Browsing Fen - Edebiyat Fakültesi by Author "El-Kalaawy, Ahmed A."

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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 ...
New numerical approach for fractional variational problems using shifted legendre orthonormal polynomials

Ezz-Eldien, Samer S.; Hafez, R. M.; Bhrawy, Ali H.; Baleanu, Dumitru; El-Kalaawy, Ahmed A. (Springer/Plenum Publishers, 2017-07)

This paper reports a new numerical approach for numerically solving types of fractional variational problems. In our approach, we use the fractional integrals operational matrix, described in the sense of Riemann-Liouville, ...

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