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


ÇAKAN Ü.

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

Özet

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.