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- Title
NONLINEAR BOUNDARY VALUE PROBLEM FOR IMPLICIT DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER IN BANACH SPACES.
- Authors
BENCHOHRA, MOUFFAK; BOURIAH, SOUFYANE; DARWISH, MOHAMED ABDALLA
- Abstract
In this paper, we establish sufficient conditions for the existence of solutions for a class of boundary value problem for implicit fractional differential equations with Caputo fractional derivative. We apply the technique of measure of noncompactness and the fixed point theorems of Darbo and Mönch. As an application, two examples are included to show the applicability of our results.
- Subjects
BOUNDARY value problems; BANACH spaces; NONLINEAR theories; DIFFERENTIAL equations; EXISTENCE theorems
- Publication
Fixed Point Theory, 2017, Vol 18, Issue 2, p457
- ISSN
1583-5022
- Publication type
Article
- DOI
10.24193/fpt-ro.2017.2.36