On the formulation and numerical simulation of distributed-order fractional optimal control problems
In a fractional optimal control problem, the integer order derivative is replaced by a fractional
order derivative. The fractional derivative embeds implicitly the time delays in an optimal …
order derivative. The fractional derivative embeds implicitly the time delays in an optimal …
Spectral technique for solving variable‐order fractional Volterra integro‐differential equations
This article, presented a shifted Legendre Gauss‐Lobatto collocation (SL‐GL‐C) method
which is introduced for solving variable‐order fractional Volterra integro‐differential equation …
which is introduced for solving variable‐order fractional Volterra integro‐differential equation …
Modified Galerkin algorithm for solving multitype fractional differential equations
The primary point of this manuscript is to dissect and execute a new modified Galerkin
algorithm based on the shifted Jacobi polynomials for solving fractional differential …
algorithm based on the shifted Jacobi polynomials for solving fractional differential …
Fast and precise spectral method for solving pantograph type Volterra integro-differential equations
This paper focuses on studying a general form of pantograph type Volterra integro-
differential equations (PVIDEs). We apply a new collocation spectral approach, based on …
differential equations (PVIDEs). We apply a new collocation spectral approach, based on …
Shifted Jacobi–Gauss-collocation with convergence analysis for fractional integro-differential equations
A new shifted Jacobi–Gauss-collocation (SJ-GC) algorithm is presented for solving
numerically several classes of fractional integro-differential equations (FI-DEs), namely …
numerically several classes of fractional integro-differential equations (FI-DEs), namely …
[HTML][HTML] Barycentric interpolation collocation methods for solving linear and nonlinear high-dimensional Fredholm integral equations
H Liu, J Huang, Y Pan, J Zhang - Journal of Computational and Applied …, 2018 - Elsevier
In this article two barycentric interpolation collocation methods are proposed for solving
linear and nonlinear high-dimensional F redholm integral equations of the second kind. The …
linear and nonlinear high-dimensional F redholm integral equations of the second kind. The …
On spectral methods for solving variable-order fractional integro-differential equations
This paper applies the shifted Jacobi–Gauss collocation (SJ–GC) method for solving
variable-order fractional integro-differential equations (VO-FIDE) with initial conditions. The …
variable-order fractional integro-differential equations (VO-FIDE) with initial conditions. The …
Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations
This article addresses the solution of multi-dimensional integro-differential equations (IDEs)
by means of the spectral collocation method and taking the advantage of the properties of …
by means of the spectral collocation method and taking the advantage of the properties of …
Approximate solution of nonlinear Fredholm integral equations of the second kind using a class of Hermite interpolation polynomials
A particular case of the Hermite interpolation method, namely the two-point Taylor formula, is
utilized to construct a numerical technique for solving Fredholm integral equations (FIEs) of …
utilized to construct a numerical technique for solving Fredholm integral equations (FIEs) of …
Meshfree approach for solving multi-dimensional systems of Fredholm integral equations via barycentric Lagrange interpolation
H Liu, J Huang, W Zhang, Y Ma - Applied Mathematics and Computation, 2019 - Elsevier
A highly accurate meshfree approach based on the barycentric Lagrange basis functions is
reported for solving the linear and nonlinear multi-dimensional systems of Fredholm integral …
reported for solving the linear and nonlinear multi-dimensional systems of Fredholm integral …