The Adomian Decomposition Method for a Class of First Order Fuzzy Dynamic Equations on Time Scales
Keywords:
Time scale, Adomian decomposition method, First order fuzzy dynamic equationsAbstract
The Adomian decomposition method (ADM) is a semi-analytical method for solving ordinary and partial nonlinear differential equations. In this paper, we introduce the Adomian decomposition method on arbitrary time scales. Then, using the α-levels of a fuzzy function, we introduce the ADM for a class of first order fuzzy dynamic equations on arbitrary time scales for existence of solutions. It is shown that the series solutions converge to the exact solution for the considered problem. The results are provided with suitable numerical examples that show the accuracy of the proposed method.
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Data Availability Statement
Data will be provided on request to the corresponding authors.
