Existence of solutions for fractional impulsive neutral functional differential equations with infinite delay

Authors:
Jiawu Liao;Fulai Chen;Sanqing Hu
Affiliations:
-;-;-
Venue:
Neurocomputing
Year:
2013

Citing 4
Cited 0

Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)

Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
Attractivity of fractional functional differential equations

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Coincidence degree and fractional boundary value problems with impulses

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On recent developments in the theory of boundary value problems for impulsive fractional differential equations

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Abstract

In this paper, we first introduce a class of impulsive neutral fractional functional differential equations which arise from many practical applications such as in viscoelasticity and electrochemistry. After providing a natural formula of solutions for the equations, we then give an existence theorem of the solutions by using the Hausdorff's measure of noncompactness and the theory of Monch. As a result, the existence theory provides a theoretical basis for exploring the solutions of such kinds of differential equations.