Results 101 to 110 of about 868 (169)

On the nonlinear Hadamard-type integro-differential equation. [PDF]

Fixed Point Theory Algorithm Sci Eng, 2021
Li C.
europepmc   +1 more source

A Perron-type theorem for fractional linear differential systems [PDF]

Electronic Journal of Differential Equations, 2017 (2017), No. 142, 1-12, 2016
We give a necessary and sufficient condition for a system of linear inhomogeneous fractional differential equations to have at least one bounded solution. We also obtain an explicit description for the set of all bounded (or decay) solutions for these systems.
arxiv  

A novel numerical approach to solutions of fractional Bagley-Torvik equation fitted with a fractional integral boundary condition

Demonstratio Mathematica
In this work, we present a sophisticated operating algorithm, the reproducing kernel Hilbert space method, to investigate the approximate numerical solutions for a specific class of fractional Begley-Torvik equations (FBTE) equipped with fractional ...
Aljazzazi Mazin, Maayah Banan, Djeddi Nadir, Al-Smadi Mohammed, Momani Shaher   +4 more
doaj   +1 more source

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

Demonstratio Mathematica, 2019
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem.
Ahmad Manzoor, Zada Akbar, Alzabut Jehad
doaj   +1 more source

Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method [PDF]

arXiv, 2016
Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in [1]. Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions is developed in [2].
arxiv  

Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative

Demonstratio Mathematica
Riesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid ...
Ji Dehong, Fu Shiqiu, Yang Yitao
doaj   +1 more source

Numerical solution of fractional boundary value problem with caputo-fabrizio and its fractional integral. [PDF]

J Appl Math Comput, 2022
Moumen Bekkouche M, Mansouri I, Ahmed AAA.   +2 more
europepmc   +1 more source

Global Attractivity for Fractional Differential Equations in Weighted Spaces [PDF]

arXiv, 2016
We investigate fractional Cauchy type problem. By using Schauder fixed point theorem we obtain sufficient conditions for the global attractivity of solutions for nonlinear fractional differential equations in weighted spaces.
arxiv  

Higher-order nonlocal multipoint q-integral boundary value problems for fractional q-difference equations with dual hybrid terms

Open Mathematics
In this article, we introduce and study a new class of higher-order fractional q-difference equations involving Riemann-Liouville q-derivatives with dual hybrid terms, supplemented with nonlocal multipoint q-integral boundary conditions. The existence of
Alsaedi Ahmed, Alharbi Boshra, Ahmad Bashir   +2 more
doaj   +1 more source

Involvement of three successive fractional derivatives in a system of pantograph equations and studying the existence solution and MLU stability

Demonstratio Mathematica
Developing a model of fractional differential systems and studying the existence and stability of a solution is considebly one of the most important topics in the field of analysis.
Hammad Hasanen A., Işık Hüseyin, Aydi Hassen, Sen Manuel De la   +3 more
doaj   +1 more source