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Fractional Evolution Integrodifferential Systems with Nonlocal Conditions in Banach Spaces

by V. Dhanapalan, M. Thamilselvan, M. Chandrasekaran
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 96 - Number 12
Year of Publication: 2014
Authors: V. Dhanapalan, M. Thamilselvan, M. Chandrasekaran
10.5120/16844-6700

V. Dhanapalan, M. Thamilselvan, M. Chandrasekaran . Fractional Evolution Integrodifferential Systems with Nonlocal Conditions in Banach Spaces. International Journal of Computer Applications. 96, 12 ( June 2014), 7-13. DOI=10.5120/16844-6700

@article{ 10.5120/16844-6700,
author = { V. Dhanapalan, M. Thamilselvan, M. Chandrasekaran },
title = { Fractional Evolution Integrodifferential Systems with Nonlocal Conditions in Banach Spaces },
journal = { International Journal of Computer Applications },
issue_date = { June 2014 },
volume = { 96 },
number = { 12 },
month = { June },
year = { 2014 },
issn = { 0975-8887 },
pages = { 7-13 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume96/number12/16844-6700/ },
doi = { 10.5120/16844-6700 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:21:33.000149+05:30
%A V. Dhanapalan
%A M. Thamilselvan
%A M. Chandrasekaran
%T Fractional Evolution Integrodifferential Systems with Nonlocal Conditions in Banach Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 96
%N 12
%P 7-13
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper is concerned with the proof for the existence and uniqueness of local mild and classical solutions of a class of nonlinear fractional evolution integrodifferential systems with nonlocal conditions in Banach spaces based on the theory of resolvent operators, the fractional powers of operators, fixed point technique and the Gelfand-Shilov principle.

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Index Terms

Computer Science
Information Sciences

Keywords

Fractional parabolic equation fractional powers mild solution classical solution local existence resolvent operators

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