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 …

Solving fuzzy fractional differential equations by fuzzy Laplace transforms

S Salahshour, T Allahviranloo… - … in Nonlinear Science and …, 2012 - Elsevier
This paper deals with the solutions of fuzzy fractional differential equations (FFDEs) under
Riemann–Liouville H-differentiability by fuzzy Laplace transforms. In order to solve FFDEs, it …

Solution method for fifth-order fuzzy initial value problem

M Akram, M Yousuf, M Bilal - Granular Computing, 2023 - Springer
Fuzzy differential equations (FDEs) are the general concept of ordinary differential
equations. FDE seems to be a natural way to model the propagation of cognitive uncertainty …

On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem

S Salahshour, A Ahmadian, N Senu, D Baleanu… - Entropy, 2015 - mdpi.com
In this paper, we apply the concept of Caputo's H-differentiability, constructed based on the
generalized Hukuhara difference, to solve the fuzzy fractional differential equation (FFDE) …

[HTML][HTML] A fuzzy fractional power series approximation and taylor expansion for solving fuzzy fractional differential equation

P Singh, KH Gazi, M Rahaman, S Salahshour… - Decision Analytics …, 2024 - Elsevier
Fuzzy fractional differential has the strength to capture the senses of memory and
uncertainty simultaneously involved in dynamical systems. However, a solution for fuzzy …

Analysis of incommensurate multi-order fuzzy fractional differential equations under strongly generalized fuzzy Caputo's differentiability

M Akram, G Muhammad - Granular Computing, 2023 - Springer
Analytical studies of fuzzy fractional differential equations (FFDEs) of two different
independent fractional orders are often complex and difficult. It is essential to develop …

Solving Pythagorean fuzzy fractional differential equations using Laplace transform

M Akram, T Ihsan, T Allahviranloo - Granular Computing, 2023 - Springer
In this research article, we discuss an important class of modern differential equations in the
Pythagorean fuzzy environment, called the Pythagorean fuzzy fractional differential …

Fuzzy fractional-order model of the novel coronavirus

S Ahmad, A Ullah, K Shah, S Salahshour… - Advances in difference …, 2020 - Springer
In this paper, a novel coronavirus infection system with a fuzzy fractional differential equation
defined in Caputo's sense is developed. By using the fuzzy Laplace method coupled with …

Applications of fuzzy Laplace transforms

S Salahshour, T Allahviranloo - Soft computing, 2013 - Springer
A natural way to model dynamic systems under uncertainty is to use fuzzy initial value
problems (FIVPs) and related uncertain systems. In this paper, we express the fuzzy Laplace …

Type-2 fuzzy fractional derivatives

M Mazandarani, M Najariyan - Communications in nonlinear science and …, 2014 - Elsevier
In this paper, we introduce two definitions of the differentiability of type-2 fuzzy number-
valued functions of fractional order. The definitions are in the sense of Riemann–Liouville …