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PC-Almost Automorphic Solution of Impulsive Fractional Differential Equations

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Abstract

In this paper, we introduce a PC-almost automorphic function and establish the composition theorem, which is an important result from application point of view. As an application, we study the existence of almost automorphic solution to impulsive fractional functional differential equations with the assumption that the forcing term is almost automorphic. The results are established by fixed point methods and α-resolvent family of bounded linear operators. At the end, some examples are given to illustrate our analytic findings.

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  1. School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, 175001, H.P., India

    Lakshman Mahto & Syed Abbas

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  1. Lakshman Mahto
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  2. Syed Abbas
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Correspondence to Syed Abbas.

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Mahto, L., Abbas, S. PC-Almost Automorphic Solution of Impulsive Fractional Differential Equations. Mediterr. J. Math. 12, 771–790 (2015). https://doi.org/10.1007/s00009-014-0449-3

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  • DOI: https://doi.org/10.1007/s00009-014-0449-3

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