A CLASS OF HIGHER FRACTIONAL DIFFERENTIAL EQUATION AND OPTIMAL CONTROL

摘要

In this paper the existence and uniqueness of mild solution of Hilfer fractional differential system with Poisson jump and fractional Brownian motion are discussed using stochastic analysis,compact semigroup theory and fractional calculus. Also, the existence of optimal control pair for the Hilfer fractional control system is discussed by taking general mild assumptions of cost functional.