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

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Abstract

This paper concerns with a class of fractional integro-differential equations in the space of continuous functions which defined on interval \( \left[ 0,a\right] \) 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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Arts, İnönü University, 44280, Malatya, Turkey

    Ümit Çakan

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  1. Ümit Çakan
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Correspondence to Ümit Çakan.

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Communicated by Asadollah Aghajani.

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Çakan, Ü. A Result on Solvability of Some Fractional Integro-differential Equations in Abstract Spaces. Bull. Iran. Math. Soc. 46, 987–1001 (2020). https://doi.org/10.1007/s41980-019-00306-3

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  • DOI: https://doi.org/10.1007/s41980-019-00306-3

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