Caputo-Hadamard fractional differential equations with nonlocal fractional integro-differential boundary conditions via topological degree theory

AIMS Mathematics

Choukri Derbazi¹  Hadda Hammouche¹ 

[1] Laboratory of Mathematics and Applied Sciences University of Ghardaia, 47000, Algeria;

关键词: fractional differential equations;    caputo-hadamard derivative;    fractional integral conditions;    existence;    uniqueness;    topological degree theory;    condensing maps;   

DOI  :  10.3934/math.2020174

来源: DOAJ

【 摘 要 】

This article aims to prove the existence and uniqueness of solutions to a nonlinear boundary value problem of fractional differential equations involving the Caputo-Hadamard fractional derivative with nonlocal fractional integro-differential boundary conditions. The concerned results are obtained employing topological degree for condensing maps via a priori estimate method and the Banach contraction principle fixed point theorem. Besides, two illustrative examples are presented.

【 授权许可】

Unknown