On the existence of a bounded variation solution of a fractional integral equation in L1[0, T] due to the spread of COVID 19

Wagdy G.  El-Sayed; Ragab O.  Abd El-Rahman; Sheren A.  Abd El-Salam; Asmaa A.  El Shahawy

doi:10.24297/jam.v21i.9254

Authors

Wagdy G. El-Sayed Department of mathematics and computer science Faculty of Science, Alexandria University, Alexandria, Egypt
Ragab O. Abd El-Rahman Department of mathematics, Faculty of Science , Damanhour Universty, Damanhour, Egypt
Sheren A. Abd El-Salam Department of mathematics, Faculty of Science , Damanhour Universty, Damanhour, Egypt
Asmaa A. El Shahawy Department of mathematics, Faculty of Science , Damanhour Universty, Damanhour, Egypt

DOI:

https://doi.org/10.24297/jam.v21i.9254

Keywords:

Darbo fixed point theorem, Functions of bounded variation, Hausdorff measure of noncompactness, Fractional calculus, Nemytskii operator

Abstract

In this article, we will investigate the existence and uniqueness of a bounded variation solution for a fractional integral equation in the space L1[0, T] of Lebesgue integrable functions.

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