Existence of solutions for fractional Langevin equation involving generalized Caputo derivative with periodic boundary conditions

In this article, we investigate the existence and uniqueness(EU) of solutions for non-linear Langevin fractional differ- ential equation (FDEs) in term of generalized Caputo fractional derivative(GCFD) of two distinct orders with periodic boundary conditions involving generalized fractional differen...

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Bibliographic Details
Main Authors: Devi, Amita, Kumar, Anoop
Format: Conference Proceeding
Language:English
Subjects:
Boundary conditions
Differential equations
Existence theorems
Fixed points (mathematics)
Mapping
Operators (mathematics)
Uniqueness theorems
Online Access:Get full text
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Summary:In this article, we investigate the existence and uniqueness(EU) of solutions for non-linear Langevin fractional differ- ential equation (FDEs) in term of generalized Caputo fractional derivative(GCFD) of two distinct orders with periodic boundary conditions involving generalized fractional differential operator. The existence result is derived by applying Krasnoselskii’s fixed point theorem and the uniqueness of solution is determined by using Banach contraction mapping principle. An example is offered to ensure the validity of our obtained results.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0003365