Asymptotically almost periodic mild solutions to a class of Weyl-like fractional difference equations

Asymptotically almost periodic mild solutions to a class of Weyl-like fractional difference equations

Abstract This paper is concentrated on a class of difference equations with a Weyl-like fractional difference in a Banach space X forms like △αx(n)=Ax(n+1)+F(n,x(n)),n∈Z, $$ \triangle ^{\alpha }x(n)=Ax(n+1)+F\bigl(n, x(n)\bigr), \quad n\in \mathbb{Z}, $$ where α∈(0,1) $\alpha \in (0, 1)$, the operat...

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Bibliographic Details
Main Authors: Junfei Cao, Bessem Samet, Yong Zhou
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Advances in Difference Equations
Subjects:
Asymptotically almost periodic sequence
Fractional difference equation
Fixed point theorem
Leray–Schauder alternative theorem
Online Access:http://link.springer.com/article/10.1186/s13662-019-2316-9

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http://link.springer.com/article/10.1186/s13662-019-2316-9

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