Original scientific paper

https://doi.org/10.3336/gm.51.2.09

Existence results for some partial integrodifferential equations with nonlocal conditions

Khalil Ezzinbi ; Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, BP 2390 Marrakech, Morocco
Saifeddine Ghnimi ; Department of Mathematics, Faculty of Sciences, University of Gafsa, B.P. 2112 Gafsa, Tunisia
Mohamed-Aziz Taoudi ; Cadi Ayyad University, National School of Applied Sciences, Marrakech, Morocco

Abstract

In this work, we study the existence of mild solutions for a class of partial integrodifferential equations with nonlocal conditions. Our analysis uses the resolvent operator theory and relies on a new fixed point theorem of Sadovskii-Krasnosel'skii type. Our results improve and complement several earlier related works. Some examples are provided to illustrate the theoretical results.

Keywords

Partial integrodifferential equation; nonlocal conditions; mild solution; fixed point theorem; resolvent operator; semigroup operator

Hrčak ID:

170045

URI

https://hrcak.srce.hr/170045

Publication date:

3.12.2016.

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