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EXISTENCE OF SOLUTIONS OF ABSTRACT FRACTIONAL IMPULSIVE SEMILINEAR EVOLUTION EQUATIONS

Publication Type : Journal Article

Publisher : Electronic Journal of Qualitative Theory of Differential Equations

Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Year : 2010

Abstract : In this paper we prove the existence of solutions of fractional impulsive semilinear evolution equations in Banach spaces. A nonlocal Cauchy problem is discussed for the evolution equations. The results are obtained using fractionalcalculus and fixed point theorems. An example is provided to illustrate the theory.

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