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Existence Results for Fractional Order Mixed Type Functional Integro-differential Equations with Impulses

by R. Murugesu, S. Dhanalakshmi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 73 - Number 17
Year of Publication: 2013
Authors: R. Murugesu, S. Dhanalakshmi
10.5120/12831-9985

R. Murugesu, S. Dhanalakshmi . Existence Results for Fractional Order Mixed Type Functional Integro-differential Equations with Impulses. International Journal of Computer Applications. 73, 17 ( July 2013), 5-10. DOI=10.5120/12831-9985

@article{ 10.5120/12831-9985,
author = { R. Murugesu, S. Dhanalakshmi },
title = { Existence Results for Fractional Order Mixed Type Functional Integro-differential Equations with Impulses },
journal = { International Journal of Computer Applications },
issue_date = { July 2013 },
volume = { 73 },
number = { 17 },
month = { July },
year = { 2013 },
issn = { 0975-8887 },
pages = { 5-10 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume73/number17/12831-9985/ },
doi = { 10.5120/12831-9985 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:40:20.442922+05:30
%A R. Murugesu
%A S. Dhanalakshmi
%T Existence Results for Fractional Order Mixed Type Functional Integro-differential Equations with Impulses
%J International Journal of Computer Applications
%@ 0975-8887
%V 73
%N 17
%P 5-10
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we prove the existence of mild solutions for the semilinear fractional order functional of Volterra-Fredholm type differential equations with impulses in a Banach space. The results are obtained by using the theory of fractional calculus, the analytic semigroup theory of linear operators and the fixed point techniques.

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Index Terms

Computer Science
Information Sciences

Keywords

Impulsive conditions Fractional differential equations Fixed point theorems

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