Stability analysis of solutions and existence theory of fractional Lagevin equation

Amita Devi; Anoop Kumar; Thabet Abdeljawad; Aziz Khan

Alexandria Engineering Journal (Aug 2021)

Stability analysis of solutions and existence theory of fractional Lagevin equation

Amita Devi,
Anoop Kumar,
Thabet Abdeljawad,
Aziz Khan

Affiliations

Amita Devi: Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab, India
Anoop Kumar: Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab, India; Corresponding authors.
Thabet Abdeljawad: Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia; Department of Medical Research, China Medical University, Taichung 40402, Taiwan; Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan; Corresponding authors.
Aziz Khan: Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia

Journal volume & issue: Vol. 60, no. 4
pp. 3641 – 3647

Abstract

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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.

Published in Alexandria Engineering Journal

ISSN: 1110-0168 (Print); 2090-2670 (Online)
Publisher: Elsevier
Country of publisher: Egypt
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: http://www.journals.elsevier.com/alexandria-engineering-journal/

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