Some important results for the conformable fractional stochastic pantograph differential equations in the Lp space
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Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Int Scientific Research Publications
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Pantograph problem, existence and uniqueness, continuous dependency, regularity, averaging principle, conformable fractional derivative
Kaynak
Journal of Mathematics and Computer Science-Jmcs
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
37
Sayı
1
