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 bipolar fuzzy heat equation using homotopy perturbation method

M Akram, M Bilal - Granular Computing, 2023 - Springer
The homotopy perturbation method is a semi-analytical method for solving linear and
nonlinear ordinary/partial differential equations. Since it is extremely difficult to find exact …

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 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 …

Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative

M ur Rahman, M Arfan, K Shah… - Chaos, Solitons & …, 2020 - Elsevier
This paper is devoted to investigation of the fractional order fuzzy dynamical system, in our
case, modeling the recent pandemic due to corona virus (COVID-19). The considered model …

Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications

M Al-Smadi, OA Arqub, D Zeidan - Chaos, Solitons & Fractals, 2021 - Elsevier
In this manuscript, we introduced, analyzed, and studied fuzzy fractional differential
equations in terms of Atangana-Baleanu-Caputo differential operator equipped with …

[HTML][HTML] A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

RP Agarwal, D Baleanu, JJ Nieto, DFM Torres… - … of Computational and …, 2018 - Elsevier
We survey some representative results on fuzzy fractional differential equations,
controllability, approximate controllability, optimal control, and optimal feedback control for …

Fractional calculus for interval-valued functions

V Lupulescu - Fuzzy Sets and Systems, 2015 - Elsevier
We use a generalization of the Hukuhara difference for closed intervals on the real line to
develop a theory of the fractional calculus for interval-valued functions. The properties of …

Solving differential equations of fractional order using an optimization technique based on training artificial neural network

M Pakdaman, A Ahmadian, S Effati… - Applied Mathematics …, 2017 - Elsevier
The current study aims to approximate the solution of fractional differential equations (FDEs)
by using the fundamental properties of artificial neural networks (ANNs) for function …

Modified fractional Euler method for solving fuzzy fractional initial value problem

M Mazandarani, AV Kamyad - Communications in Nonlinear Science and …, 2013 - Elsevier
In this paper, the solution to Fuzzy Fractional Initial Value Problem [FFIVP] under Caputo-
type fuzzy fractional derivatives by a modified fractional Euler method is presented. The …