Existence, uniqueness, Ulam-Hyers stability and numerical simulation of solutions for variable order fractional differential equations in fluid mechanics

DOI10.1007/s12190-021-01537-6OpenAlexW3150161930WikidataQ115377175 ScholiaQ115377175MaRDI QIDQ2143809

M. H. Derakhshan

Publication date: 31 May 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-021-01537-6

zbMATH Keywords

fractional differential equationsCaputo derivativeoperational matrixshifted Legendre polynomialsvariable order

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Fractional ordinary differential equations (34A08)

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