Series Solution of the System of Fuzzy Differential Equations | Zendy

Mir Sajjad Hashemi | Zendy; J. Malekinagad | Zendy; H. R. Marasi | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Series Solution of the System of Fuzzy Differential Equations

Author(s) -

Mir Sajjad Hashemi,

J. Malekinagad,

H. R. Marasi

Publication year - 2012

Publication title -

advances in fuzzy systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.38

H-Index - 19

eISSN - 1687-711X

pISSN - 1687-7101

DOI - 10.1155/2012/407647

Subject(s) - homotopy analysis method , series (stratigraphy) , convergence (economics) , mathematics , power series , simple (philosophy) , fuzzy logic , computer science , mathematical optimization , homotopy , mathematical analysis , pure mathematics , artificial intelligence , paleontology , philosophy , epistemology , economics , biology , economic growth

The homotopy analysis method (HAM) is proposed to obtain a semianalytical solution of the system of fuzzy differential equations (SFDE). The HAM contains the auxiliary parameter ħ, which provides us with a simple way to adjust and control the convergence region of solution series. Concept of ħ-meshes and contour plots firstly are introduced in this paper which are the generations of traditional h-curves. Convergency of this method for the SFDE has been considered and some examples are given to illustrate the efficiency and power of HAM

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research