On existence of solutions for fractional differential equations with nonlocal multi-point boundary conditions

This paper investigates the existence of solutions for a boundary value problem of nonlinear fractional differential equations with nonlocal boundary conditions. We use Banach fixed point theorem to prove an existence and uniqueness result. Then, by using O’Regan fixed point theorem, we prove an exi...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2016-03, Vol.37 (2), p.120-127
Main Authors: Houas, M., Dahmani, Z.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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Summary:This paper investigates the existence of solutions for a boundary value problem of nonlinear fractional differential equations with nonlocal boundary conditions. We use Banach fixed point theorem to prove an existence and uniqueness result. Then, by using O’Regan fixed point theorem, we prove an existence result. Finally, illustrative examples of our main results are presented.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080216020050