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

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dc.contributor.authorLiaqat, Muhammad Imran
dc.contributor.authorDin, Fahim Ud
dc.contributor.authorAkgul, Ali
dc.contributor.authorRiaz, Muhammad Bilal
dc.date.accessioned2024-12-24T19:30:38Z
dc.date.available2024-12-24T19:30:38Z
dc.date.issued2025
dc.departmentSiirt Üniversitesi
dc.description.abstractImportant 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.
dc.description.sponsorshipMinistry of Education, Youth and Sports of the Czech Republic [90254]
dc.description.sponsorshipThe Author Muhammad Bilal Riaz is highly obliged to Ministry of Education, Youth and Sports of the Czech Republic for their support through the e -INFRA CZ (ID:90254) .
dc.identifier.doi10.22436/jmcs.037.01.08
dc.identifier.endpage131
dc.identifier.issn2008-949X
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85208445153
dc.identifier.scopusqualityQ1
dc.identifier.startpage106
dc.identifier.urihttps://doi.org/10.22436/jmcs.037.01.08
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7619
dc.identifier.volume37
dc.identifier.wosWOS:001318373700001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherInt Scientific Research Publications
dc.relation.ispartofJournal of Mathematics and Computer Science-Jmcs
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectPantograph problem
dc.subjectexistence and uniqueness
dc.subjectcontinuous dependency
dc.subjectregularity
dc.subjectaveraging principle
dc.subjectconformable fractional derivative
dc.titleSome important results for the conformable fractional stochastic pantograph differential equations in the Lp space
dc.typeArticle

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