Results 11 to 20 of about 182,739 (283)

Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference

Abstract and Applied Analysis, 2010
The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has ...
Coşkun Yakar
doaj   +1 more source

The double auxiliary equations method and its application to space-time fractional nonlinear equations

Journal of Ocean Engineering and Science, 2019
This paper reflects the execution of a reliable technique which we proposed as a new method called the double auxiliary equations method for constructing new traveling wave solutions of nonlinear fractional differential equation.
L.A. Alhakim, A.A. Moussa
doaj   +1 more source

A New Approach for the Approximate Analytical Solution of Space-Time Fractional Differential Equations by the Homotopy Analysis Method

Advances in Mathematical Physics, 2019
The motivation of this study is to construct the truncated solution of space-time fractional differential equations by the homotopy analysis method (HAM).
Ali Demir, Mine Aylin Bayrak, Ebru Ozbilge   +2 more
doaj   +1 more source

On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations [PDF]

, 2019
In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results.
Kharade, Jyoti P., Kucche, Kishor D., Sousa, J. Vanterler da C.   +2 more
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Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method

Results in Physics, 2017
This article deals with finding some exact solutions of nonlinear fractional differential equations (NLFDEs) by applying a relatively new method known as G′G2-expansion method.
Sadaf Bibi, Syed Tauseef Mohyud-Din, Rahmat Ullah, Naveed Ahmed, Umar Khan   +4 more
doaj   +1 more source

Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method

Advances in Mathematical Physics, 2021
In this study, we deal with the problem of constructing semianalytical solution of mathematical problems including space-time-fractional linear and nonlinear differential equations. The method, called Shehu Variational Iteration Method (SVIM), applied in
Suleyman Cetinkaya, Ali Demir, Hulya Kodal Sevindir   +2 more
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A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations

The Scientific World Journal, 2014
We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations.
Özkan Güner, Adem C. Cevikel
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Comparison of third-order fractional partial differential equation based on the fractional operators using the explicit finite difference method

Alexandria Engineering Journal, 2023
In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla, Sadeq Taha Abdulazeez, Mahmut Modanli   +2 more
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Differential transform method for conformable fractional partial differential equations [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2019
We expand a new generalization of the two-dimensional differential trans form method. The new generalization is based on the two-dimensional differential transform method, fractional power series expansions, and conformable fractional derivative.
M. Eslami, S.A. Taleghani
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Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]

, 2019
In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative.
Iskenderoglu, Gulistan, Kaya, Dogan
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