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

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.

Existence of a bounded variation solution of a nonlinear integral equation in L1(R+)

“…The most important operator in nonlinear functional analysis is the so-called Nemytskii operator ( [2], [11], [12], [21]).…”