[PDF] Top 20 Numerical solution of fractional order logistic equations by fractional Eulers method

... century, fractional calculus was initially elaborated as a mathematical ...engineering. Fractional differential equations (FDEs) have been the concentration of plenty of research by the reason of ... See full document

... analytical method, the homotopy perturbation and natural transform method namely HPNT is introduced that is blend of the homotopy perturbation method and natural transform ...proposed method ... See full document

... The fractional differential equations have received considerable interest in recent ...applications, fractional derivatives and fractional integrals provide more accu- rate models of the ... See full document

... using fractional differential equ- ations (FDEs) to model their processes and ...solving fractional differential equations is the Shifted Legendre operational matrix (LOM) ...a numerical ... See full document

... the fractional Euler–Lagrange equation in terms of the Caputo fractional ...a fractional derivative with Mittag–Leffler type ...a fractional derivative with exponential ...a fractional ... See full document

... years, fractional differential equations (FDEs) have found applications in many problems in physics and engineering ...and numerical methods must be ...decomposition method (ADM) [5-6], ... See full document

... seeking numerical solutions of these equations becomes more and more important ...developing numerical schemes for the solution of ...iteration method [9, 32], homotopy perturbation ... See full document

... of fractional boundary value problem is presented using cubic spline method combined with shooting ...the fractional derivative into a system of ordinary differential equations is used for ... See full document

... approximate solution for fuzzy differential algebraic equations of fractional order (FFDAEs) based on the fractional differential transform Method (FDTM) which is proposed to ... See full document

... integro-differential equations of fractional order arise in many physical and engineer- ing problems such as fluid mechanics, viscoelasticity, dif- fusion processes, biology and so on ...the ... See full document

... real order. Since many dynamical systems can be described by fractional-order equation, fractional calculus has drawn the attention of many famous researchers ...science, fractional ... See full document

... Recently fractional differential equations have attracted attention in the areas of science and ...of equations is their nonlocal property in time or ...integer order of the differential ... See full document

... v  0   ,   1 , where D  u is the derivate of u of order  , D  v is the derivative of v of order  in the sense of Caputo. The algorithm is based on the fractional s s method. ... See full document

... iterative method and in Sec. 3.2 we give a description of shifted fractional-order Legendre ...collocation method to obtain the approx- imate solution for differential equation with ... See full document

... (Daftardar-Gejii-Jafaris) method is used to obtain nu- merical solution of the third order fractional differential ...DGJ method converges, the approximate solution is a good and ... See full document

... analytical method is unavailable for solving fractional order differ- ential ...some numerical methods to approximate the solution of fractional order differential ...our ... See full document

... is fractional calculus which dates back to the time of Leibniz [1] and from then many studies were done in this field ...[14]–[12]. Fractional differential equations (FDEs) have attracted the ... See full document

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

... A numerical method for the variable-order fractional functional differential equations (VO- FFDEs) has been ...This method is based on approximation with shifted Legendre ...a ... See full document

... for fractional differential ...variable-order fractional operators with applications can be found in ...high order accuracy in Jacobi spectral collocation methods for fractional terminal ... See full document