Shifted Chybeshev Polynomials for a Certain System of Fractional Order Integro-Differential Equations

Shifted Chybeshev Polynomials for a Certain System of Fractional Order Integro-Differential Equations

The main goal of this paper lies briefly in submitting and modifying somenumerical methods for solving system of linear Fractional order Integro- DifferentialEquations of Fredholm type (L.FFIDE's). in this method four kinds of shiftedChybeshev polynomials (T*,U*,V*and W*) are used as a bases of...

Full description

Bibliographic Details
Main Author:	Ahmed M. Shuker
Format:	Article
Language:	English
Published:	Unviversity of Technology- Iraq 2010-01-01
Series:	Engineering and Technology Journal
Subjects:	shifted chybeshev polynomials system of fractional integrodifferential equations
Online Access:	https://etj.uotechnology.edu.iq/article_26969_443a409f6f95bb4539ece2bf90b73221.pdf

Similar Items

Approximate Solution of Fractional Integro-Differential Equations by Using Bernstein Polynomials
by: Osama H. Mohammed, et al.
Published: (2012-04-01)

Shifted Fractional-Order Jacobi Collocation Method for Solving Variable-Order Fractional Integro-Differential Equation with Weakly Singular Kernel
by: Mohamed A. Abdelkawy, et al.
Published: (2021-12-01)

A Novel Vieta–Fibonacci Projection Method for Solving a System of Fractional Integrodifferential Equations
by: Abdelkader Moumen, et al.
Published: (2023-09-01)

Approximate analytical solution of fractional-order generalized integro-differential equations via fractional derivative of shifted Vieta-Lucas polynomial
by: Kazeem Issa, et al.
Published: (2024-01-01)

Numerical Solutions for Systems of Fractional and Classical Integro-Differential Equations via Finite Integration Method Based on Shifted Chebyshev Polynomials
by: Ampol Duangpan, et al.
Published: (2021-08-01)

Shifted Genocchi Polynomials Operational Matrix for Solving Fractional Order System
by: Abdulnasir Isah, et al.
Published: (2021-06-01)

A method for fractional Volterra integro-differential equations by Laguerre polynomials
by: Dilek Varol Bayram, et al.
Published: (2018-12-01)

A developed technique of homotopy analysis method for solving nonlinear systems of Volterra integro-differential equations of fractional order
by: Ahmed A. Yousif, et al.
Published: (2023-12-01)

A hybrid technique for approximating the solution of fractional order integro differential equations
by: Noor A. Abdulhameed, et al.
Published: (2023-12-01)

On a Partial Integro-Differential Equation on Time Scales
by: Ola Wael Al-Naser, et al.
Published: (2023-06-01)

Existence, uniqueness, and galerkin shifted Legendre's approximation of time delays integrodifferential models by adapting the Hilfer fractional attitude
by: Hind Sweis, et al.
Published: (2024-02-01)

An iterative spectral strategy for fractional-order weakly singular integro-partial differential equations with time and space delays
by: M. Usman, et al.
Published: (2022-03-01)

The spectral collocation method for solving a fractional integro-differential equation
by: Chuanhua Wu, et al.
Published: (2022-03-01)

Numerical Solution of Fractional Volterra-Fredholm Integro-Differential Equation Using Lagrange Polynomials
by: Nour Salman, et al.
Published: (2020-12-01)

Numerical solution method for multi-term variable order fractional differential equations by shifted Chebyshev polynomials of the third kind
by: Sadiye Nergis Tural-Polat, et al.
Published: (2022-07-01)

An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation
by: M. H. Heydari, et al.
Published: (2021-05-01)

On the Fractional Order Rodrigues Formula for the Shifted Legendre-Type Matrix Polynomials
by: Mohra Zayed, et al.
Published: (2020-01-01)

Weak solvability of a hyperbolic integro-differential equation with integral condition
by: D. Belakroum, et al.
Published: (2011-06-01)

Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations
by: H. Jafari, et al.
Published: (2021-10-01)

Numerical Study of Caputo Fractional-Order Differential Equations by Developing New Operational Matrices of Vieta–Lucas Polynomials
by: Zulfiqar Ahmad Noor, et al.
Published: (2022-01-01)

Numerical solution of fractional delay Volterra integro-ifferential equations Using Shifted Orthogonal Genocci Polynomials
by: Leila Mansouri, et al.
Published: (2021-05-01)

A hybrid technique for solving fractional delay variational problems by the shifted Legendre polynomials
by: Hasnaa F. Mohammed, et al.
Published: (2024-03-01)

A tau-Gegenbauer spectral approach for systems of fractional integro-differential equations with the error analysis
by: Khadijeh Sadri, et al.
Published: (2024-01-01)

Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents
by: Shaochun Ji, et al.
Published: (2019-12-01)

The Polynomial Least Squares Method for Nonlinear Fractional Volterra and Fredholm Integro-Differential Equations
by: Bogdan Căruntu, et al.
Published: (2021-09-01)

Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations
by: Eid H. Doha, et al.
Published: (2019-04-01)

Piecewise Fractional Jacobi Polynomial Approximations for Volterra Integro-Differential Equations with Weakly Singular Kernels
by: Haiyang Li, et al.
Published: (2022-10-01)

An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method
by: Baghdad Science Journal
Published: (2018-09-01)

Numerical solution for the time-fractional Fokker–Planck equation via shifted Chebyshev polynomials of the fourth kind
by: Haile Habenom, et al.
Published: (2020-06-01)

Numerical approximation of the Cauchy non-homogeneous time-fractional diffusion-wave equation with Caputo derivative using shifted Chebyshev polynomials
by: Mir Sajjad Hashemi, et al.
Published: (2023-10-01)

Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden–Fowler equation generated by derivative with non-singular kernel
by: M. H. Heydari, et al.
Published: (2021-03-01)

Existence of solutions for impulsive fractional integrodifferential equations with mixed boundary conditions
by: Baolin Li, et al.
Published: (2017-08-01)

The Numerical Technique Based on Shifted Jacobi-Gauss-Lobatto Polynomials for Solving Two Dimensional Multi-Space Fractional Bioheat Equations
by: Firas Amer Al-Saadawi, et al.
Published: (2020-12-01)

A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas Polynomials
by: Abdelkader Moumen, et al.
Published: (2022-12-01)

Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems
by: Debbouche Amar
Published: (2011-01-01)

Multiple solutions for perturbed non-local fractional Laplacian equations
by: Massimiliano Ferrara, et al.
Published: (2013-11-01)

Deviation of the Error Estimation for Second Order Fredholm-Volterra Integro Differential Equations
by: Reza Parvaz, et al.
Published: (2016-11-01)

Approximate Analytical Solutions for Systems of Fractional Nonlinear Integro-Differential Equations Using the Polynomial Least Squares Method
by: Bogdan Căruntu
Published: (2021-11-01)

Solving Nonlinear Multi-Order Fractional Differential Equations Using Bernstein Polynomials
by: Shahad Adil Taher Algazaa, et al.
Published: (2023-01-01)

Shifted Chebyshev operational matrices to solve the fractional time-delay diffusion equation
by: Adnan K. Farhood, et al.
Published: (2023-12-01)