Open AccessAnalytical Solutions of Fuzzy Linear Differential Equations in the Conformable Setting
Author(s) -
Awais Younus,
Muhammad Asif,
Usama Atta,
Tehmina Bashir,
Thabet Abdeljawad
Publication year - 2021
Publication title -
journal of fractional calculus and nonlinear systems
Language(s) - English
Resource type - Journals
ISSN - 2709-9547
DOI - 10.48185/jfcns.v2i2.342
Subject(s) - conformable matrix , mathematics , generalization , differential equation , ordinary differential equation , mathematical analysis , fuzzy logic , computer science , physics , artificial intelligence , quantum mechanics
In this paper, we provide the generalization of two predefined concepts under the name fuzzy conformable differential equations. We solve the fuzzy conformable ordinary differential equations under the strongly generalized conformable derivative. For the order $\Psi$, we use two methods. The first technique is to resolve a fuzzy conformable differential equation into two systems of differential equations according to the two types of derivatives. The second method solves fuzzy conformable differential equations of order $\Psi$ by a variation of the constant formula. Moreover, we generalize our results to solve fuzzy conformable ordinary differential equations of a higher order. Further, we provide some examples in each section for the sake of demonstration of our results.