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2013 Existence and Attractivity Results for Some Fractional Order Partial Integro-differential Equations with Delay
S. Abbas, M. Benchohra, T. Diagana
Afr. Diaspora J. Math. (N.S.) 15(2): 87-100 (2013).

Abstract

In this paper we study some existence, uniqueness, estimates and global asymptotic stability results for some functional integro-differential equations of fractional order with finite delay. To achieve our goals we make extensive use of some fixed point theorems as well as the so-called Pachpatte techniques.

Citation

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S. Abbas. M. Benchohra. T. Diagana. "Existence and Attractivity Results for Some Fractional Order Partial Integro-differential Equations with Delay." Afr. Diaspora J. Math. (N.S.) 15 (2) 87 - 100, 2013.

Information

Published: 2013
First available in Project Euclid: 5 January 2014

zbMATH: 1282.26006
MathSciNet: MR3161669

Subjects:
Primary: 26A33 , 45G05

Keywords: asymptotic stability , Caputo fractional-order derivative , contraction , estimation , finite delay , fixed point , Functional integro-differential equation , left-sided mixed Riemann-Liouville integral of fractional order , periodic function , solution

Rights: Copyright © 2013 Mathematical Research Publishers

Vol.15 • No. 2 • 2013
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