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

  • Faez N. Ghaffoori Department of Mathematics, College of Basic Education, University of Mustansiriyah, Baghdad, Iraq
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 𝐿1(𝑅+) on unbounded interval [0,∞).

Published
2020-05-17
How to Cite
GhaffooriF. N. (2020). On Existence and Uniqueness of an Integrable Solution for a Fractional Volterra Integral Equation on 𝑹+. Iraqi Journal of Science, 122-125. https://doi.org/10.24996/ijs.2020.61.S.I.16