An extension of Krasnoselskii's fixed point theorem and its application to nonlocal problems for implicit fractional differential systems with uncertainty

HV Long, NP Dong - Journal of Fixed Point Theory and Applications, 2018 - Springer
The traditional Krasnoselskii's fixed point theorem in Banach spaces does not reproduce the
rich and varied forms of operator equations in abstract spaces which are not linear structure …

Discussion on fuzzy quota harvesting model in fuzzy environment: fuzzy differential equation approach

S Paul, SP Mondal, P Bhattacharya - Modeling Earth Systems and …, 2016 - Springer
In the recent years much importance has been laid on the role of uncertainty (fuzzy, interval
etc.) in mathematical biology. In this paper we tried to study on the quota harvesting model in …

Homotopy analysis method to solve two-dimensional nonlinear Volterra-Fredholm fuzzy integral equations

A Georgieva, S Hristova - Fractal and Fractional, 2020 - mdpi.com
The main goal of the paper is to present an approximate method for solving of a two-
dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). It is applied …

Different solution strategies for solving epidemic model in imprecise environment

A Mahata, SP Mondal, A Ahmadian, F Ismail… - …, 2018 - Wiley Online Library
We study the different solution strategy for solving epidemic model in different imprecise
environment, that is, a Susceptible‐Infected‐Susceptible (SIS) model in imprecise …

A Runge-Kutta numerical scheme applied in solving predator-prey fuzzy model with Holling type II functional response

I Sukarsih, AK Supriatna, E Carnia… - Frontiers in Applied …, 2023 - frontiersin.org
The predator-prey model has been extensively studied, but only studies models in a certain
environment, where all parameters and initial values involved in the model are assumed to …

Euler-based new solution method for fuzzy initial value problems

S Tapaswini, S Chakraverty - International Journal of …, 2014 - inderscienceonline.com
This paper targets to investigate the numerical solution of linear, non-linear and system of
ordinary differential equations with fuzzy initial condition. Here, two Euler type methods have …

The behaviour of logistic equation in fuzzy environment: fuzzy differential equation approach

A Mahata, SN Matia, B Roy, S Alam… - … Journal of Hybrid …, 2021 - inderscienceonline.com
Mathematical modelling on uncertainty in the field of biological science is progressively
increasing to get more realistic outcome during the last few years. This article applies …

On the partial delta differentiability of fuzzy-valued functions via the generalized Hukuhara difference

T Truong, L Nguyen, B Schneider - Computational and Applied …, 2021 - Springer
In this paper, we propose the concept of partial delta derivatives of binary fuzzy-valued
functions on time scales via the generalized Hukuhara difference. The first focus is on the …

Numerical Investigation of Fuzzy Predator-Prey Model with a Functional Response of the Form Arctan(ax)

S Mallak, D Farekh, B Attili - Mathematics, 2021 - mdpi.com
In this paper we study a fuzzy predator-prey model with functional response arctan (ax). The
fuzzy derivatives are approximated using the generalized Hukuhara derivative. To execute …

Role of fear factor in a two-prey one-predator model: comparison between crisp and fuzzy environment

S Das, S Biswas, R Banerjee, P Das - International Journal of …, 2021 - Taylor & Francis
A prey–predator model with fear effect on two prey species in presence of predator and the
intraspecific competition between two prey species has been considered first time in crisp …