Open Access
2013 Existence of Mild Solutions for Nonlocal Cauchy Problem for Fractional Neutral Integro-Differential Equation with Unbounded Delay
R. Murugesu, V. Vijayakumar, J. P. C. dos Santos
Commun. Math. Anal. 14(1): 59-71 (2013).

Abstract

In this article, we study the existence of mild solutions for the nonlocal Cauchy problem for a class of abstract fractional neutral integro-differential equations with infinite delay. The results are obtained by using the theory of resolvent operators. Finally, an application is given to illustrate the theory.

Citation

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R. Murugesu. V. Vijayakumar. J. P. C. dos Santos. "Existence of Mild Solutions for Nonlocal Cauchy Problem for Fractional Neutral Integro-Differential Equation with Unbounded Delay." Commun. Math. Anal. 14 (1) 59 - 71, 2013.

Information

Published: 2013
First available in Project Euclid: 25 March 2013

zbMATH: 1283.34071
MathSciNet: MR3040881

Subjects:
Primary: 34K30
Secondary: 35R10 , 47D06

Keywords: binary relation , cyclical mappings , fixed point , metric space , ordered set

Rights: Copyright © 2013 Mathematical Research Publishers

Vol.14 • No. 1 • 2013
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