Nonlocal impulsive fractional semilinear differential equations with almost sectorial operators

M.C. Ranjini; A. Anguraj

doi:10.26637/mjm102/006

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, mild solution

Mathematics Subject Classification:

34A37, 34K37, 47A60

Authors Imprint References Funding Related Articles Downloads

M.C. Ranjini Department of Mathematics, P.S.G. College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India.
A. Anguraj Department of Mathematics, P.S.G. College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India.

Pages: 43-53
Date Published: 01-04-2013
Vol. 1 No. 02 (2013): Malaya Journal of Matematik (MJM)

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