Nearly every area of mathematics, natural, social, and engineering now includes research
into finding exact answers to nonlinear fractional differential equations (NFDES). In order to …

This paper is concerned with some features of the modified Caputo-type Mittag-Leffler
fractional derivative operator and its associated fractional integral operator. Mainly, new …

The main focus of this paper is centered around approximate controllability results of
Atangana–Baleanu fractional differential systems with infinite delay. Using principles and …

The main focus of this article is to investigate the existence of feedback optimal control for
the neutral fractional evolution systems in Hilbert spaces in the sense of the Caputo …

In this manuscript, we study the averaging principle for a class of neutral fractional stochastic
differential equations. Firstly, the existence and uniqueness of solution are discussed by …

This study focuses on optimal feedback control for stochastic Caputo fractional evolution
systems in separable Hilbert spaces. Initially, we deal with the existence of a mild solution …

This paper aims to provide a systematic approach to investigate the optimal feedback control
systems governed by the fractional neutral evolution system with fixed delay in the sense of …

In this paper, we analyse the approximate controllability of Hilfer fractional stochastic
differential systems of order 1< μ< 2 in Hilbert spaces. The primary findings are carried out …

The study examines sufficient conditions for the stochastic controllability of a partially
observed semilinear fractional-order stochastic control system. Employing the separation …

In this paper, we explore the approximative controllability of fractional stochastic differential
inclusions (SDIs) of Sobolev-type with fractional derivatives in Atangana-Baleanu (AB) …