A fractional analysis in higher dimensions for the Sturm-Liouville problem

DOI10.1515/fca-2021-0026zbMath1498.34083OpenAlexW3161560961MaRDI QIDQ2046076

M. Manuela Rodrigues, Milton Ferreira, Nelson Vieira

Publication date: 17 August 2021

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

Full work available at URL: https://doi.org/10.1515/fca-2021-0026

zbMATH Keywords

fractional derivativeseigenvalue problemeigenfunctionsfractional Sturm-Liouville problemfractional variational calculusfractional Clifford analysis

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Fractional derivatives and integrals (26A33) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Fractional ordinary differential equations (34A08)

Related Items

Application of the fractional Sturm-Liouville theory to a fractional Sturm-Liouville telegraph equation

Cites Work

• Fractional Sturm-Liouville problem
• Fundamental solutions of the time fractional diffusion-wave and parabolic Dirac operators
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• A higher dimensional fractional Borel‐Pompeiu formula and a related hypercomplex fractional operator calculus
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