A new operational matrix of fractional derivatives to solve systems of fractional differential equations via Legendre wavelets

DOI10.3390/MATH6110238zbMath1417.65146OpenAlexW2899766341MaRDI QIDQ1634697

Aydin Secer, Selvi Altun

Publication date: 18 December 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6110238

zbMATH Keywords

fractional derivativesoperational matrixLegendre waveletLiouville-Caputo derivative

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)

Related Items (4)

Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense ⋮ An efficient operation matrix method for solving fractal-fractional differential equations with generalized Caputo-type fractional-fractal derivative ⋮ Caputo fractional derivative operational matrices of Legendre and Chebyshev wavelets in fractional delay optimal control ⋮ Two reliable methods for the solution of fractional coupled Burgers' equation arising as a model of polydispersive sedimentation

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