Open AccessSolution of Linear Fuzzy Fractional Differential Equations Using Fuzzy Natural Transform
Author(s) -
Hameeda Oda Al-Humedi,
Shaimaa Abdul-Hussein Kadhim
Publication year - 2021
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.8122.4165
Subject(s) - mathematics , fuzzy logic , matlab , fuzzy number , fractional calculus , range (aeronautics) , fuzzy set , computer science , artificial intelligence , materials science , composite material , operating system
The purpose of this paper is to apply the fuzzy natural transform (FNT) for solving linear fuzzy fractional ordinary differential equations (FFODEs) involving fuzzy Caputo’s H-difference with Mittag-Leffler laws. It is followed by proposing new results on the property of FNT for fuzzy Caputo’s H-difference. An algorithm was then applied to find the solutions of linear FFODEs as fuzzy real functions. More specifically, we first obtained four forms of solutions when the FFODEs is of order α∈(0,1], then eight systems of solutions when the FFODEs is of order α∈(1,2] and finally, all of these solutions are plotted using MATLAB. In fact, the proposed approach is an effective and practical to solve a wide range of fractional models.