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 …

Solutions of fuzzy differential equations based on generalized differentiability

B Bede, SG Gal - 2010 - projecteuclid.org
The main goal of this paper is to show that the concept of generalized differentiability
introduced by the authors in [2] allows to obtain new solutions to the fuzzy differential …

Random fuzzy fractional integral equations–theoretical foundations

MT Malinowski - Fuzzy sets and Systems, 2015 - Elsevier
This paper presents mathematical foundations for studies of random fuzzy fractional integral
equations which involve a fuzzy integral of fractional order. We consider two different kinds …

Fuzzy delay differential equations under generalized differentiability

A Khastan, JJ Nieto, R Rodríguez-López - Information Sciences, 2014 - Elsevier
We interpret a fuzzy delay differential equation using the concept of generalized
differentiability. In this setting, we prove the existence of two fuzzy solutions, each one …

Numerical solution of bipolar fuzzy initial value problem

M Saqib, M Akram, S Bashir… - Journal of Intelligent & …, 2021 - content.iospress.com
Differential equations occur in many fields of science, engineering and social science as it is
a natural way of modeling uncertain dynamical systems. A bipolar fuzzy set model is useful …

A new derivative concept for set-valued and fuzzy-valued functions. Differential and integral calculus in quasilinear metric spaces

V Lupulescu, D O'Regan - Fuzzy Sets and Systems, 2021 - Elsevier
The aim of this paper is to develop a differential calculus for functions with values in a
quasilinear metric space. Using only the metric on a quasilinear metric space and without …

Finite time non-fragile dissipative control for uncertain TS fuzzy system with time-varying delay

Y Ma, M Chen - Neurocomputing, 2016 - Elsevier
In this paper, the problem of finite time non-fragile dissipative control for uncertain TS fuzzy
time-varying delay system is investigated. Considering the time-varying delay and using of a …

Fully fuzzy semi-linear dynamical system solved by fuzzy laplace transform under modified Hukuhara derivative

P Pandit, P Singh - Soft Computing for Problem Solving: SocProS 2018 …, 2020 - Springer
Semi-linear dynamical systems draw attention in many useful real world problems like
population model, epidemic model, etc., they also occur in various applications involving …

[PDF][PDF] Existence and uniqueness theorems for fuzzy differential equations

C You, W Wang, H Huo - Journal of Uncertain Systems, 2013 - Citeseer
Fuzzy differential equations are important tools to deal with dynamic systems in fuzzy
environments. However, it is difficult to find the solutions to all fuzzy differential equations. In …

Fuzzy functional integro-differential equations under generalized H-differentiability

NV Hoa, ND Phu - Journal of Intelligent & Fuzzy Systems, 2014 - content.iospress.com
In this paper, we present the studies on two kinds of solutions to fuzzy functional integro-
differential equations (FFIDEs). The different types of solutions to FFIDEs are generated by …