Exact and numerical solutions of the fractional Sturm-Liouville problem

DOI10.1515/fca-2018-0004zbMath1409.34011OpenAlexW2797154165WikidataQ60309255 ScholiaQ60309255MaRDI QIDQ1647886

Tomasz Blaszczyk, Mariusz Ciesielski, Małgorzata Klimek

Publication date: 27 June 2018

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2018-0004

zbMATH Keywords

integral equationfractional calculusnumerical solutionfractional Sturm-Liouville problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Explicit solutions, first integrals of ordinary differential equations (34A05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Fractional ordinary differential equations (34A08)

Related Items (10)

Approximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memory ⋮ Variational approximation for fractional Sturm-Liouville problem ⋮ An exact solution of fractional Euler-Bernoulli equation for a beam with fixed-supported and fixed-free ends ⋮ A fractional analysis in higher dimensions for the Sturm-Liouville problem ⋮ Sharp asymptotics in a fractional Sturm-Liouville problem ⋮ Application of the fractional Sturm-Liouville theory to a fractional Sturm-Liouville telegraph equation ⋮ Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation ⋮ Numerical approximation to Prabhakar fractional Sturm-Liouville problem ⋮ Homogeneous Robin boundary conditions and discrete spectrum of fractional eigenvalue problem ⋮ On square integrable solutions of a fractional differential equation

Uses Software

• ma2dfc

Cites Work

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