[PDF] Top 20 Mahgoub Transform Method for Solving Linear Fractional Differential Equations

... integral transform methods have been applied to find the analytical solution of ...both linear and nonlinear FDEs ...introduced Mahgoub transform method to solve the ordinary ... See full document

... analysis method is also able to combine with other techniques employed in nonlinear differential equations such as spectral methods (Motsa, ...element method to allow the linear ... See full document

... The rest of the paper is organized as follows: In section 2, we introduce some basic concepts of fuzzy mathematics and the definition and notation of Riemann-Livoullie fractional derivatives. The Adomian ... See full document

... the method of successive approximations and used to approximate the solution of the nonlinear Hammerstein fuzzy integral equation, and then they proposed the notion of numerical stability of the algorithm with ... See full document

... Spectral methods have been developed through the last years for the numerical solu- tions of fractional differential equations. Compared to other numerical methods, spectral methods give high ... See full document

... decomposition method (ADM), variational iteration method (VIM), homotopy analysis method(HAM), homotopy perturbation method (HPM) and differential transform ...Generalized ... See full document

... approximation method for solving linear and nonlinear problems and at beginning it was proposed for solving nonlinear fractional differential equations [6], by modifying ... See full document

... the Fractional Telescoping Decomposition Method (FTDM), a generaliza- tion of the TDM [4] and a modified form of the well- known Adomian Decomposition Method, for solving frac- tional ... See full document

... for solving a wide range of engineering and physical ...Laplace transform, exponential operators and their applications in solving certain systems of boundary value ...present method can be ... See full document

... iteration method, which is a modified general Lagrange multiplier method [34] has been shown to solve effectively, easily and accurately, a large class of nonlinear problems with approximations which ... See full document

... Abstract— Reduced differential transform method (RDTM) is implemented for solving the linear and nonlinear Klein Gordon equations. The approximate analytical solution of the ... See full document

... of fractional calculus (that is calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to ... See full document

... of differential transform method to the proposed model and to verify the validity of the method in solving the model equations using computer in- built Maple 18 classical ... See full document

... next collocate it in N evenly spaced nodes in [0, 1]. Hence we reach to a system with N linear and N nonlinear equations. By using the Newton iteration method, we can solve this system and obtain the ... See full document

... of fractional calculus in the derivation of particular solutions of a significantly large number of linear ordinary and partial differential equations of the second and higher ...simple ... See full document

... Fractional equations have enabled the investigation of the nonlocal response of multiple phenomena such as diffusion processes, electrodynamics, fluid flow, elasticity and many more [–]; fractional ... See full document

... of fractional calculus ( a mathematical branch investigating the properties of derivatives and integrals of non- integer orders) [8] , in varied fields, the solution techniques for fractional ... See full document

... reduced differential transform ...reduced differential transform method is powerful mathematical tool to solving Goursat ...promising method to solve other nonlinear ... See full document

... collocation method is proposed for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is ... See full document

... (NLTD) equations of the second kind have been exploited in several areas, including non homogeneous elasticity and electrostatics (Sankar ...integral equations (Karoui ...integral equations. A ... See full document