Existence results for Langevin equations involving generalized Liouville–Caputo fractional derivatives with non-local boundary conditions

Existence results for Langevin equations involving generalized Liouville–Caputo fractional derivatives with non-local boundary conditions

The main objective of the present paper is to establish the existence and uniqueness (EU) results for nonlinear fractional Langevin equation involving Liouville-Caputo generalized fractional derivative (GFD) of different order with non-local boundary conditions. The existence solution is obtained by...

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Bibliographic Details
Main Authors: Sombir Dhaniya, Anoop Kumar, Aziz Khan, Thabet Abdeljawad
Format: Article
Language:English
Published: Elsevier 2024-03-01
Series:Alexandria Engineering Journal
Subjects:
Liouville–Caputo generalized fractional derivative (GFD)
Langevin equation (LE)
Krasonoselskii's fixed point theorem
Banach contraction mapping principle
Non-local boundary conditions
Generalized fractional operator
Online Access:http://www.sciencedirect.com/science/article/pii/S111001682400036X

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http://www.sciencedirect.com/science/article/pii/S111001682400036X

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