TY - JOUR
T1 - On Existence and Continuity Results of Solution for Multi-time Scale Fractional Stochastic Differential Equation
AU - Alkhazzan, Abdulwasea
AU - Wang, Jungang
AU - Tunç, Cemil
AU - Ding, Xiaoli
AU - Yuan, Zhanbin
AU - Nie, Yufeng
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2023/6
Y1 - 2023/6
N2 - In this paper, we study four critical aspects of a new class of multi-time scale nonlinear fractional stochastic differential equations with fractional integral in the sense of Riemann Liouville. A primary goal of this paper is to investigate the existence, uniqueness, Ulam-Hyers stability, and continuity of the solutions under sufficient assumptions using the Banach contraction theorem. At the end of the paper, a specific example is provided to demonstrate the efficiency and effectiveness of the new results of this paper.
AB - In this paper, we study four critical aspects of a new class of multi-time scale nonlinear fractional stochastic differential equations with fractional integral in the sense of Riemann Liouville. A primary goal of this paper is to investigate the existence, uniqueness, Ulam-Hyers stability, and continuity of the solutions under sufficient assumptions using the Banach contraction theorem. At the end of the paper, a specific example is provided to demonstrate the efficiency and effectiveness of the new results of this paper.
KW - Continuity of solution
KW - Existence
KW - Riemann Liouville’s fractional integral
KW - Stochastic differential equations
KW - Ulam-Hyers stability
KW - Uniqueness
UR - http://www.scopus.com/inward/record.url?scp=85148096253&partnerID=8YFLogxK
U2 - 10.1007/s12346-023-00750-x
DO - 10.1007/s12346-023-00750-x
M3 - 文章
AN - SCOPUS:85148096253
SN - 1575-5460
VL - 22
JO - Qualitative Theory of Dynamical Systems
JF - Qualitative Theory of Dynamical Systems
IS - 2
M1 - 49
ER -