An existence result for fractional integro-differential equations on Banach space

Authors

  • Mohammed S. Abdo Dr. Babasaheb Ambedkar Marathwada University
  • Satish K. Panchal Dr. Babasaheb Ambedkar Marathwada University,

DOI:

https://doi.org/10.30495/jme.v13i0.854

Keywords:

Integro-differential equations, Fractional derivative and integral, Krasnoselskii fixed point theorem

Abstract

In this paper, we consider a class of nonlinear fractional integro-differential equations with fractional derivative of Caputo sense. We shall rely on the Krasnoselskii fixed point theorem to obtain the existence result in Banach spaces. Moreover, one of Krasnoselskii-Krein conditions is applied to establish the result. Finally, an illustrative example is also presented.

Author Biographies

Mohammed S. Abdo, Dr. Babasaheb Ambedkar Marathwada University

Research Scholar At. Department of Mathematics,

Dr. Babasaheb Ambedkar Marathwada University,

Aurangabad, 431004 India

Satish K. Panchal, Dr. Babasaheb Ambedkar Marathwada University,

Research Scholar At. Department of Mathematics,

Dr. Babasaheb Ambedkar Marathwada University,

Aurangabad, 431004 India

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Published

2019-04-10

Issue

Vol. 13

Section

Vol. 13, No. 3, (2019)

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