SHEAF IMPULSIVE FUZZY CONTROL PROBLEM UNDER THE SECOND TYPE HUKUHARA DERIVATIVE
Summary: The concept of sheaf-solution to impulsive fuzzy control differential equations under the second-type Hukuhara derivative is developed in this paper. The continuous dependence of the sheaf-solution of such equations on the initial value is investigated using the Gronwall inequality.
Bao, Junyan, Wang, Peiguang
openaire +1 more source
ℎ-Stability of set differential equations [PDF]
In this paper, we introduce the notion of h-stability for set-valued differential equations. Necessary and sufficient conditions are established by using Lyapunov theory.
Sihem Boukthir +4 more
doaj +1 more source
Fixed point for derivative and differentiation of single-valued and set-valued functions on metric spaces [PDF]
Study of the fixed point for derivative functions is an effort to expand the knowledge of fixed point for functions. This study represents original research on the existence of the fixed point for derivative functions which has been not studied before.
Muslikh, Mohamad
core +1 more source
Existence of Hukuhara Differentiability of Fuzzy-Valued Functions
In this paper, we discuss existence of Hukuhara differentiability of fuzzy-valued functions. Several examples are worked out to check that fuzzy-valued functions are one time, two times and n-times H-differentiable.
D. C. Vakaskar, U. M. Pirzada
core +1 more source
A novel approach to approximate fractional derivative with uncertain conditions [PDF]
This paper focuses on providing a new scheme to find the fuzzy approximate solution of fractional differential equations (FDEs) under uncertainty.
S. Salahshour +9 more
core +1 more source
Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]
Guo J, Zhu X, Li W, Li H.
europepmc +1 more source
Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method. [PDF]
Jamal N +4 more
europepmc +1 more source
Differentiation of Multivalued Mappings. T-Derivative
Розглядаються деякі підходи до диференціювання багатозначних відображень та вводиться нове означення похідної (T-похідна), що узагальнює похідну Хукухари.We consider several approaches to the differentiation of multivalued mappings and introduce a new ...
Плотников, А.В.
core +1 more source
A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
The main goal of the paper is to propose and analyze a generalization of the Hukuhara difference to the setting of interval and fuzzy arithmetic. First, the case of compact convex sets is examined; then, the results are applied to generalize the Hukuhara
STEFANINI, LUCIANO
core +1 more source
Solution Strategy and Associated Results for Fuzzy Mellin Transformation
The advancement of the Mellin transformation is that it exhibits a scale-invariant nature, and thus, it is widely used in computer science. Fuzzy Mellin transformation can provide the purposes of such problems in uncertain phenomena. The existing studies
Payal Singh +4 more
doaj +1 more source

