Work

A Filippov's Theorem and Topological Structure of Solution Sets for Fractional q-Difference Inclusions

Year: 2022

Type: article

Abstract: In this paper we present some existence results and topological structure of the solution set for a class of Caputo implicit fractional q-difference inclusions in Banach spaces.Firstly, using the set-valued analysis, we study some global existence results and we present a new version of Filippov's Theorem.Further, we obtain results in the cases where the nonlinearity is upper as well as lower semi-continuous with respect to the second argument by using Mönch's and Schauder-Tikhonov fixed point theorems and the concept of measure of noncompactness.In the last section, we illustrate our results by an example.

Source: Dynamic Systems and Applications

DOI: 10.46719/dsa202231.01.02

Authors: Abdelkrim Salim, Said Abbas, Mouffak Benchohra, Erdal Karapinar

Institutions: Université Djilali de Sidi Bel Abbès, Université de Saida Dr Moulay Tahar, Çankaya University, China Medical University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4290075460

FWCI: 4.114

Cites: 40

Cited by: 22

Related to: 10