Existence of solutions for fractional impulsive integro-differential systems

R.Poongodia,* and R.Murugesub

Existence of solutions for fractional impulsive integro-differential systems

Authors :

R.Poongodi^a,* and R.Murugesu^b

Author Address :

^aDepartment of Mathematics (CA), Kongunadu Arts and Science College, Coimbatore- 641 029, Tamil Nadu, India.
^bDepartment of Mathematics, SRMV College of Arts and Science, Coimbatore- 641 020, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this manuscript, we establish the existence results for abstract Cauchy problem for a class of mixed type impulsive fractional functional integro-differential equations involving Caputo fractional derivative in the order $alpha in (0,1]$. The results are obtained by using fractional calculus theory and fixed point techniques.

Keywords :

Impulsive differential equations, Caputo fractional derivatives, existence, fixed point theorem.

DOI :

Article Info :

Received : August 05, 2013; Accepted : September 01, 2013.