Controllability and Ulam–Hyers stability of fractional order linear systems with variable coefficients

In this paper we study the Controllability and the generalized Ulam-Hyers stability of Riemann-Liouville fractional order linear differential equations with variable coefficients in Banach spaces. We obtained the desired results by means of fixed point principle and fractional calculus. Furthermore,...

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Bibliographic Details
Main Authors: Amjad Ali, Shah Khalid, Gul Rahmat, Kamran, Gohar Ali, Kottakkaran Sooppy Nisar, Badriah Alshahrani
Format: Artigo
Language:Inglês
Published: Elsevier 2022-08-01
Series:Alexandria Engineering Journal
Subjects:
Riemann–Liouville integral
Caputo derivative
Impulse
Ulam–Hyers stability
Banach contraction
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016821007638
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