A review on fuzzy differential equations
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 …
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
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 …
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
In this research study, fuzzy fractional differential equations in presence of the Atangana–
Baleanu–Caputo differential operators are analytically and numerically treated using …
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 …
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
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 …
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
In this manuscript, we introduced, analyzed, and studied fuzzy fractional differential
equations in terms of Atangana-Baleanu-Caputo differential operator equipped with …
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
We survey some representative results on fuzzy fractional differential equations,
controllability, approximate controllability, optimal control, and optimal feedback control for …
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 …
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
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 …
by using the fundamental properties of artificial neural networks (ANNs) for function …
Spline collocation methods for systems of fuzzy fractional differential equations
In this paper, systems of fuzzy fractional differential equations with a lateral type of the
Hukuhara derivative and the generalized Hukuhara derivative are numerically studied …
Hukuhara derivative and the generalized Hukuhara derivative are numerically studied …