On multidimensional fractional Langevin equations in terms of Caputo derivatives

Amele TA¨IEB; Sara BOUMESSAOUD

doi:10.26637/MJM0804/0012

Abstract

In this paper, we consider a more general and multidimensional fractional Langevin equations with nonlinear terms that involve some unknown functions and their Caputo derivatives. Using some fixed point theorems, we obtain new results on the existence and uniqueness of solutions in addition to the existence of at least one solution. We also define and prove the generalized Ulam-Heyers stability of solutions for the considered equations. Some examples are provided to illustrate the applications of our results.

Keywords:

Caputo derivative, fixed point, fractional Langevin equation, existence and uniqueness, Ulam-Hyers stability.

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Amele TA¨IEB LPAM, Faculty SEI, Mechanical Engineering Department, Faculty ST, UMAB Mostaganem, Algeria.
Sara BOUMESSAOUD LPAM, Faculty SEI, UMAB Mostaganem, Algeria.

Pages: 1404-1412
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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