Mild solutions for class of neutral fractional functional differential equations with not instantaneous impulses

Ganga Ram Gautam and Jaydev Dabas

Applied Mathematics and Computation, 2015, vol. 259, issue C, 480-489

Abstract: This article contains the existence results of the mild solutions of an abstract semilinear neutral fractional differential equations with not instantaneous impulses. The results are proved by using the theory of analytic α-resolvent family and fixed point theorems. One application involving partial differential equations with impulses are presented.

Keywords: Fractional order differential equation; Fixed point theorems; Initial conditions; Impulse (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:480-489

DOI: 10.1016/j.amc.2015.02.069

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