A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative

DOI10.1016/j.aml.2023.108636zbMath1527.65056OpenAlexW4323275389MaRDI QIDQ6167222

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Publication date: 7 July 2023

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

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108636

zbMATH Keywords

collocation techniquesMittag-Leffler kernelCaputo fractional problemsSobolev kernel

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Fractional ordinary differential equations (34A08)

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Cites Work

• A new reproducing kernel collocation method for nonlocal fractional boundary value problems with non-smooth solutions
• The Mittag Leffler reproducing kernel Hilbert spaces of entire and analytic functions
• Error estimation for the reproducing kernel method to solve linear boundary value problems
• A kernel regression approach for identification of first order differential equations based on functional data
• Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: theorems and applications
• A novel kernel functions algorithm for solving impulsive boundary value problems
• A mesh-free pseudospectral approach to estimating the fractional Laplacian via radial basis functions
• A novel approach for solving linear and nonlinear time-fractional Schrödinger equations
• Approximating the Caputo Fractional Derivative through the Mittag-Leffler Reproducing Kernel Hilbert Space and the Kernelized Adams--Bashforth--Moulton Method
• Theory of Reproducing Kernels
• A meshless method for solving two-dimensional distributed-order time-fractional cable equation

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