On Existence and Uniqueness of an Integrable Solution for a Fractional Volterra Integral Equation on ð‘¹+

Faez N.  Ghaffoori

doi:10.24996/ijs.2020.61.S.I.16

On Existence and Uniqueness of an Integrable Solution for a Fractional Volterra Integral Equation on ð‘¹+

Authors

Faez N. Ghaffoori Department of Mathematics, College of Basic Education, University of Mustansiriyah, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.S.I.16

Keywords:

space of Lebesgue integrable, Banach fixed point theorem, fractional Volterra integral equation, Superposition Operator

Abstract

In this paper, by using the Banach fixed point theorem, we prove the existence and uniqueness theorem of a fractional Volterra integral equation in the space of Lebesgue integrable ð¿1(ð‘…+) on unbounded interval [0,âˆž).

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Published

2020-05-17

Issue

(Special Issue) The First Conference of Mathematics - 2020

Section

Math Conference 2019

How to Cite

On Existence and Uniqueness of an Integrable Solution for a Fractional Volterra Integral Equation on ð‘¹+. (2020). Iraqi Journal of Science, 122-125. https://doi.org/10.24996/ijs.2020.61.S.I.16