Browsing by Author "Alhamed, Y. A."

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Citation Count: Bhrawy, A. H...et al. (2014). "A New Generalized Laguerre-Gauss Collocation Scheme For Numerical Solution Of Generalized Fractional Pantograph Equations", Romanian Journal of Physics, Vol. 59, No. 7-8, pp. 646-657.
A New Generalized Laguerre-Gauss Collocation Scheme For Numerical Solution Of Generalized Fractional Pantograph Equations
(2014) Bhrawy, A. H.; Al-Zahrani, A. A.; Alhamed, Y. A.; Baleanu, Dumitru; 56389
The manuscript is concerned with a generalization of the fractional pantograph equation which contains a linear functional argument. This type of equation has applications in many branches of physics and engineering. A new spectral collocation scheme is investigated to obtain a numerical solution of this equation with variable coefficients on a semi-infinite domain. This method is based upon the generalized Laguerre polynomials and Gauss quadrature integration. This scheme reduces solving the generalized fractional pantograph equation to a system of algebraic equations. Numerical results indicating the high accuracy and effectiveness of this algorithm are presented.
Citation Count: Jafari, H...et al. (2013). "Exact solutions of Boussinesq and KdV-mKdV equations by fractional sub-equation method", Romanian Reports in Physics, Vol.65, No. 4, pp. 1119-1124.
Exact solutions of Boussinesq and KdV-mKdV equations by fractional sub-equation method
(2013) Jafari, H.; Tajadodi, H.; Baleanu, Dumitru; Al-Zahrani, A. A.; Alhamed, Y. A.; Zahid, A. H.; 56389
A fractional sub-equation method is introduced to solve fractional differential equations. By the aid of the solutions of the fractional Riccati equation, we construct solutions of the Boussinesq and KdV-mKdV equations of fractional order. The obtained results show that this method is very efficient and easy to apply for solving fractional partial differential equations.