Browsing by Subject "Operational matrix"

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Derivation of operational matrix of Rabotnov fractional-exponential kernel and its application to fractional Lienard equation

Kumar, S.; Gómez-Aguilar, J.F.; Lavín-Delgado, J.E.; Baleanu, D. (Elsevier B.V., 2020-10)

Our motive in this contribution is to find out the operational matrix of fractional derivative having non singular kernel namely Rabotnov fractional-exponential (RFE) kernel which is recently introduced and seeking numerical ...
Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction–diffusion and Galilei invariant advection–diffusion equations

Kumar, S.; Pandey, P.; Das, S. (Springer Science and Business Media, LLC, 2020-12-01)

In this article, a variable-order operational matrix of Gegenbauer wavelet method based on Gegenbauer wavelet is applied to solve a space–time fractional variable-order non-linear reaction–diffusion equation and non-linear ...
A new numerical algorithm for fractional model of Bloch equation in nuclear magnetic resonance

Singh, Harendra (Elsevier B.V., 2016-07-18)

This paper presents a new algorithm based on operational matrix of fractional integrations for fractional Bloch equation in Nuclear Magnetic Resonance (NMR). For construction of operational matrix Legendre scaling functions ...

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