derivatives.
G.D. Baybulatova, M.V. Plekhanova
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A note on exp-function method combined with complex transform method applied to fractional differential equations

Advances in Nonlinear Analysis, 2015
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
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Fractional Reduced Differential Transform Method for Solving Mutualism Model with Fractional Diffusion

International Journal of Analysis and Applications, 2023
This study presents the fractional reduced differential transform method for a nonlinear mutualism model with fractional diffusion. The fractional derivatives are described by Caputo's fractional operator.
Mohamed Ahmed Abdallah, Khaled Abdalla Ishag   +1 more
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Effective Method for Solving Different Types of Nonlinear Fractional Burgers’ Equations

Mathematics, 2020
In this study, a relatively new method to solve partial differential equations (PDEs) called the fractional reduced differential transform method (FRDTM) is used. The implementation of the method is based on an iterative scheme in series form.
Safyan Mukhtar, Salah Abuasad, Ishak Hashim, Samsul Ariffin Abdul Karim   +3 more
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A note on Riccati-Bernoulli Sub-ODE method combined with complex transform method applied to fractional differential equations

Nonlinear Engineering, 2018
In this paper, the fractional derivatives in the sense of modified Riemann–Liouville and the Riccati-Bernoulli Sub-ODE method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional ...
Abdelrahman Mahmoud A.E.
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Mathematical frameworks for investigating fractional nonlinear coupled Korteweg-de Vries and Burger’s equations

Frontiers in Physics
This article utilizes the Aboodh residual power series and Aboodh transform iteration methods to address fractional nonlinear systems. Based on these techniques, a system is introduced to achieve approximate solutions of fractional nonlinear Korteweg-de ...
Saima Noor, Saima Noor, Wedad Albalawi, Rasool Shah, M. Mossa Al-Sawalha, Sherif M. E. Ismaeel, Sherif M. E. Ismaeel   +6 more
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A Class of Quasilinear Equations with Riemann–Liouville Derivatives and Bounded Operators

Axioms, 2022
The existence and uniqueness of a local solution is proved for the incomplete Cauchy type problem to multi-term quasilinear fractional differential equations in Banach spaces with Riemann–Liouville derivatives and bounded operators at them.
Vladimir E. Fedorov, Mikhail M. Turov, Bui Trong Kien   +2 more
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Numerical Solution of Caputo-Fabrizio Time Fractional Distributed Order Reaction-diffusion Equation via Quasi Wavelet based Numerical Method [PDF]

Journal of Applied and Computational Mechanics, 2020
In this paper, we derive a novel numerical method to find out the numerical solution of fractional partial differential equations (PDEs) involving Caputo-Fabrizio (C-F) fractional derivatives. We first find out the approximation formula of C-F derivative
Sachin Kumar, José Francisco Gómez-Aguilar   +1 more
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Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations

Journal of Applied Mathematics, 2013
We implement relatively analytical techniques, the homotopy perturbation method, and variational iteration method to find the approximate solutions for time and space fractional Benjamin-Bona Mahony equation. The fractional derivatives are described in
Khaled A. Gepreel, Taher A. Nofal, Fawziah M. Alotaibi   +2 more
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A Least Squares Differential Quadrature Method for a Class of Nonlinear Partial Differential Equations of Fractional Order

Mathematics, 2020
In this paper a new method called the least squares differential quadrature method (LSDQM) is introduced as a straightforward and efficient method to compute analytical approximate polynomial solutions for nonlinear partial differential equations with ...
Constantin Bota, Bogdan Căruntu, Dumitru Ţucu, Marioara Lăpădat, Mădălina Sofia Paşca   +4 more
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