Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities-Reference-Cited by-同舟云学术

Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities

Published:2011 Issue: Volume:2011 Page:1-11
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Kirane Mokhtar¹,Medveď Milan²,Tatar Nasser-eddine³

Affiliation:

1. Université de la Rochelle, Avenue Michel Crépeau, 17042 La Rochelle Cedex 1, France

2. Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Comenius University, Mlynska Doliná, 84248 Bratislava, Slovakia

3. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Abstract

A second-order semilinear Volterra integrodifferential equation involving fractional time derivatives is considered. We prove existence and uniqueness of mild solutions and classical solutions in appropriate spaces.

Funder

King Fahd University of Petroleum and Minerals

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/510314.pdf

Reference16 articles.

1. Remarks on the Existence Results for Second-Order Differential Inclusions with Nonlocal Conditions

2. Existence of mild solutions of second order initial value problems for delay integrodifferential inclusions with nonlocal conditions

3. Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space

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