# The Residual Power Series Method for Solving the Fractional Fuzzy Delay Differential Equation

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1074)

## Abstract

In this paper, the fuzzy delay differential equation is expressed in fractional form, and the Residual Power Series Method (RPSM) is used to solve the equation. The delay differential equation indicates that in a system, the speed of the system is not only related to the current state of the system, but also depends on the historical trajectory until this moment. Due to the existence of systematic errors, fractional fuzzy delay differential equations play an important role in more and more system models in biology, engineering, physics and other sciences. Maple was used to calculate the numerical solution of this equation, and the results are presented in the form of a graph. The results show that it is an effective method when solving the fractional fuzzy delay differential equation. By this method, the approximate solutions of the fractional fuzzy delay differential equation can be obtained with just a few steps.

## Keywords

Residual Power Series Method Fractional fuzzy delay differential equation Caputo derivative

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