On new existence results for fractional integro-differential equations with impulsive and integral conditions

Authors:
A. Anguraj;P. Karthikeyan;M. Rivero;J. J. Trujillo
Affiliations:
Department of Mathematics, PSG College of Arts and Science, Coimbatore-641 014, India;Department of Mathematics, KSR College of Arts and Science, Tiruchengode-637 215, India;Universidad de La Laguna, Departamento de Matemática Fundamental, 38271 La Laguna, Tenerife, Spain;Universidad de La Laguna, Departamento de Análisis Matemático, 38271 La Laguna, Tenerife, Spain
Venue:
Computers & Mathematics with Applications
Year:
2014

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Abstract

In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problems with integral condition for impulsive fractional integro-differential equations. The results are established by the application of the contraction mapping principle and the Krasnoselskii fixed point theorem. An example is provided to illustrate the results.