Related Articles ( Fractional differential equations )
Numerical Solution for Solving Fractional Differential Equations using Shifted Chebyshev Wavelet
In this paper, we are interested to develop a numerical method based on the Chebyshev wavelets for solving fractional order differential equations (FDEs). As a result of the presentation of Chebyshev wavelets, we highlight the operational matrix of the fractional order derivative through wavelet-polynomial ...
Bernoulli Operational Matrix of Fractional Derivative for Solution of Fractional Differential Equations
The aim of this paper is to present a numerical method based on Bernoulli polynomials for numerical solutions of fractional differential equations(FDEs). The Bernoulli operational matrix of fractional derivatives[31] is derived and used together with tau and collocation methods to reduce the FDEs to a ...
On the Study of Nonlinear Fractional Differential Equations on Unbounded Interval
By the means of the variation of constants formula and some analytical skills, we use Banach contraction principle to investigate in this paper an uniqueness and existence of unbounded solution for nonlinear differential equations of fractional orders in weighted Banach space. At last, we present an illustrative ...
Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations
In this paper, we study the existence of solutions for fractional differential equations with the Caputo-Hadamard fractional derivative of order 2 (1, 2]. The uniqueness result is proved via Banach’s contraction mapping principle and the existence results are established by using the Schauder’s ...
Stability for Pantograph Fractional Differential Equations
In this manuscript, we studied some sufficient condition for the asymptotically stable of the zero solution of pantograph Caputo fractional differential equations of order (1 < < 2). In a weighted Banach space, we used Krasnoselskii’s fixed point theorem to derive new reIn this manuscript, ...
Existence Solutions For Sequential ψ-Caputo Fractional Differential Equations
In this manuscript, we presented the technique of having solutions to sequential ψ-Caputo fractional differential equations (ψ-CFDE) with fractional boundary conditions (ψ-FBCs). Well-known fixed point techniques are used to analyze the existence of the problem. In particular, the principle ...