A Power Series Method for the Fuzzy Fractional Logistic Differential Equation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F23%3AA2402I3W" target="_blank" >RIV/61988987:17610/23:A2402I3W - isvavai.cz</a>

Result on the web

<a href="https://www.worldscientific.com/doi/epdf/10.1142/S0218348X23400868" target="_blank" >https://www.worldscientific.com/doi/epdf/10.1142/S0218348X23400868</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218348X23400868" target="_blank" >10.1142/S0218348X23400868</a>

Result language

angličtina

Original language name

A Power Series Method for the Fuzzy Fractional Logistic Differential Equation

Original language description

Power series, as an important means to analyze functions in different complex settings, are employed in various applied areas to solve differential equations and nonlinear problems and provide the assessment of intervals of convergence. Accordingly, the fuzzy logistic differential equation using the Caputo operator has been studied in this paper. Accordingly, the fuzzy logistic differential equation using the Caputo operator has been studied in this paper. The generalized Hukuhara difference and the generalized Hukuhara derivative are also used, and a power series representation is proposed for the solution of the fuzzy fractional logistic equation. Afterward, power-series coefficients are obtained using a recursive formula. Finally, numerical experiments and illustrated results of the computations are presented to allow for more realistic decisions reflecting high complexity and underlying uncertainty. Thus, the numerical computations in our study reveal the effectiveness and accuracy of the power series method. Therefore, it is found that the fuzzy solution converges to the deterministic solution when uncertainty decreases, and, based on the technical analyses, it has been demonstrated that the results obtained are more fundamental in preventing geometric growth in nonlinear phenomena where uncertainties emerge due to impreciseness and inexactness.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

<a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

FRACTALS

ISSN

0218-348X

e-ISSN

—

Volume of the periodical

—

Issue of the periodical within the volume

2340086

Country of publishing house

SG - SINGAPORE

Number of pages

11

Pages from-to

1-11

UT code for WoS article

001081869500001

EID of the result in the Scopus database

2-s2.0-85164225571