A review on fuzzy differential equations

M Mazandarani, L **u - 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 …

[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 …

Analysis of a fractional model of the Ambartsumian equation

D Kumar, J Singh, D Baleanu, S Rathore - The European Physical Journal …, 2018 - Springer
The prime target of this work is to investigate a fractional model of the Ambartsumian
equation. This equation is very useful to describe the surface brightness of the Milky Way …

A new numerical algorithm for fractional Fitzhugh–Nagumo equation arising in transmission of nerve impulses

D Kumar, J Singh, D Baleanu - Nonlinear Dynamics, 2018 - Springer
The principal objective of this study is to present a new numerical scheme based on a
combination of q-homotopy analysis approach and Laplace transform approach to examine …

Global bipartite synchronization of fractional-order time-varying coupled signed networks with proportional delays

Y Xu, W Li, C Zhang, W Li - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
This paper investigates the global bipartite synchronization of fractional-order time-varying
coupled signed networks with proportional delays. A systematic approach is proposed by …

Fuzzy fractional differential operators and equations

T Allahviranloo - Studies in fuzziness and soft computing, 2021 - Springer
I tried to use my all knowledge and experiences during 22 years on the fuzzy subjects, to
write this book. To this end, I studied many sources that all are in the sources section but the …

[HTML][HTML] An improved tau method for the multi-dimensional fractional Rayleigh–Stokes problem for a heated generalized second grade fluid

MA Zaky - Computers & mathematics with Applications, 2018 - Elsevier
We develop efficient algorithms based on the Legendre-tau approximation for one-and two-
dimensional fractional Rayleigh–Stokes problems for a generalized second-grade fluid. The …

Spline collocation methods for seismic analysis of multiple degree of freedom systems with visco-elastic dampers using fractional models

E Dadkhah Khiabani, H Ghaffarzadeh… - Journal of Vibration …, 2020 - journals.sagepub.com
The visco-elastic dampers can be economically designed for response reduction of
dynamical systems. Recent developments in fractional calculus have affected the modeling …

Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost

N Kumar, M Mehra - Numerical methods for partial differential …, 2021 - Wiley Online Library
This paper exhibits a numerical method for solving general fractional optimal control
problems involving a dynamical system described by a nonlinear Caputo fractional …

A survey on non-instantaneous impulsive fuzzy differential equations involving the generalized Caputo fractional derivative in the short memory case

TV An, ND Phu, N Van Hoa - Fuzzy Sets and Systems, 2022 - Elsevier
In this paper, the existence results of the solution and the finite-time stability (FTS) are
focused for fractional fuzzy differential equations (FFDEs) involving non-instantaneous …