Some important results for the conformable fractional stochastic pantograph differential equations in the Lp space

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10256449" target="_blank" >RIV/61989100:27740/24:10256449 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.isr-publications.com/jmcs/articles-14328-some-important-results-for-the-conformable-fractional-stochastic-pantograph-differential-equations-in-the-mathbflmathrmp-space" target="_blank" >https://www.isr-publications.com/jmcs/articles-14328-some-important-results-for-the-conformable-fractional-stochastic-pantograph-differential-equations-in-the-mathbflmathrmp-space</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.22436/jmcs.037.01.08" target="_blank" >10.22436/jmcs.037.01.08</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Some important results for the conformable fractional stochastic pantograph differential equations in the Lp space

Popis výsledku v původním jazyce

Important mathematical topics include existence, uniqueness, continuous dependency, regularity, and the averaging principle. In this research work, we establish these results for the conformable fractional stochastic pantograph differential equations (CFSPDEs) in L-p space. The situation of p = 2 is generalized by the obtained findings. First, we establish the existence and uniqueness results by applying the contraction mapping principle under a suitably weighted norm and demonstrating the continuous dependency of solutions on both the initial values and fractional exponent 4). . The second section is devoted to examining the regularity of time. As a result, we find that, for each Phi is an element of ( 0, Phi - 1/2 ), the solution to the considered problem has Phi-Holder continuous version. Next, we study the averaging principle by using Jensen&apos;s, Gronwall-Bellman&apos;s, Holder&apos;s, and BurkholderDavis-Gundy&apos;s inequalities. To help with the understanding of the theoretical results, we provide three applied examples at the end.

Název v anglickém jazyce

Some important results for the conformable fractional stochastic pantograph differential equations in the Lp space

Popis výsledku anglicky

Important mathematical topics include existence, uniqueness, continuous dependency, regularity, and the averaging principle. In this research work, we establish these results for the conformable fractional stochastic pantograph differential equations (CFSPDEs) in L-p space. The situation of p = 2 is generalized by the obtained findings. First, we establish the existence and uniqueness results by applying the contraction mapping principle under a suitably weighted norm and demonstrating the continuous dependency of solutions on both the initial values and fractional exponent 4). . The second section is devoted to examining the regularity of time. As a result, we find that, for each Phi is an element of ( 0, Phi - 1/2 ), the solution to the considered problem has Phi-Holder continuous version. Next, we study the averaging principle by using Jensen&apos;s, Gronwall-Bellman&apos;s, Holder&apos;s, and BurkholderDavis-Gundy&apos;s inequalities. To help with the understanding of the theoretical results, we provide three applied examples at the end.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Journal of Mathematics and Computer Science

ISSN

2008-949X

e-ISSN

2008-949X

Svazek periodika

37

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

IR - Íránská islámská republika

Počet stran výsledku

26

Strana od-do

106-131

Kód UT WoS článku

001318373700001

EID výsledku v databázi Scopus

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