Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay

By Yong Ren, Yan Qin, Rathinasamy Sakthivel. 2010

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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.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/40fee8af471cdefaf6ecb0b23d09cfa427160b95