Novel Analysis of Fuzzy Fractional Klein-Gordon Model via Semianalytical Method
نویسندگان
چکیده
The current article discusses the new fuzzy iterative transform method, a hybrid methodology based on logic and an transformation technique. We demonstrate consistency of our technique by employing Caputo derivative under generalized Hukuhara differentiability to construct fractional Klein-Gordon equations with initial condition. series produced result was calculated compared exact result’s recommended equations. Two problems were used verify results approximated in form. upper lower half each two examples using distinct orders between zero one. Because it globalizes dynamical behavior specified equation, produces all forms at any order 0 1. Since numbers offer their form branches, unknown amount also adds fuzziness. It is crucial emphasize that suggested fuzziness method intended efficiency superiority numerical solutions nonlinear partial differential found complex physical structures.
منابع مشابه
Analytical solutions for the fractional Klein-Gordon equation
In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.
متن کاملFractional Subequation Method for Cahn-Hilliard and Klein-Gordon Equations
and Applied Analysis 3 of φj (j = 0, 1, . . . , 5) to zero, we finally end up with a system of algebraic equations, namely,
متن کاملOn nonlinear fractional Klein-Gordon equation
Numerical methods are used to find exact solution for the nonlinear differential equations. In the last decades Iterative methods have been used for solving fractional differential equations. In this paper, the Homotopy perturbation method has been successively applied for finding approximate analytical solutions of the fractional nonlinear Klein–Gordon equation can be used as numerical algorit...
متن کاملApproximate Series Solution of Nonlinear, Fractional Klein- Gordon Equations Using Fractional Reduced Differential Transform Method
Corresponding Author: Mohammed Al-Smadi Department of Applied Science, Ajloun College, AlBalqa Applied University, Ajloun 26816, Jordan Email: [email protected] Abstract: This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in Caputo sense by using the Fractional Red...
متن کاملSOLVING NONLINEAR KLEIN-GORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHOD
In this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).Comparisons are made between the Adomian decomposition method (ADM), the exact solution and homotopy analysis method. The results reveal that the proposed method is very effective and simple.
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: Journal of function spaces
سال: 2022
ISSN: ['2314-8896', '2314-8888']
DOI: https://doi.org/10.1155/2022/4020269