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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Some important results for the conformable fractional stochastic pantograph differential equations in the Lp space
Original language description
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's, Gronwall-Bellman's, Holder's, and BurkholderDavis-Gundy's inequalities. To help with the understanding of the theoretical results, we provide three applied examples at the end.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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