The direct spectral problem via local derivative including truncated Mittag-Leffler function

DOI10.1016/j.amc.2019.124787zbMath1433.34008OpenAlexW2981161662MaRDI QIDQ2284816

Bahar Acay, Erdal Bas

Publication date: 15 January 2020

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

Full work available at URL: https://doi.org/10.1016/j.amc.2019.124787

zbMATH Keywords

Sturm-Liouville problemspectral data\(M\)-derivativetruncated Mittag-Leffler function

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Fractional ordinary differential equations (34A08)

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Cites Work

• Unnamed Item
• Asymptotic behavior of eigenvalues of hydrogen atom equation
• On conformable fractional calculus
• The fractional Sturm-Liouville problem -- numerical approximation and application in fractional diffusion
• An efficient method for solving fractional Sturm-Liouville problems
• Fractional singular Sturm-Liouville operator for Coulomb potential
• Fundamental results of conformable Sturm-Liouville eigenvalue problems
• Comparative simulations for solutions of fractional Sturm-Liouville problems with non-singular operators
• A new definition of fractional derivative
• Conformable fractional Dirac system on time scales
• Fractional models with singular and non-singular kernels for energy efficient buildings
• Sturm-Liouville problem via coulomb type in difference equations
• Fractional Sturm–Liouville problems for Weber fractional derivatives
• A New Approach to Generalized Fractional Derivatives
• On finite fractional Sturm–Liouville transforms

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