Liaqat, Muhammad ImranDin, Fahim UdAkgul, AliRiaz, Muhammad Bilal2024-12-242024-12-2420252008-949Xhttps://doi.org/10.22436/jmcs.037.01.08https://hdl.handle.net/20.500.12604/7619Important 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.eninfo:eu-repo/semantics/openAccessPantograph problemexistence and uniquenesscontinuous dependencyregularityaveraging principleconformable fractional derivativeArticle371106131N/AWOS:001318373700001Q12-s2.0-8520844515310.22436/jmcs.037.01.08