Hybrid Legendre functions to solve differential equations with fractional derivatives

DOI10.1007/S40096-018-0251-7zbMath1417.34020OpenAlexW2799823613WikidataQ129972032 ScholiaQ129972032MaRDI QIDQ1991993

Yanyan Li

Publication date: 2 November 2018

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-018-0251-7

zbMATH Keywords

fractional differential equationsfixed-point theoremLegendre polynomialsoperational matrixblock-pulse function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by other special function classes (41A30) Fractional ordinary differential equations (34A08)

Related Items (5)

Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space ⋮ Operational matrices based on hybrid functions for solving general nonlinear two-dimensional fractional integro-differential equations ⋮ A numerical approach for a nonhomogeneous differential equation with variable delays ⋮ Laguerre approach for solving system of linear Fredholm integro-differential equations ⋮ A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation

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