The generalized shallow water wave equation is an important mathematical model that is
used to elaborate ocean engineering, weather simulations, tsunami prediction and tidal …

The objective of this article is to investigate the issue of existence results for Hilfer fractional
stochastic differential inclusions of order 1< μ< 2 in Hilbert spaces. Our discussion is based …

In this manuscript, we deal with the nonlocal controllability results for the fractional evolution
system of 1< r< 2 1<r<2 in a Banach space. The main results of this article are tested by …

We investigate the existence and controllability of integral solutions to non-densely defined
Hilfer fractional evolution equations. Our results are established by implementing the …

This article is primarily targeting the approximate controllability of nonlocal Atangana–
Baleanu fractional derivative by Mittag-Leffler kernel to stochastic differential systems. In …

There is considerable literature on solutions to the gas-dynamic equation (GDE) and Fokker–
Planck equation (FPE), where the fractional derivative is expressed in terms of the Caputo …

In this paper, we discuss the optimal feedback control for a system of semilinear neutral
stochastic integrodifferential equations in Hilbert space. Using the fixed-point technique …

The optimal control solutions for Hilfer fractional neutral integrodifferential evolution
equations with infinite delay in Banach space are investigated in this study. To begin, we …

This paper focuses on the existence and approximate controllability of second-order non-
autonomous impulsive stochastic neutral differential systems in Hilbert spaces. First, by …

The existence and uniqueness of solutions to Hilfer fractional neutral delay integro‐
differential equations subject to nonlocal conditions are discussed in this study. The main …