A review on fuzzy differential equations

M Mazandarani, L Xiu - IEEE access, 2021 - ieeexplore.ieee.org
Since the term “Fuzzy differential equations”(FDEs) emerged in the literature in 1978,
prevailing research effort has been dedicated not only to the development of the concepts …

Analytical solution of the Atangana–Baleanu–Caputo fractional differential equations using Pythagorean fuzzy sets

M Akram, G Muhammad, D Ahmad - Granular Computing, 2023 - Springer
Every real-world physical phenomena is inherently based on uncertainty and vagueness.
There is a frequent need of a useful tool that can handle the uncertainty, solve and explain …

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

OA Arqub, M Al-Smadi - Soft Computing, 2020 - Springer
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 …

Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator

O Abu Arqub, J Singh, B Maayah… - … Methods in the Applied …, 2023 - Wiley Online Library
In this research study, fuzzy fractional differential equations in presence of the Atangana–
Baleanu–Caputo differential operators are analytically and numerically treated using …

Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations

O Abu Arqub - Neural Computing and Applications, 2017 - Springer
In this article, we propose the reproducing kernel Hilbert space method to obtain the exact
and the numerical solutions of fuzzy Fredholm–Volterra integrodifferential equations. The …

Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm …

O Abu Arqub, J Singh… - Mathematical Methods in …, 2023 - Wiley Online Library
Mathematical modeling of uncertain fractional integrodifferentials (FIDEs) is an extremely
significant topic in electric circuits, signal processing, electromagnetics, and anomalous …

Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems

OA Arqub, M Al-Smadi, S Momani, T Hayat - Soft Computing, 2017 - Springer
In this paper, we investigate the analytic and approximate solutions of second-order, two-
point fuzzy boundary value problems based on the reproducing kernel theory under the …

Studies in Fuzziness and Soft Computing 295

J Kacprzyk - 2013 - Springer
The present manuscript is intended to be a textbook that could serve both undergraduate
and graduate students when studying Fuzzy Set Theory and Applications. It is also intended …

Generalized differentiability of fuzzy-valued functions

B Bede, L Stefanini - Fuzzy sets and systems, 2013 - Elsevier
In the present paper, using novel generalizations of the Hukuhara difference for fuzzy sets,
we introduce and study new generalized differentiability concepts for fuzzy valued functions …

[图书][B] Sequence spaces: topics in modern summability theory

M Mursaleen, F Başar - 2020 - taylorfrancis.com
This book is aimed at both experts and non-experts with an interest in getting acquainted
with sequence spaces, matrix transformations and their applications. It consists of several …