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Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Bhrawy, A. H."

Now showing items 21-27 of 27

New spectral techniques for systems of fractional differential equations using fractional-order generalized laguerre orthogonal functions

Bhrawy, A. H.; Alhamed, Yahia A.; Baleanu, Dumitru; Al-Zahrani, A. A. (Walter De Gruyter GMBH, 2014-12)

Fractional-order generalized Laguerre functions (FGLFs) are proposed depends on the definition of generalized Laguerre polynomials. In addition, we derive a new formula expressing explicitly any Caputo fractional-order ...
Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method

Bhrawy, A. H.; Alghamdi, M. A.; Baleanu, Dumitru (Hindawi LTD, 2013)

The shifted Jacobi-Gauss-Lobatto pseudospectral (SJGLP) method is applied to neutral functional-differential equations (NFDEs) with proportional delays. The proposed approximation is based on shifted Jacobi collocation ...
Numerical solutions of two-dimensional mixed volterra-fredholm integral equations via bernoulli collocation method

Hafez, R. M.; Doha, E. H.; Bhrawy, A. H.; Baleanu, Dumitru (Editura Academiei Romane, 2017)

The mixed Volterra-Fredholm integral equations (VFIEs) arise in various physical and biological models. The main purpose of this article is to propose and analyze efficient Bernoulli collocation techniques for numerically ...
On A Generalized Laguerre Operational Matrix of Fractional Integration

Bhrawy, A. H.; Baleanu, Dumitru; Assas, L. M.; Tenreiro Machado, J. A. (Hindawi LTD, 2013)

A new operational matrix of fractional integration of arbitrary order for generalized Laguerre polynomials is derived. The fractional integration is described in the Riemann-Liouville sense. This operational matrix is ...
On Shifted Jacobi Spectral Approximations For Solving Fractional Differential Equations

Doha, E. H.; Bhrawy, A. H.; Baleanu, Dumitru; Ezz-Eldien, S. S. (Elsevier Science, 2013-04-01)

In this paper, a new formula of Caputo fractional-order derivatives of shifted Jacobi polynomials of any degree in terms of shifted Jacobi polynomials themselves is proved. We discuss a direct solution technique for linear ...
Solving fractional optimal control problems within a Chebyshev-Legendre operational technique

Bhrawy, A. H.; Ezz-Eldien, S. S.; Doha, E. H.; Abdelkawy, M. A.; Baleanu, Dumitru (Taylor&Francis, 2017)

In this manuscript, we report a new operational technique for approximating the numerical solution of fractional optimal control (FOC) problems. The operational matrix of the Caputo fractional derivative of the orthonormal ...
Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems

Baleanu, Dumitru; Bhrawy, A. H.; Taha, T. M. (Hindawi LTD, 2013)

We present a direct solution technique for approximating linear multiterm fractional differential equations (FDEs) on semi-infinite interval, using generalized Laguerre polynomials. We derive the operational matrix of ...

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Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Bhrawy, A. H."

Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Bhrawy, A. H."

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