## Communications in Mathematical Analysis

### Existence of Mild Solutions for Nonlocal Cauchy Problem for Fractional Neutral Integro-Differential Equation with Unbounded Delay

#### 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.

#### Article information

Source
Commun. Math. Anal., Volume 14, Number 1 (2013), 59-71.

Dates
First available in Project Euclid: 25 March 2013

https://projecteuclid.org/euclid.cma/1364216230

Mathematical Reviews number (MathSciNet)
MR3040881

Zentralblatt MATH identifier
1283.34071

#### Citation

dos Santos, J. P. C.; Vijayakumar, V.; Murugesu, R. Existence of Mild Solutions for Nonlocal Cauchy Problem for Fractional Neutral Integro-Differential Equation with Unbounded Delay. Commun. Math. Anal. 14 (2013), no. 1, 59--71. https://projecteuclid.org/euclid.cma/1364216230

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