On the solvability of a functional Volterra integral equation

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

doi:10.24297/jam.v21i.9352

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 University, Damanhour, Egypt
Sheren A. Abd El-Salam Department of mathematics, Faculty of Science , Damanhour University, Damanhour, Egypt
Asmaa A. El Shahawy Department of mathematics, Faculty of Science , Damanhour University, Damanhour, Egypt

DOI:

https://doi.org/10.24297/jam.v21i.9352

Keywords:

Darbo fixed point theorem, Functions of bounded variation, Hausdorff measure of noncompactness, Volterra integral operator, Nemytskii operator

Abstract

In this article, we will investigate the existence of a unique bounded variation solution for a functional integral equation of Volterra type in the space L1(R+) of Lebesgue integrable functions.

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