Existence of solutions for nonlocal semilinear fractional integro-differential equation with Krasnoselskii-Krein-type conditions

  • A. Anguraj KSR College of Arts and Science
  • P. Karthikeyan

Abstract

In this paper, we are mainly focused upon the existence and uniqueness of mild solutions to a semilinear fractional integro-differential equations with nonlocal conditions in Banach spaces. Based upon suitable fixed point thereoms combined with the study of an α-resolvent family, the main results are established under the Krasnoselskii-Krein-type conditions.

Author Biography

A. Anguraj, KSR College of Arts and Science

Department of Mathematics

Assiociate Professor

Published
2012-08-24
Section
Articles