Controllability of nonlinear Hilfer fractional Langevin dynamical system. Issue 2 (7th September 2022)

• Record Type: Journal Article
• Authors: Radhakrishnan, Bheeman; Sathya, Thangavel
• Is Part Of: Numerical methods for partial differential equations. Volume 39:Issue 2(2023)
• Page Start: 995
• Page End: 1007
• Publication Date: 2022-09-07
• Subjects: controllability -- fixed point theorem -- Hilfer fractional derivative -- Langevin equation; Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.22914
• Languages: English
• ISSNs: 0749-159X

Abstract

Abstract: The main objective of this article is to prove the controllability result of a nonlinear Hilfer fractional Langevin dynamical system in an abstract‐weighted space. This paper initiates with the persistence of the control formula for the Hilfer fractional Langevin dynamical system. Furthermore, As ensue is extended to the controllability result of Hilfer fractional Langevin dynamical system by the use of Krasnoselskii fixed point theorem. Ultimately, an example is furnished to demonstrate our outcomes.