Open AccessStudy of Fuzzy Conformable Fractional Differential Equations
Author(s) -
Shashi Bhushan
Publication year - 2022
Publication title -
international journal of mathematics and computer research
Language(s) - English
Resource type - Journals
ISSN - 2320-7167
DOI - 10.47191/ijmcr/v10i4.02
Subject(s) - conformable matrix , differentiable function , mathematics , uniqueness , fuzzy logic , differential equation , mathematical analysis , computer science , physics , artificial intelligence , quantum mechanics
It is essential to use fuzzy differential equations in order to simulate a wide range of physical, applied, and engineering phenomena and uncertainties. For some fuzzy differential equations, obtaining precise solutions is quite challenging, hence reliable and effective analytical methods are essential. These fuzzy fractional differential equations will be studied in this research. Conformable fractional differentiability is examined in this paper, with the goal of developing an existence and uniqueness thesis for a fuzzy fractional differential equation using the idea of conformable differentiability, which is based on expanding a fuzzy mapping's class of differentiable fuzzy mappings. For this, we consider lateral Hukuhara derivatives of order q ∈ (0, 1).