Existence and stability of solutions of a $\psi$-Hilfer fractional stochastic differential equations with L\'{e}vy Noise

Abstract

The excerpt outlines a study focused on the existence, uniqueness, and stability of solutions for \(\psi\)-Hilfer fractional stochastic differential equations incorporating Lévy noise. The Picard-Lindel\"{o}f successive approximation schema and some results on the stability theory are used for this goal. Examples
are provided to illustrate the theory.