# On the solvability of a functional Volterra integral equation

## 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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*JOURNAL OF ADVANCES IN MATHEMATICS*,

*21*, 199–208. https://doi.org/10.24297/jam.v21i.9352

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Copyright (c) 2022 Wagdy G. El-Sayed, Ragab O. Abd El-Rahman, Sheren A. Abd El-Salam, Asmaa A. El Shahawy

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