[PDF] Top 20 An approximate solution of fractional cable equation by homotopy analysis method

... a fractional cable equation by treating the neuron and its membrane as two separate materials governed by separate fractional Nernst-Planck ...the fractional cable ... See full document

... The homotopy analysis method (HAM) is applied to obtain the analytic approximate solution of the well-known Korteweg-de Vries (KdV) ...series solution. The resulted HAM ... See full document

... This paper is organized as follows. In Section two, basic definitions of fractional deriva- tive operators involved are presented. Proof of continuation of solution is presented in Section three. The OHAM ... See full document

... decomposition method (ADM), the homo- topy perturbation method (HPM), the variational iteration method (VIM) some other numerical methods have been used to provide analytical approximation to linear ... See full document

... uncertain fractional differential equations to obtain the approximate ...the approximate solution of the fuzzy fractional Bagley-Torvik ...the fractional differential ... See full document

... Lorenz equation has made qualifying chaos possible which has inspired many mathematicians to research and study chaos ...through analysis of chaotic mathematical ...whose solution example the ... See full document

... traveling-wave solution of the Kawahara equation. The method used here contains three convergence-control parameters to accelerate the convergence of homotopy series solu- ...The ... See full document

... the approximate analytical solution of nonlinear partial differential equation for infiltration phenomenon, to examine the height of the free surface of the water mound in unsaturated homogeneous ... See full document

... optimal homotopy analysis method (OHAM) for approximate solutions of the fractional order Logistic ...iteration method (VIM) and Adomian decomposition method ...The ... See full document

... the fractional KdV-Burgers-Kuramoto equation us- ing ...of fractional or- der using ...solve fractional initial value prob- lems (fIVPs) for ordinary differential ...numerical solution ... See full document

... q-homotopy analysis method (q-HAM) to obtain an approximation of the analytic solution of the fractional Korteweg–de Vries (KdV) ...this method, the solution is found in ... See full document

... fuzzy analysis theory and are a useful tool to describe a dynamic phenomenon if its nature and data is vague (Ali ...and approximate-analytical methods for FPDEs have been attempted by numerous authors like ... See full document

... Picard method to find existence and uniqueness of the solution Volterra fractional integral equation of the second ...applied homotopy perturbation method (HPM) and variational ... See full document

... Due to the vast range of applications of the FPE, a lot of work has been done in order to find the numerical solution of this equation. In this context, the works of Buet et al. [2], Harrison [9], Palleschi ... See full document

... modified homotopy perturbation method was successfully used for solving Fisher’s equation with time-fractional derivative, and the classical HPM has been used for solving Fisher’s ... See full document

... an approximate analytical solution to the Gross- Pitaevskii equation while a nonlinear Schrödinger equation was utilized to si- mulate Bose-Einstein condensates trapped in a harmonic ... See full document

... Physics method, a generalized differential transform method and Fourier sin and cos transforms were used by ...used homotopy analysis me- thod, an effective approximate analytical ... See full document

... the fractional multi-dimensional Burgers equation in the sense of the Caputo fractional ...An approximate analytical solution of the problem is established by the homotopy ... See full document

... the approximate analytical solutions of the fractional coupled mKdV equation are obtained by homotopy analysis method ...The method includes an auxiliary parameter which ... See full document

... where N is a general nonlinear operator; and q( ) is generally an unknown function of variable which is time response of beam in this paper as mentioned in the previous section. Also ℎ, H( ), ψ and ℒ are non-zero ... See full document