Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method
نویسندگان
چکیده
منابع مشابه
Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method
The homotopy analysis method HAM is applied to solve linear and nonlinear fractional partial differential equations fPDEs . The fractional derivatives are described by Caputo’s sense. Series solutions of the fPDEs are obtained. A convergence theorem for the series solution is also given. The test examples, which include a variable coefficient, inhomogeneous and hyperbolic-type equations, demons...
متن کاملNumerical solutions for the time fractional variant Bussinesq equation by homotopy analysis method
In this article, the fractional derivatives in the sense of Caputo, and the homotopy analysis method (HAM) are used to construct the approximate solutions for the nonlinear fractional variant Bussinesq equations with respect to time fractional derivative. The HAM contains a certain auxiliary h parameter which provides us a simple way to adjust and control the convergence region and rate of conv...
متن کاملSolving Fuzzy Impulsive Fractional Differential Equations by Homotopy Perturbation Method
In this paper, we study semi-analytical methods entitled Homotopy pertourbation method (HPM) to solve fuzzy impulsive fractional differential equations based on the concept of generalized Hukuhara differentiability. At the end first of Homotopy pertourbation method is defined and its properties are considered completely. Then econvergence theorem for the solution are proved and we will show tha...
متن کاملSolving Fractional Fornberg-whitham Equation by Homotopy Analysis Method
In this paper, The analytical solution of the nonlinear Fornberg-Whitham equation with fractional time derivative was derived by means of the homotopy analysis method. The fractional derivatives are described in the Caputo sense. By choosing different values of the parameters in general formal numerical solutions, as a result, a very rapidly convergent series solution is obtained. The results r...
متن کاملApproximate Analytical Solutions of Time Fractional Whitham-Broer-Kaup Equations by a Residual Power Series Method
In this paper, a new analytic iterative technique, called the residual power series method (RPSM), is applied to time fractional Whitham–Broer–Kaup equations. The explicit approximate traveling solutions are obtained by using this method. The efficiency and accuracy of the present method is demonstrated by two aspects. One is analyzing the approximate solutions graphically. The other is compari...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Differential Equations and Nonlinear Mechanics
سال: 2008
ISSN: 1687-4099,1687-4102
DOI: 10.1155/2008/686512