Weighted pseudo \(S\)-asymptotically Bloch type periodic solutions for a class of mean field stochastic fractional evolution equations

Mamadou Moustapha Mbaye; Amadou Diop; Moustapha Dieye

doi:10.26637/mjm1104/005

Abstract

This paper concerns a class of mean-field stochastic fractional evolution equations. Initially, we establish some auxiliary results for weighted pseudo \(S\)-asymptotically Bloch type periodic stochastic processes. Without a compactness assumption on the resolvent operator and some additional conditions on forced terms, the existence and uniqueness of weighted pseudo \(S\)-asymptotically Bloch type periodic mild solutions on the real line of the referred equation are obtained. In addition, we show the existence of weighted pseudo \(S\)-asymptotically Bloch type periodic mild solutions with sublinear growth assumptions on the drift term and compactness conditions. Finally, an example is provided to verify the main outcomes.

Keywords:

Stochastic processes, stochastic fractional evolution equations, asymptotically Bloch type periodicity, Brownian motion, distribution, Mean field

Mathematics Subject Classification:

30D45, 34C25, 60H15, 60G22

Authors Imprint References Funding Related Articles Downloads

Mamadou Moustapha Mbaye D´ epartement de Math´ ematiques, Facult´ e des Sciences et Technique, Universit´ e Cheikh Anta Diop, BP-5005, Dakar-Fann, Senegal https://orcid.org/0009-0005-3011-5129
Amadou Diop Laboratory of Numerical Analysis and Computer Science, Applied Mathematics Section, Gaston Berger University , Saint-Louis, Senegal.
Moustapha Dieye ´ Ecole Polytechnique de Thi´ es, D´ epartement Tronc commun, Thi´ es BP A10, S´ en´ egal.

Pages: 378-402
Date Published: 01-10-2023
Vol. 11 No. 04 (2023): Malaya Journal of Matematik (MJM)

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