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

journal contribution
posted on 2023-05-17, 02:35 authored by Ren, Yong, Qin, Y, Sakthivel, R
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 á-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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  1. 1.
    DOI - Is supplement to Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay

Publication title

Integral Equations and Operator Theory

Volume

67

Pagination

33-49

ISSN

0378-620X

Department/School

School of Natural Sciences

Publisher

Birkhauser Verlag Ag

Place of publication

Viadukstrasse 40-44, Po Box 133, Basel, Switzerland, Ch-4010

Rights statement

The original publication is available at http://www.springerlink.com

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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  • Restricted

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    University Of Tasmania

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    Keywords

    Fractional order differential equation - fractional derivative - fractional integral - fixed point theorem - mild solution

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    In Copyright

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