[PDF] Top 20 An efficient method for solving fractional Ricatti equations

... follows. In Sect. 2, we present the preliminaries which we used in this paper. Method of the solution is given in Sect. 3. Some numerical results are presented in Sect. 4 to show the efficiency of the proposed ... See full document

... Abstract The construction of fractional type of flatlet biorthogonal multiwavelet system is investigated in this paper. We apply this system as basis functions to solve the fractional differential and ... See full document

... analysis method (LHAM) to solved linear fractional partial differential equations using fractional operators of Liouville-Caputo and Caputo-Fabrizio ...of fractional calculus are given ... See full document

... This paper is organized as follows: In section 2 some basic definition and preliminar- ies about stochastic process and Itˆ o integral are presented. The Legendre wavelets and their properties are discussed in section 3. ... See full document

... of fractional calculus, the number of recent studies about them have also ...element method for a class of time-fractional diffusion ...iteration method and the Adomian decomposition ... See full document

... numerical method for solving fractional differential equations in the Riemann -Liouville sense and the approach is based on the Euler’s ...Euler method has intuitive geometric ... See full document

... differential equations governing the evolution of the surface may be applied directly to the grid represen- tation of ...preferred method for many ... See full document

... decomposition method (ADM) is a powerful tool which enables us to find solutions in case of linear as well as non-linear ...The method has been successfully applied to a system of fractional ... See full document

... Decomposition Method (ADM) to solve linear and nonlinear fractional partial differential ...The fractional derivatives are described in the Caputo ...differential equations shows that the ... See full document

... decomposition method [5, 29], the variational iteration method [6, 14, 33], the homotopy analysis method [1, 3, 28, 30], the homotopy perturbation method [7, 8, 10], the Lagrange ... See full document

... For illustration purposes, we considered three examples. Results obtained using the scheme presented here agree well with the numerical results presented elsewhere. Results also show that the numerical scheme is very ... See full document

... for solving differential equations of fractional order, such as Lie group method, invariant subspace method and numerical methods, [1, 2, 3, ...the method of characteristics is ... See full document

... convergent method for solving non-linear ...new method is eighth-order convergent which is also supported by the numerical ...iterative method require evaluation of three functions and one ... See full document

... differential equations refer, at least, to the time of Lanczos ...spectral method, such as the Galerkin, tau, and pseudospectral methods can be found in the ‘weighted residual method’ of Finlayson and ... See full document

... the fractional power series are generalized for the fuzzy frac- tional power series by using fuzzy Caputo deriva- ...fuzzy fractional power series to solve the fractional differential ... See full document

... Step 1: We consider the following general nonlinear space-time FDE of the type H(u, D α t u, D x α u, D 2α t u, D t α D x α u, D 2α x u, ...) = 0, 0 < α < 1, (1.5) where u is an unknown function, and H is a ... See full document

... for solving FDEs from the numerical point of view, such as the Legendre wavelet method, the spectral method and quartered shifted Legendre method based on Gauss ...Euler’s method has ... See full document

... numerical method for solving fuzzy differential equation of fractional order under gH-fractional Caputo ...this method is to approximate the solution of fuzzy fractional ... See full document

... collocation method is used to find an approximate solution of a system of differential equations of fractional order described in the Caputo ...proposed method to the system of fractional ... 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 recently ... See full document