[PDF] Top 20 On numerical techniques for solving the fractional logistic differential equation

... of fractional over classi- cal calculus [4, ...the fractional calculus has provided better results compared to those obtained via the classical ...the fractional calculus becomes evident based on ... See full document

... approximation and numerical techniques must be used. For example Adomian decomposition method, the homotopy- perturbation method, the variational iteration method and the homotopy analysis method [13-19]. ... See full document

... of fractional logistic differential ...the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numerical ... See full document

... for solving the non-linear fractional Logistic differential equation ...The fractional derivative is described in the Riemann-Liouville ...the fractional integration in ... See full document

... ordinary differential equations. Among the techniques used in building finite difference, scheme is the use of interpola- tion which requires the design of a basis function that is adequately differentia- ... See full document

... and fractional calculus is ...for fractional integration are ...of fractional integro-differential equa- ...some numerical examples are ... See full document

... Fuzzy Fractional Initial Value Problem under Caputo- type fuzzy fractional derivatives by a modified fractional Euler ...for solving FFDE is an area not yet widely investigated, in this paper ... See full document

... Wavelets and multiwavelets are the interesting object in mathematical sciences which have many applications in various fields such as image processing, signal de- noising, physics and etc [5, 11, 15, 17]. For instance ... See full document

... and the exact solution. We see that the approximate solutions are in high agreement with the exact solution, when ν = 1. Therefore, we state the solution for ν = 0.5 and ν = 0.75 is also credible. In Tables 1−3, the ... See full document

... decades, fractional differential equations have been paid an increasing attention as they are widely used to describe various complex phenomena in many fields such as the fluid flow, signal processing, control theory, ... See full document

... of solving a system of algebraic equations leading to simplify the original problem ...the numerical solution of a multilinear and nonlin- ear fractional differential ... 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 ...efficient solving ordinary ... See full document

... solutions if the system has exact solutions that are polynomial functions. If the exact solutions of problem are not polynomial functions, then a good approximation can be gained by using the proposed method . The method ... See full document

... the numerical method relatively new for solving fuzzy fractional differential equations using Adomian decomposition method (ADM) where the fractional derivative is assumed in terms ... See full document

... of fractional calculus in the nonlinear oscillation of earthquakes [11], viscoelastic materials [2], colored noise [22], solid mechanics [30], fluid-dynamic traffic [12], continuum and statistical mechanics [21], ... See full document

... of fractional differential equations have been investigated in [, ...the fractional differential equations have no ex- act ...for solving this kind of ...solve fractional- order differential ... See full document

... multinomial fractional ordinary differential ...three numerical solution methods to approximate the equation ...Using fractional derivative model, it will lead to a series of ... See full document

... years, fractional differential equations (FDEs) have found applications in many problems in physics and engineering ...and numerical methods must be ...for solving nonlinear problems include ... See full document

... 10, equation (30) is collocated at roots of P 11 (α,β) (x). Then, by solving the resultant algebraic system, the unknown vector C can be determined for some values of α and β ...the numerical results ... See full document

... Due to the publication of (Condon, 1937) on the topic “Immersion of the Fourier Transform in continues group of functional transformation”. Condon observes that "there exists a continuous group of functional ... See full document