A Result on Solvability of Some Fractional Integro-differential Equations in Abstract Spaces

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ÇAKAN Ü.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019 (SCI-Expanded)

• Publication Type: Article / Article
• Volume:
• Publication Date: 2019
• Doi Number: 10.1007/s41980-019-00306-3
• Journal Name: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Inonu University Affiliated: Yes

Abstract

This paper concerns with a class of fractional integro-differential equations in the space of continuous functions which defined on interval [0, a] and take values in a Banach space E. Using a generalized Darbo fixed-point theorem associated with measure of noncompactness, the existence of solutions has been established. Also an example which shows that the main result is applicable is given.