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Impulsive Problems for Fractional Partial Neutral Functional Integro-Differential Inclusions with Infinite Delay and Analytic Resolvent Operators

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Abstract

In this paper, the existence of mild solutions for a class of impulsive fractional partial neutral functional integro-differential inclusions with infinite delay and analytic α-resolvent operators in Banach spaces is investigated. Sufficient conditions for the existence are derived with the help of the fixed-point theorem for discontinuous multi-valued operators due to Dhage and the fractional power of operators combined with approximation techniques. An example is provided to illustrate the theory.

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  1. Department of Mathematics, Hexi University, Zhangye, Gansu, 734000, People’s Republic of China

    Zuomao Yan & Xiumei Jia

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  1. Zuomao Yan
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  2. Xiumei Jia
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Yan, Z., Jia, X. Impulsive Problems for Fractional Partial Neutral Functional Integro-Differential Inclusions with Infinite Delay and Analytic Resolvent Operators. Mediterr. J. Math. 11, 393–428 (2014). https://doi.org/10.1007/s00009-013-0349-y

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  • DOI: https://doi.org/10.1007/s00009-013-0349-y

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