@article{Aly2025, 
author = {Elkhateeb S. Aly and Muhammad Imran Liaqat and Saleh Alshammari and Mahmoud El-Morshedy},
title = {Well-posedness and stability of fractional stochastic integro-differential equations with general memory effects},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {9},
pages = {22265-22293},
keywords = {qualitative analysis, delay term, fractional calculus, stochastic models, existence and uniqueness, stability},
url = {https://www.sciopen.com/article/10.3934/math.2025992},
doi = {10.3934/math.2025992},
abstract = {Most existing research on well-posedness and stability has focused on fractional stochastic differential equations, with relatively fewer studies addressing fractional stochastic integro-differential equations (FSIDEs). In this work, we address this gap by establishing theoretical results on the well-posedness of FSIDEs. In particular, we derive a generalized Grönwall inequality and present results on Ulam-Hyers stability (UHS). Moreover, we extend existing findings by incorporating both the    Φ-Caputo fractional derivative and the        p  th moment, thereby unifying and generalizing current results in the literature.}
}