Work

Stability analysis of solutions and existence theory of fractional Lagevin equation

Year: 2021

Type: article

Abstract: The present article describes fractional Langevin equations (FDEs) invloving Caputo Hadamard-derivative of independent orders connected with non-local integral and non-periodic boundary conditions. The stability, existence, and uniqueness (EU) of solutions for the prescribed equations are defined. Our viewpoint is built on the specification of the Krasnoselskii fixed point theorem and the Banach contraction mapping principle. An application is offered to smooth the comprehension of the hypothetical outcomes.

Source: Alexandria Engineering Journal

DOI: 10.1016/j.aej.2021.02.011

Authors: Amita Devi, Anoop Kumar, Thabet Abdeljawad, Aziz Khan

Institutions: Central University of Punjab, Prince Sultan University, Asia University, China Medical University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $860

Funders: Council of Scientific and Industrial Research, India, Prince Sultan University