Granular fuzzy calculus on time scales and its applications to fuzzy dynamic equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00144258" target="_blank" >RIV/00216224:14310/25:00144258 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0020025524014610" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020025524014610</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ins.2024.121547" target="_blank" >10.1016/j.ins.2024.121547</a>
Alternative languages
Result language
angličtina
Original language name
Granular fuzzy calculus on time scales and its applications to fuzzy dynamic equations
Original language description
This paper introduces the foundational theory of fuzzy calculus on time scales, utilizing granular arithmetic operations between fuzzy intervals. These operations are developed based on the concept of the horizontal membership function (HMF), which is applied in multidimensional fuzzy arithmetic (MFA). Furthermore, the paper explores the existence of a unique solution and the continuous dependence of the solution to fuzzy dynamic equations on initial data, employing the Banach fixed-point theorem under a new metric for fuzzy functions in time scales involving the generalized exponential function. Finally, to highlight the practical significance of these results and their potential applications, the paper presents mathematical models relevant to nuclear physics and biology.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA23-05242S" target="_blank" >GA23-05242S: Oscillation theory on hybrid time domains with applications in spectral theory and matrix analysis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Information Sciences
ISSN
0020-0255
e-ISSN
1872-6291
Volume of the periodical
690
Issue of the periodical within the volume
February
Country of publishing house
US - UNITED STATES
Number of pages
32
Pages from-to
1-32
UT code for WoS article
001369188400001
EID of the result in the Scopus database
2-s2.0-85207082239