A novel numerical scheme for fractional differential equations using extreme learning machine

Related Items (1)

A neural networks-based numerical method for the generalized Caputo-type fractional differential equations

Cites Work

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A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations
Numerical solutions of fractional Riccati type differential equations by means of the Bernstein polynomials
Neural network algorithm based on Legendre improved extreme learning machine for solving elliptic partial differential equations
A new operational matrix for solving fractional-order differential equations
The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
On solutions of fractional Riccati differential equations
Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks
A novel improved extreme learning machine algorithm in solving ordinary differential equations by Legendre neural network methods
Reproducing kernel method for fractional Riccati differential equations
A predictor-corrector approach for the numerical solution of fractional differential equations
A non-gradient method for solving elliptic partial differential equations with deep neural networks
Solving partial differential equation based on extreme learning machine
Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems
Compatibility of the Paraskevopoulos's algorithm with operational matrices of Vieta-Lucas polynomials and applications
HomPINNs: Homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations
Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines
Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations
A novel Legendre operational matrix for distributed order fractional differential equations
Direct and integrated radial functions based quasilinearization schemes for nonlinear fractional differential equations
Legendre wavelet collocation method combined with the Gauss-Jacobi quadrature for solving fractional delay-type integro-differential equations
First order partial differential equations with time delay and retardation of a state variable
Using an enhanced homotopy perturbation method in fractional differential equations via deforming the linear part
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
An efficient operation matrix method for solving fractal-fractional differential equations with generalized Caputo-type fractional-fractal derivative
Two‐dimensional shifted Legendre polynomial collocation method for electromagnetic waves in dielectric media via almost operational matrices
A highly accurate numerical method for solving nonlinear time‐fractional differential difference equation
Efficient Legendre spectral tau algorithm for solving the two-sided space–time Caputo fractional advection–dispersion equation

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