Existence and uniqueness for solution of differential equation with mixture of integer and fractional derivative. | [Proceedings of Pakistan Academy of Sciences • 2012]

Author(s):

1. Shayma Adil Murad: Department of Mathematics, Faculty of Science, Duhok University, Kurdistan, Iraq

2. Rabha W. Ibrahim: Institute of Mathematical Sciences, University Malaya, 50603, Malaysia

3. Samir B. Hadid: Department of Mathematics and Basic Sciences, College of Education and Basic Sciences, Ajman University of Science and Technology, UAE

Abstract:

By employing the Krasnosel’ski?ifixed point theorem, we establish the existence of solutions for mixed differential equation (ordinary and fractional). Moreover, we suggest the uniqueness of solution and we examine our abstract results by applications.

Page(s): 33-37

DOI: DOI not available

Published: Journal: Proceedings of Pakistan Academy of Sciences, Volume: 49, Issue: 1, Year: 2012

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