Analytic and numerical solutions of discrete Bagley–Torvik equation

Abstract In this research article, a discrete version of the fractional Bagley–Torvik equation is proposed: 1 ∇ h 2 u ( t ) + A C ∇ h ν u ( t ) + B u ( t ) = f ( t ) , t > 0 , $$ \nabla _{h}^{2} u(t)+A{}^{C} \nabla _{h}^{\nu }u(t)+Bu(t)=f(t),\quad t>0, $$ where 0 < ν < 1 $0<\nu <1$ or 1 < ν < 2 $1<\...

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Bibliografiske detaljer

Principais autores:	Murugesan Meganathan, Thabet Abdeljawad, M. Motawi Khashan, Gnanaprakasam Britto Antony Xavier, Fahd Jarad
Format:	Artigo
Sprog:	Inglês
Udgivet:	SpringerOpen 2021-04-01
Serier:	Advances in Difference Equations
Fag:	Fractional calculus Difference operator Laplace transform Bagley–Torvik equation Caputo derivative
Online adgang:	https://doi.org/10.1186/s13662-021-03371-3
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