Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions

• Published in: Soft computing (Berlin, Germany) Vol. 24; no. 16; pp. 12501 - 12522
• Main Authors: Arqub, Omar Abu, Al-Smadi, Mohammed
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2020; Springer Nature B.V
• Subjects: Algorithms; Artificial Intelligence; Calculus; Computational Intelligence; Control; Differential equations; Engineering; Fractional calculus; Fuzzy sets; Graphical representations; Hilbert space; Mathematical Logic and Foundations; Mechatronics; Methodologies and Application; Robotics; Characterization theorem; Fuzzy conformable fractional differential equation; Fuzzy conformable derivative and integral; Reproducing kernel Hilbert space method

The aim of this article is to propose a new definition of fuzzy fractional derivative, so-called fuzzy conformable. To this end, we discussed fuzzy conformable fractional integral softly. Meanwhile, uniqueness, existence, and other properties of solutions of certain fuzzy conformable fractional diff...