Weighted pseudo
 S
 -asymptotically (
 ω, c
 )-periodic solutions to fractional stochastic differential equations

Kostić, Marko; Koyuncuoğlu, Halis Can; Velinov, Daniel

doi:DOI: 10.1515/ms-2025-0092

Weighted pseudo S -asymptotically ( ω, c )-periodic solutions to fractional stochastic differential equations

Journal

Mathematica Slovaca

Date Issued

2025-10-01

Author(s)

Kostić, Marko

Koyuncuoğlu, Halis Can

DOI

DOI: 10.1515/ms-2025-0092

Abstract

In this paper, we analyze the existence and uniqueness of Stepanov-like weighted pseudo $S$-asymptotically $(\omega,c)$-periodic solutions for a class of fractional stochastic differential equations. We clarify the sufficient conditions ensuring the existence of mild solutions and explore their stability properties. The new existence and uniqueness results are provided and an illustrative example is presented to demonstrate the applicability of the established theoretical findings.

Weighted pseudo <i>S</i> -asymptotically ( <i>ω, c</i> )-periodic solutions to fractional stochastic differential equations