Stability analysis of a class of Langevin equations in the frame of generalized Caputo fractional operator with nonlocal boundary conditions

Stability analysis of a class of Langevin equations in the frame of generalized Caputo fractional operator with nonlocal boundary conditions

Abstract The main objective of the present paper is to establish the existence and uniqueness of solutions for the fractional Langevin equation involving the ϕ-Caputo fractional operator with nonlocal boundary conditions. The Langevin differential equation can accurately depict many physical phenome...

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Bibliographic Details
Main Authors: Sombir Dhaniya, Anoop Kumar, Aziz Khan, Thabet Abdeljawad
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Boundary Value Problems
Subjects:
The ϕ-Caputo operator
Langevin equation
Fixed point theorem
Existence and uniqueness
Ulam-Hyers stability
Online Access:https://doi.org/10.1186/s13661-025-02024-8
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