Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay |
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Authors: | Yong Ren Yan Qin R. Sakthivel |
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Affiliation: | 1. School of Mathematics, University of Tasmania, GPO Box 252C-37, Hobart, TAS, 7001, Australia 2. Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China 3. Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, South Korea
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Abstract: | This paper is concerned with existence results of mild solutions for fractional order semilinear integro-differential evolution equations (FSIDEEs) and semilinear neutral integro-differential evolution equations (FSNIDEEs in short) with infinite delay in α-norm. Our tools include the Banach contraction principle, the nonlinear alternative of Leray–Schauder type and the Krasnoselskii–Schaefer type fixed point theorem. |
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