Existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems

Existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems

We study the existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems. Our results are based on Schauder's fixed point theorem and the Banach contraction principle fixed point theorem. Examples are provided to...

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Bibliographic Details
Main Authors: Choukri Derbazi, Hadda Hammouche
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2021-10-01
Series:Mathematica Bohemica
Subjects:
fractional langevin equation
caputo fractional derivative
integrable solution
existence
uniqueness
initial value problem
fixed point theorem
Online Access:http://mb.math.cas.cz/full/146/3/mb146_3_9.pdf

Internet

http://mb.math.cas.cz/full/146/3/mb146_3_9.pdf

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