Browsing Matematik Bölümü by Subject "Jacobi Polynomials"

Now showing items 1-8 of 8

A Jacobi Gauss-Lobatto and Gauss-Radau collocation algorithm for solving fractional Fokker-Planck equations

Hafez, R. M.; Ezz-Eldien, Samer S.; Bhrawy, Ali H.; Ahmed, Engy A.; Baleanu, Dumitru (Springer, 2015-11)

In this article, we construct a new numerical approach for solving the time-fractional Fokker-Planck equation. The shifted Jacobi polynomials are used as basis functions, and the fractional derivative is described in the ...
A Jacobi Operational Matrix for Solving A Fuzzy Linear Fractional Differential Equation

Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru (Springer International Publishing AG, 2013)

This paper reveals a computational method based using a tau method with Jacobi polynomials for the solution of fuzzy linear fractional differential equations of order . A suitable representation of the fuzzy solution via ...
A novel Jacobi operational matrix for numerical solution of multi-term variable-order fractional differential equations

El-Sayed, A. A.; Baleanu, Dumitru; Agarwal, P. (2020-01-01)

In this article, we introduce a numerical technique for solving a class of multi-term variable-order fractional differential equation.The method depends on establishing a shifted Jacobi operational matrix (SJOM) of fractional ...
A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrodinger equation

Heydari, M. H.; Razzaghi, M.; Baleanu, D. (Communications In Nonlinear Science And Numerical Simulation, 2023-01)

In this work, the distributed-order time fractional version of the Schrodinger problem is defined by replacing the first order derivative in the classical problem with this kind of fractional derivative. The Caputo fractional ...
An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems

Doha, Eid H.; Bhrawy, Ali H.; Baleanu, Dumitru; Ezz-Eldien, Samer S.; Hafez, R. M. (Springer International Publishing, 2015-01-30)

In this article, we introduce a numerical technique for solving a general form of the fractional optimal control problem. Fractional derivatives are described in the Caputo sense. Using the properties of the shifted Jacobi ...
Efficient numerical treatments for a fractional optimal control nonlinear Tuberculosis model

Sweilam, N. H.; Al-Mekhlafi, S. M.; Baleanu, Dumitru (World Scientific Publ CO PTE LTD, 2018-11)

In this paper, the general nonlinear multi-strain Tuberculosis model is controlled using the merits of Jacobi spectral collocation method. In order to have a variety of accurate results to simulate the reality, a fractional ...
Modified Galerkin algorithm for solving multitype fractional differential equations

Alsuyuti, Muhammad M.; Doha, Eid H.; Ezz-Eldien, Samer S.; Bayoumi, Bayoumi I.; Baleanu, Dumitru (Wiley, 2019-03-30)

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 equations (FDEs) and system of FDEs (SFDEs) ...
New studies for general fractional financial models of awareness and trial advertising decisions

Sweilam, Nasser H.; Abou Hasan, Muner M.; Baleanu, Dumitru (Pergamon-Elsevier Science LTD, 2017-11)

Fractional derivative

Now showing items 1-8 of 8

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Browsing Matematik Bölümü by Subject "Jacobi Polynomials"

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