Existence of Hilfer Fractional Stochastic Differential Equations with Nonlocal Conditions and Delay via Almost Sectorial Operators

In this article, we examine the existence of Hilfer fractional (HF) stochastic differential systems with nonlocal conditions and delay via almost sectorial operators. The major methods depend on the semigroup of operators method and the Monch fixed-point technique via the measure of noncompactness, and the fundamental theory of fractional calculus. Finally, to clarify our key points, we provide an application.

Automated summary

In this article, the existence of Hilfer fractional (HF) stochastic differential systems with nonlocal conditions and delay is examined using almost sectorial operators. The major methods used are the semigroup of operators method, the Monch fixed-point technique via the measure of noncompactness, and the fundamental theory of fractional calculus. Finally, an application is provided to clarify the key points.