Numerical solution of fractional pantograph equations via Müntz-Legendre polynomials

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Functional-differential equations with fractional derivatives (34K37) Numerical methods for functional-differential equations (65L03)

Cites Work

Unnamed Item
Unnamed Item
A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
An efficient algorithm for solving generalized pantograph equations with linear functional argument
Periodic boundary value problems for neutral multi-pantograph equations
Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
A new computational approach for the solutions of generalized pantograph-delay differential equations
Stability of numerical methods for delay differential equations
Müntz-Legendre polynomial solutions of linear delay Fredholm integro-differential equations and residual correction
A numerical technique for solving functional integro-differential equations having variable bounds
Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations
Runge-Kutta methods for the multi-pantograph delay equation
Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials
Numerical solution of systems of fractional delay differential equations using a new kind of wavelet basis
A numerical approach for solving a class of variable-order fractional functional integral equations
Long time numerical behaviors of fractional pantograph equations
Numerical study of the unsteady 2D coupled magneto-hydrodynamic equations on regular/irregular pipe using direct meshless local Petrov-Galerkin method
A collocation method to solve the parabolic-type partial integro-differential equations via Pell-Lucas polynomials
Spectral Galerkin schemes for a class of multi-order fractional pantograph equations
Numerical solution of two and three dimensional time fractional damped nonlinear Klein-Gordon equation using ADI spectral element method
Approximate solution of stochastic Volterra integro-differential equations by using moving least squares scheme and spectral collocation method
Numerical approximations for Volterra's population growth model with fractional order via a multi-domain pseudospectral method
Solving Fredholm integral equations of the first kind using Müntz wavelets
An inventive numerical method for solving the most general form of integro-differential equations with functional delays and characteristic behavior of orthoexponential residual function
Modified numerical approaches for a class of Volterra integral equations with proportional delays
Existence of solutions of nonlinear fractional pantograph equations
A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations
A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term
Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
Muntz Systems and Orthogonal Muntz-Legendre Polynomials
Spectral Methods
Numerical solution of linear Fredholm integral equations using sine–cosine wavelets
Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz–Legendre wavelets approach