DOI: 10.3390/sym15081583 ISSN:
Ulam–Hyers Stability of Pantograph Hadamard Fractional Stochastic Differential Equations
Omar Kahouli, Saleh Albadran, Ali Aloui, Abdellatif Ben Makhlouf- Physics and Astronomy (miscellaneous)
- General Mathematics
- Chemistry (miscellaneous)
- Computer Science (miscellaneous)
In this article, we investigate the existence and uniqueness Theorem of Pantograph Hadamard fractional stochastic differential equations (PHFSDE) using the fixed-point Theorem of Banach (BFPT). According to the generalized Gronwall inequalities, we prove the stability in the sense of Ulam–Hyers (UHS) of PHFSDE. We give some examples to show the effectiveness of our results.