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

Ren, Yong; Qin, Y; Sakthivel, R

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

History

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

Repository Status

Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

Usage metrics

Keywords

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

Licence

In Copyright

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

History

Publication title

Volume

Pagination

ISSN

Department/School

Publisher

Place of publication

Rights statement

Repository Status

Socio-economic Objectives

Usage metrics

Categories

Keywords

Licence

Exports