Analytic and Numerical Solutions of Discrete Bagley-Torvik Equation
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Date
2021
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Publisher
Springer
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GOLD
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No
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Abstract
In this research article, a discrete version of the fractional Bagley-Torvik equation is proposed: del(2)(h)u(t) + A(C)del(nu)(h) u(t) + Bu(t) = f (t), t > 0, (1) where 0 < nu < 1 or 1 < nu < 2, subject to u(0) = a and del(h)u(0) = b, with a and b being real numbers. The solutions are obtained by employing the nabla discrete Laplace transform. These solutions are expressed in terms of Mittag-Leffler functions with three parameters. These solutions are handled numerically for some examples with specific values of some parameters.
Description
M, Meganathan/0000-0002-8807-6450
ORCID
Keywords
Fractional Calculus, Difference Operator, Laplace Transform, Bagley-Torvik Equation, Caputo Derivative, Laplace transform, Fractional calculus, QA1-939, Difference operator, Bagley–Torvik equation, Caputo derivative, Mathematics, Bagley-Torvik equation, Fractional ordinary differential equations, fractional calculus, difference operator, Fractional derivatives and integrals, Difference operators
Fields of Science
0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
Meganathan, Murugesan...et al. (2021). "Analytic and numerical solutions of discrete Bagley-Torvik equation", Advances in Difference Equations, Vol. 2021, No. 1.
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Q1
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OpenCitations Citation Count
6
Source
Advances in Difference Equations
Volume
2021
Issue
1
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CrossRef : 3
Scopus : 8
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