# IJPAM: Volume 118, No. 1 (2018)

# Title

SOLVING FIRST ORDER NONLINEAR FUZZYDIFFERENTIAL EQUATIONS USING OPTIMAL

HOMOTOPY ASYMPTOTIC METHOD

# Authors

A.F. Jameel^{1}, A. Saaban

^{2}, S.A. Altaie

^{3},

N.R. Anakira

^{4}, A.K. Alomari

^{5}, N. Ahmad

^{6}

^{1,2,3,6}School of Quantitative Sciences

Universiti Utara Malaysia (UUM)

Kedah, Sintok, 06010, MALAYSIA

^{3}Computer Engineering Department

University of Technology

Baghdad, IRAQ

^{4,5}Department of Mathematics

Faculty of Science and Technology

Irbid National University

2600 Irbid, JORDAN

# Abstract

In this paper, we discuss the approximate solution of first order nonlinear fuzzy initial value problems (FIVP) by formulate and analyze the use of the Optimal Homotopy Asymptotic Method (OHAM). OHAM allows for the solution of the fuzzy differential equation to be calculated in the form of an infinite series in which the components can be easily computed. This method provides us with a convenient way to control the convergence of approximation series. Numerical examples using the well-known nonlinear FIVP are presented to show the capability of the this method in this regard and the results are satisfied the convex triangular fuzzy number.# History

**Received: **2017-04-21
**Revised: **2017-10-11
**Published: **February 15, 2018

# AMS Classification, Key Words

**AMS Subject Classification: **03A72, 34A07, 14F35
**Key Words and Phrases: **fuzzy numbers, fuzzy differential equations, first order fuzzy initial value problems, optimal homotopy asymptotic method

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# How to Cite?

**DOI: 10.12732/ijpam.v118i1.5**

International Journal of Pure and Applied Mathematics

**How to cite this paper?****Source:****ISSN printed version:**1311-8080

**ISSN on-line version:**1314-3395

**Year:**2018

**Volume:**118

**Issue:**1

**Pages:**49 - 64

Google Scholar; DOI (International DOI Foundation); WorldCAT.

**This work is licensed under the Creative Commons Attribution International License (CC BY).**