Müntz Sturm-Liouville problems: theory and numerical experiments
DOI10.1515/fca-2021-0034zbMath1498.34033arXiv1908.00062OpenAlexW3196235083MaRDI QIDQ2046090
M. R. Eslahchi, Hassan Khosravian-Arab
Publication date: 17 August 2021
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.00062
error boundsspectral propertiesself-adjoint operatorfractional differential equationsorthogonal projectionsfractional Sturm-Liouville problemsErdélyi-Kober fractional derivativesMüntz functionsMüntz quadrature rules
Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
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Cites Work
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- Fractional Sturm-Liouville problem
- Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
- Fractional spectral collocation methods for linear and nonlinear variable order FPDEs
- A nonpolynomial collocation method for fractional terminal value problems
- A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
- Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
- Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications
- Generalized Taylor's formula
- Fractional-order Legendre functions for solving fractional-order differential equations
- Müntz pseudo-spectral method: theory and numerical experiments
- A Müntz-collocation spectral method for weakly singular Volterra integral equations
- The probabilistic point of view on the generalized fractional partial differential equations
- Nonpolynomial collocation approximation of solutions to fractional differential equations
- Generalized Jacobi functions and their applications to fractional differential equations
- A fractional-order Jacobi Tau method for a class of time-fractional PDEs with variable coefficients
- Spectral Methods
- Müntz--Galerkin Methods and Applications to Mixed Dirichlet--Neumann Boundary Value Problems
- Muntz type Theorems I
- On a class of differential equations with left and right fractional derivatives
- Erdélyi–Kober Fractional Calculus
- A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative
- Basic Theory
- Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation
- Tempered Fractional Sturm--Liouville EigenProblems
- A Petrov--Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line
- Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations
- Fractional Spectral Collocation Method
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