Fractional-order Legendre-Laguerre functions and their applications in fractional partial differential equations
From MaRDI portal
Publication:2335624
DOI10.1016/j.amc.2018.05.017zbMath1427.35314OpenAlexW2804199579WikidataQ129766625 ScholiaQ129766625MaRDI QIDQ2335624
Mohsen Razzaghi, Haniye Dehestani, Yadollah Ordokhani
Publication date: 14 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.05.017
operational matrix of integrationfractional partial differential equationfractional-order Legendre-Laguerre functionspseudo-operational matrix of integration
Related Items (38)
A modified numerical algorithm based on fractional Euler functions for solving time-fractional partial differential equations ⋮ The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications ⋮ Application of fractional Gegenbauer functions in variable-order fractional delay-type equations with non-singular kernel derivatives ⋮ Jacobi-type functions defined by fractional Bessel derivatives ⋮ The novel operational matrices based on 2D-Genocchi polynomials: solving a general class of variable-order fractional partial integro-differential equations ⋮ Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives ⋮ Numerical solution of fractional partial differential equations by using radial basis functions combined with Legendre wavelets ⋮ Numerical technique for solving fractional generalized pantograph-delay differential equations by using fractional-order hybrid Bessel functions ⋮ Fractional-order Genocchi-Petrov-Galerkin method for solving time-space fractional Fokker-Planck equations arising from the physical phenomenon ⋮ Composition of Euler Scaling Functions with the Optimization Method for Fractional Hyperbolic and Reaction-Diffusion Equations with Nonlocal Boundary Conditions ⋮ An efficient approach based on Legendre-Gauss-Lobatto quadrature and discrete shifted Hahn polynomials for solving Caputo-Fabrizio fractional Volterra partial integro-differential equations ⋮ Time-space fractional model for complex cylindrical ion-acoustic waves in ultrarelativistic plasmas ⋮ Numerical solution of a class of time-fractional order diffusion equations in a new reproducing kernel space ⋮ A collocation method using generalized Laguerre polynomials for solving nonlinear optimal control problems governed by integro-differential equations ⋮ A numerical study on fractional optimal control problems described by Caputo‐Fabrizio fractional integro‐differential equation ⋮ Solving fractional time-delay diffusion equation with variable-order derivative based on shifted Legendre-Laguerre operational matrices ⋮ An adaptive approach for solving fourth-order partial differential equations: algorithm and applications to engineering models ⋮ An improved numerical technique for distributed‐order time‐fractional diffusion equations ⋮ An efficient numerical method based on Fibonacci polynomials to solve fractional differential equations ⋮ A numerical method for fractional Sturm-Liouville problems involving the Cauchy-Euler operators ⋮ Numerical solutions of Hadamard fractional differential equations by generalized Legendre functions ⋮ Combination of Lucas wavelets with Legendre-Gauss quadrature for fractional Fredholm-Volterra integro-differential equations ⋮ Pell-Lucas discretization method for finding the solution of Caputo-Fabrizio time-fractional diffusion equations ⋮ Application of Pell collocation method for solving the general form of time-fractional Burgers equations ⋮ A Fourier spectral method for the nonlinear coupled space fractional Klein‐Gordon‐Schrödinger equations ⋮ An accurate numerical algorithm to investigate the solution of fractal-fractional partial differential equations ⋮ Modified wavelet method for solving multitype variable-order fractional partial differential equations generated from the modeling of phenomena ⋮ Numerical solution of the nonlinear conformable space-time fractional partial differential equations ⋮ Fractional-order Bessel functions with various applications. ⋮ Bifurcation of a fractional-order delayed malware propagation model in social networks ⋮ Two-dimensional Müntz-Legendre hybrid functions: theory and applications for solving fractional-order partial differential equations ⋮ A SPECTRAL APPROACH FOR TIME-FRACTIONAL DIFFUSION AND SUBDIFFUSION EQUATIONS IN A LARGE INTERVAL ⋮ A numerical technique for solving various kinds of fractional partial differential equations via Genocchi hybrid functions ⋮ NUMERICAL SOLUTION OF VARIABLE-ORDER TIME FRACTIONAL WEAKLY SINGULAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ERROR ESTIMATION ⋮ Considerations regarding the accuracy of fractional numerical computations ⋮ OPTIMAL CONTROL OF NONLINEAR TIME-DELAY FRACTIONAL DIFFERENTIAL EQUATIONS WITH DICKSON POLYNOMIALS ⋮ Spectral solutions for a class of nonlinear wave equations with Riesz fractional based on Legendre collocation technique ⋮ Fractional-order Bessel wavelet functions for solving variable order fractional optimal control problems with estimation error
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet
- Numerical solution of fractional partial differential equations by numerical Laplace inversion technique
- A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
- An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations
- The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
- The non-standard finite difference scheme for linear fractional PDEs in fluid mechanics
- A class of fractional evolution equations and optimal controls
- A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
- The Legendre wavelet method for solving fractional differential equations
- RBFs approximation method for time fractional partial differential equations
- Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
- Application of Legendre wavelets for solving fractional differential equations
- A tau approach for solution of the space fractional diffusion equation
- Application of the operational matrix of fractional-order Legendre functions for solving the time-fractional convection-diffusion equation
- The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications
- The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
- Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- The fundamental solutions for the fractional diffusion-wave equation
- Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations
- Haar wavelet Picard method for fractional nonlinear partial differential equations
- Fractional-order Legendre functions for solving fractional-order differential equations
- Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
- Fractional-order Bernoulli wavelets and their applications
- New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions
- Solving a multi-order fractional differential equation using Adomian decomposition
- Fractional spectral and pseudo-spectral methods in unbounded domains: theory and applications
- A generalized differential transform method for linear partial differential equations of fractional order
- Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions
- Solving systems of fractional differential equations using differential transform method
- Wavelets method for the time fractional diffusion-wave equation
- The use of He's variational iteration method for solving the telegraph and fractional telegraph equations
- Solution of nonlinear weakly singular Volterra integral equations using the fractional-order Legendre functions and pseudospectral method
This page was built for publication: Fractional-order Legendre-Laguerre functions and their applications in fractional partial differential equations