Nonlocal impulsive fractional semilinear differential equations with almost sectorial operators

M.C. Ranjinia  and A. Angurajb,*

Nonlocal impulsive fractional semilinear differential equations with almost sectorial operators

Authors :

M.C. Ranjini^a and A. Anguraj^b,*

Author Address :

^a,bDepartment of Mathematics, P.S.G. College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India.

*Corresponding author.

Abstract :

This paper is concerned with the existence and uniqueness of mild solutions for a class of impulsive fractional semilinear differential equations with nonlocal condition in a Banach space by using the concepts of almost sectorial operators. The results are established by the application of the Banach fixed point theorem and Krasnoselskii’s fixed point theorem.

Keywords :

Fractional differential equations, impulses, nonlocal condition, almost sectorial operator, semigroup of growth $\gamma$, mild solution.

DOI :

Article Info :

Received : December 12, 2012; Accepted : April 06, 2013.