On the new properties of Caputo-Fabrizio operator and its application in deriving shifted Legendre operational matrix

DOI10.1016/j.apnum.2018.05.016OpenAlexW2807136172WikidataQ129734087 ScholiaQ129734087MaRDI QIDQ1651428

Abdulnasir Isah, Yoke Teng Toh, Chang Phang, Jian Rong Loh

Publication date: 12 July 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.05.016

zbMATH Keywords

fractional differential equationsCaputo fractional derivativeCaputo-Fabrizio operatorshifted Legendre operational matrix

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Related Items (10)

Operational matrix for Atangana-Baleanu derivative based on Genocchi polynomials for solving FDEs ⋮ Semianalytical solutions of some nonlinear-time fractional models using variational iteration Laplace transform method ⋮ Two new approximations to Caputo–Fabrizio fractional equation on non-uniform meshes and its applications ⋮ An analytical approach for the fractional-order Hepatitis B model using new operator ⋮ New predictor‐corrector scheme for solving nonlinear differential equations with Caputo‐Fabrizio operator ⋮ A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives ⋮ Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations ⋮ On group analysis of the time fractional extended \((2+1)\)-dimensional Zakharov-Kuznetsov equation in quantum magneto-plasmas ⋮ A second-order accurate scheme for two-dimensional space fractional diffusion equations with time Caputo-Fabrizio fractional derivative ⋮ Separation and stability of solutions to nonlinear systems involving Caputo-Fabrizio derivatives

Cites Work

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• Modeling electro-magneto-hydrodynamic thermo-fluidic transport of biofluids with new trend of fractional derivative without singular kernel
• On the new fractional derivative and application to nonlinear Baggs and Freedman model
• The Legendre wavelets operational matrix of integration

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