Open AccessSome Fundamental Results on Fuzzy Conformable Differential Calculus
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.v2i2.341
Subject(s) - conformable matrix , fuzzy logic , mathematics , differential calculus , calculus (dental) , order (exchange) , computer science , pure mathematics , artificial intelligence , physics , medicine , dentistry , finance , quantum mechanics , economics
In this paper, we combine fuzzy calculus, and conformable calculus to introduce the fuzzy conformable calculus. We define the fuzzy conformable derivative of order $2\Psi $ and generalize it to derivatives of order $p\Psi $. Several properties on difference, product, sum, and addition of two fuzzy-valued functions are provided which are used in the solution of the fuzzy conformable differential equations. Also, examples in each case are given to illustrate the utility of our results.