Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative. (20th December 2019)

• Record Type: Journal Article
• Authors: Yang, Dandan; Bai, Chuanzhi
• Other Names: Peterson Allan C. Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2019(2019)
• Publication Date: 2019-12-20
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2019/9824623
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : 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.