4.7 Article

Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition

Journal

Publisher

ELSEVIER
DOI: 10.1016/j.cnsns.2013.07.025

Keywords

Fractional differential equation; Solution operator; Mild solution; Impulsive condition

Funding

  1. Sponsored Research & Industrial Consultancy, Indian Institute of Technology Roorkee [IITR/SRIC/247/F.I.G (Scheme-A)]

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This paper is concerned with the local and global existence of mild solution for an impulsive fractional functional integro differential equations with nonlocal condition. We establish a general framework to find the mild solutions for impulsive fractional integro-differential equations, which will provide an effective way to deal with such problems. The results are obtained by using the fixed point technique and solution operator on a complex Banach space. (C) 2013 Elsevier B.V. All rights reserved.

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