On finite fractional Sturm–Liouville transforms

DOI10.1080/10652469.2014.966102zbMath1320.26005OpenAlexW2032067714MaRDI QIDQ5498526

Alireza Ansari

Publication date: 9 February 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2014.966102

zbMATH Keywords

Sturm-Liouville problemfractional derivativepartial fractional differential equationfinite transform

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Fractional derivatives and integrals (26A33)

Related Items

Fractional Sturm–Liouville problems for Weber fractional derivatives ⋮ Variational methods for fractional \(q\)-Sturm-Liouville problems ⋮ On fractional \(q\)-Sturm-Liouville problems ⋮ Comparative analysis for fractional Laplace and Helmholtz equations on sphere with mixed boundary conditions ⋮ Fractional singular Sturm-Liouville problems on the half-line ⋮ Green's function of two-dimensional time-fractional diffusion equation using addition formula of Wright function ⋮ Spectral data of conformable Sturm-Liouville direct problems ⋮ Eigenvalues of fractional Sturm-Liouville problems by successive method ⋮ On Hyers-Ulam stability of fractional differential equations with Prabhakar derivatives ⋮ Finite fractional Sturm-Liouville transforms for generalized fractional derivatives ⋮ The direct spectral problem via local derivative including truncated Mittag-Leffler function ⋮ Lyapunov-type inequality for nonlinear systems with Riemann-Liouville fractional derivatives ⋮ Numerical approximation to Prabhakar fractional Sturm-Liouville problem

Cites Work

• Unnamed Item
• Fractional Sturm-Liouville problem
• Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
• Exponentially accurate spectral and spectral element methods for fractional ODEs
• Fundamental spectral theory of fractional singular Sturm-Liouville operator
• From Sturm-Liouville problems to fractional and anomalous diffusions
• An efficient method for solving fractional Sturm-Liouville problems
• Generalized wave equation in nonlocal elasticity
• A note on fractional Bessel equation and its asymptotics
• Inverse problem for fractional diffusion equation
• Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations
• On the numerical solution of fractional Sturm–Liouville problems
• Eigenvalue problems of the model from nonlocal continuum mechanics
• Fractional Spectral Collocation Method
• LEGENDRE TRANSFORMS