Bhrawy, A. H.Al-Zahrani, A. A.Alhamed, Y. A.Baleanu, Dumitru2022-02-242022-02-242014Bhrawy, 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. 646-657.1221-146Xhttp://hdl.handle.net/20.500.12416/5052The 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.eninfo:eu-repo/semantics/closedAccessFunctional Differential EquationsFractional Pantograph EquationCollocation MethodGeneralized Laguerre-Gauss QuadratureGeneralized Laguerre PolynomialsArticle597-8646657