Affiliation:
1. Laboratory of Applied Mathematics and Scientific Competing, Faculty of Sciences and Technics, Sultan Moulay Slimane University, Beni Mellal, Morocco.
Abstract
This paper deals with the existence and uniqueness of solution for a coupled
system of Hilfer fractional Langevin equation with non local integral
boundary value conditions. The novelty of this work is that it is more
general than the works based on the derivative of Caputo and
Riemann-Liouville, because when ? = 0 we find the Riemann-Liouville
fractional derivative and when ? = 1 we find the Caputo fractional
derivative. Initially, we give some definitions and notions that will be
used throughout the work, after that we will establish the existence and
uniqueness results by employing the fixed point theorems. Finaly, we
investigate different kinds of stability such as Ulam-Hyers stability,
generalized Ulam-Hyers stability.
Publisher
National Library of Serbia
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