Analysis of a fractional boundary value problem involving Riesz-Caputo fractional derivative

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:6 Issue:1
Analysis of a fractional boundary value problem involving Riesz-Caputo fractional derivative

Analysis of a fractional boundary value problem involving Riesz-Caputo fractional derivative

Authors : Abdellatif BOUTİARA, Naas ADJİMİ, Maamar BENBACHIR, Mohammed ABDO

Pages : 14-27

Doi:10.31197/atnaa.927938

View : 13 | Download : 6

Publication Date : 2022-03-31

Article Type : Research Paper

Abstract :This paper concerned with study the existence and uniqueness of solutions for a class of fractional differential equations with boundary conditions involving the Riesz-Caputo type fractional derivatives. We apply the methods of functional analysis such that the uniqueness result is established using the Banach contraction principle, whereas existence results are obtained using Schaefer`s and Krasnoslkii`s fixed theorems. Some examples are given to illustrate our acquired results.
Keywords : Riesz Caputo derivative, Boundary value problem, fixed point theorem

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