Existence of solutions for three-point boundary value problem for nonlinear fractional differential equations

Authors

  • S. Benaicha (LMFAO) University of Oran1 Ahmed Benbella, Algeria
  • N. Bouteraa (LMFAO) University of Oran1 Ahmed Benbella, Algeria

Keywords:

term1 (fractional differential equations, existence), term2 (nonlocal boundary, fixed-point theorem)

Abstract

This paper deals with the existence and uniqueness of solutions for nonlinear fractional differential equations supplemented with three-point boundary conditions. Our results are based on some well-known tools of fixed point theory such as the Banach contraction principle and the Leray-Schauder nonlinear alternative is illustrated with an example.

Author Biographies

S. Benaicha, (LMFAO) University of Oran1 Ahmed Benbella, Algeria

Laboratory of Fundamental and Applied Mathematics of Oran

N. Bouteraa, (LMFAO) University of Oran1 Ahmed Benbella, Algeria

Laboratory of Fundamental and Applied Mathematics of Oran

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Published

2018-01-09

Issue

Vol. 10(59) No. 2 (2017)

Section

MATHEMATICS