Application of Local Fractional Homotopy Perturbation Method in Physical Problems
نویسندگان
چکیده
منابع مشابه
Application of He’s Homotopy Perturbation Method to Fractional Diffusion Equations
In this paper, the approximate analytical solutions of a general diffusion equation with fractional time derivative in the presence of a linear external force are obtained with the help of the homotopy perturbation method (HPM). The explicit solutions of the problem for the initial condition as a function of x have been obtained. It reveals that a few iterations are needed to obtain accurate ap...
متن کاملApplication of the Homotopy Perturbation Method to Cauchy Problems
In this paper, we apply the homotopy perturbation method (HPM) for solving the Cauchy problems of the first-order partial differential equation. We obtain the exact solutions to the homogeneous or inhomogeneous linear and nonlinear equations. Numerical results are presented to confirm the efficiency of the HPM. Mathematics Subject Classification: 35K15, 35C05, 65D99, 65M99
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 کاملApplication of He's homotopy perturbation method to linear programming problems
This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, redistribution , reselling , loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to da...
متن کاملHomotopy perturbation method for solving fractional Bratu-type equation
In this paper, the homotopy perturbation method (HPM) is applied to obtain an approximate solution of the fractional Bratu-type equations. The convergence of the method is also studied. The fractional derivatives are described in the modied Riemann-Liouville sense. The results show that the proposed method is very ecient and convenient and can readily be applied to a large class of fractional p...
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: Advances in Mathematical Physics
سال: 2020
ISSN: 1687-9120,1687-9139
DOI: 10.1155/2020/2108973