Existence, uniqueness and averaging principle for fractional Dirichlet boundary value problems driven by Rosenblatt process and Lévy jumps

We address the existence, uniqueness, and averaging principle for Caputo–Hadamard fractional dynamic systems with Dirichlet boundary conditions driven by Rosenblatt process and pure Lévy jumps. First, Lemma 4 establishes the equivalent integral equation representation of our system. Using this foun...

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Bibliografische Detailangaben

Hauptverfasser:	Jalisraj Arokiyanathan, Ramalingam Udhayakumar
Format:	Artigo
Sprache:	Inglês
Veröffentlicht:	Vilnius University Press 2026-04-01
Schriftenreihe:	Nonlinear Analysis
Schlagworte:	Caputo–Hadamard derivative stochastic differential equation averaging principle Lévy jumps Rosenblatt process
Online-Zugang:	https://www.journals.vu.lt/nonlinear-analysis/article/view/46362
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