Results 21 to 30 of about 29,097 (308)

Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations

Abstract and Applied Analysis, 2013
The exp-function method is presented for finding the exact solutions of nonlinear fractional equations. New solutions are constructed in fractional complex transform to convert fractional differential equations into ordinary differential equations.
Ahmet Bekir, Özkan Güner, Adem C. Cevikel   +2 more
doaj   +1 more source

Mixed Collocation for Fractional Differential Equations

Numerical Algorithms, 2003
This paper is concerned with the numerical solution of the initial value problem for the fractional differential equation of order \( \beta, \) \(( 0 < \beta < 1 )\) given by \( D^{\beta} ( u - u_0) = \Phi ( u(t), t), t>0 \), with \( u - u_0 = 0, t \leq 0\) where \( \Phi \) is a sufficiently regular function and \( D^{\beta}\) is the fractional ...
Dubois, François, Mengué, Stéphanie
openaire   +4 more sources

Investigation to analytic solutions of modified conformable time–space fractional mixed partial differential equations

Partial Differential Equations in Applied Mathematics, 2022
In this paper, the invariant subspace method (ISM) is developed to obtain the exact solution of linear and nonlinear time and space fractional mixed partial differential equations involving modified conformable fractional derivative (MCFD). Moreover, the
Chavda Divyesh Vinodbhai, Shruti Dubey
doaj   +1 more source

Inverse Problems for Degenerate Fractional Integro-Differential Equations

, 2020
This paper deals with inverse problems related to degenerate fractional integro-differential equations in Banach spaces. We study existence, uniqueness and regularity of solutions to the problem, claiming to extend well known studies for the case of non ...
Hiroki Tanabe, Mohammed Al Horani, Angelo Favini, Mauro Fabrizio   +3 more
core   +1 more source

Exact Solution of Linear System of Fractional Differential Equations with Constant Coefficients

, 2022
: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional derivative, the exact solution of linear system of fractional differential equations with constant coefficients is obtained.
Chii-Huei Yu
core   +1 more source

Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion Method

Journal of Applied Mathematics, 2014
Based on Jumarie’s modified Riemann-Liouville derivative, the fractional complex transformation is used to transform fractional differential equations to ordinary differential equations.
Wei Li, Huizhang Yang, Bin He
doaj   +1 more source

Analytical Solutions for Multi-Time Scale Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion and Their Applications

Entropy, 2018
In this paper, we investigate analytical solutions of multi-time scale fractional stochastic differential equations driven by fractional Brownian motions.
Xiao-Li Ding, Juan J. Nieto
doaj   +1 more source

Solutions of Fractional Differential Type Equations by Fixed Point Techniques for Multivalued Contractions

Complexity, 2021
This paper involves extended b−metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established
Hasanen A. Hammad, Hassen Aydi, Manuel De la Sen   +2 more
doaj   +1 more source

Numerical Solutions for Multi-Term Fractional Order Differential Equations with Fractional Taylor Operational Matrix of Fractional Integration

, 2020
In this article, we propose a numerical method based on the fractional Taylor vector for solving multi-term fractional differential equations. The main idea of this method is to reduce the given problems to a set of algebraic equations by utilizing the ...
İbrahim Avcı, Nazim I. Mahmudov
core   +1 more source

Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

Advances in Difference Equations, 2021
In this work, a technique for finding approximate solutions for ordinary fraction differential equations (OFDEs) of any order has been proposed. The method is a hybrid between Galerkin and collocation methods.
Mohamed Abdelhakem, Doha Mahmoud, Dumitru Baleanu, Mamdouh El-kady   +3 more
doaj   +1 more source