Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative

In this paper, we investigate the existence of solutions for a class of fractional boundary value problems with anti-periodic boundary value conditions with ψ-Caupto fractional derivative. By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fr...

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2019, Vol.2019 (2019), p.1-8
Main Authors: Yang, Dandan, Bai, Chuanzhi
Format: Article
Language:English
Subjects:
Boundary value problems
Existence theorems
Fixed points (mathematics)
Inclusions
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Summary:In this paper, we investigate the existence of solutions for a class of fractional boundary value problems with anti-periodic boundary value conditions with ψ-Caupto fractional derivative. By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fractional differential inclusions with ψ-Caputo derivatives are presented. Our result generalizes the known special case if ψ x =x and single known results to the multi-valued ones.
ISSN:1026-0226
1607-887X
DOI:10.1155/2019/9824623