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Browsing by Author "Alhamed, Y. A."

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    A New Generalized Laguerre-Gauss Collocation Scheme For Numerical Solution Of Generalized Fractional Pantograph Equations
    (2014) Baleanu, Dumitru; 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.
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    Exact solutions of Boussinesq and KdV-mKdV equations by fractional sub-equation method
    (2013) Baleanu, Dumitru; 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.