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Browsing Fen - Edebiyat Fakültesi by Author "Doha, Eid H."

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A Computationally Efficient Method For a Class of Fractional Variational and Optimal Control Problems Using Fractional Gegenbauer Functions

El-Kalaawy, Ahmed A.; Doha, Eid H.; Ezz-Eldien, Samer S.; Abdelkawy, M. A.; Hafez, R. M.; Amin, A. Z. M.; Baleanu, Dumitru; Zaky, M. A. (Editura Academiei Romane, 2018)

This paper is devoted to investigate, from the numerical point of view, fractional-order Gegenbauer functions to solve fractional variational problems and fractional optimal control problems. We first introduce an orthonormal ...
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 ...
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 Recursive Approximations for Variable-Order Fractional Operators with Applications

Zaky, Mahmoud A.; Doha, Eid H.; Taha, Taha M.; Baleanu, Dumitru (Vilnius Gediminas Tech Univ, 2018)

To broaden the range of applicability of variable-order fractional differential models, reliable numerical approaches are needed to solve the model equation. In this paper, we develop Laguerre spectral collocation methods ...
Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations

Doha, Eid H.; Abdelkawy, M. A.; Amin, A. Z. M.; Baleanu, Dumitru (Inst Mathematics & Informatics, 2019)

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 shifted Jacobi polynomials. The ...
The Operational Matrix Formulation of The Jacobi Tau Approximation For Space Fractional Diffusion Equation

Bhrawy, Ali H.; Doha, Eid H.; Baleanu, Dumitru; Ezz-Eldien, Samer S. (Springer Open, 2014-08-20)

In this article, an accurate and efficient numerical method is presented for solving the space-fractional order diffusion equation (SFDE). Jacobi polynomials are used to approximate the solution of the equation as a base ...

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Browsing Fen - Edebiyat Fakültesi by Author "Doha, Eid H."

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