Theoretical and computational perspectives on the eigenvalues of fourth-order fractional Sturm–Liouville problem

DOI10.1080/00207160.2017.1322690zbMath1499.34201OpenAlexW2608186915MaRDI QIDQ5028603

Qasem M. Al-Mdallal, Moh'd Khier Al-Srihin, Mohammed Al-Refai, Muhammed I. Syam

Publication date: 10 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1322690

zbMATH Keywords

eigenvaluesfractional Sturm-Liouville problemsCaputo derivativefractional series solution

Mathematics Subject Classification ID

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

Related Items (9)

New Simpson type integral inequalities for \(s\)-convex functions and their applications ⋮ On strong singular fractional version of the Sturm-Liouville equation ⋮ Theory and numerical approaches of high order fractional Sturm–Liouville problems ⋮ Some fractional operators with the generalized Bessel-Maitland function ⋮ On fractional-Legendre spectral Galerkin method for fractional Sturm-Liouville problems ⋮ Dynamics and synchronization of conformable fractional-order hyperchaotic systems using the homotopy analysis method ⋮ Fractional operators with generalized Mittag-Leffler kernels and their iterated differintegrals ⋮ Eigenvalues of fractional Sturm-Liouville problems by successive method ⋮ Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A novel method for solving second order fractional eigenvalue problems
• Fractional Sturm-Liouville problem
• Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
• Exponentially accurate spectral and spectral element methods for fractional ODEs
• An efficient algorithm for solving higher-order fractional Sturm-Liouville eigenvalue problems
• Variational methods for the fractional Sturm-Liouville problem
• Computing eigenelements of Sturm-Liouville problems of fractional order via fractional differential transform method
• Tau-path following method for solving the Riccati equation with fractional order
• An efficient method for solving fractional Sturm-Liouville problems
• An efficient technique for finding the eigenvalues of fourth-order Sturm-Liouville problems
• A convergent algorithm for solving higher-order nonlinear fractional boundary value problems
• Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville differential equation
• The Chebyshev collocation-path following method for solving sixth-order Sturm-Liouville problems
• An efficient series solution for fractional differential equations
• Eigenvalue problems for fractional ordinary differential equations
• On the numerical solution of fractional Sturm–Liouville problems
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Fractional Spectral Collocation Method
• Mittag-Leffler Functions, Related Topics and Applications
• On the fractional derivatives at extrema points
• Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems

This page was built for publication: Theoretical and computational perspectives on the eigenvalues of fourth-order fractional Sturm–Liouville problem