Both mathematics and science exhibit a reciprocally advantageous and close relationship.
The undeniable significance of mathematics in diverse scientific fields, including electrical …

The hazard of global warming is principally caused by a rise in the atmospheric
concentration of carbon dioxide (CO 2). One of the main carbon dioxide sinks is forests. In …

Boundary conditions involving fractional derivatives of unknown functions are more general
and can be used to generalize Dirichlet-or Neumann-type boundary conditions. In this …

This paper aims to derive a new set of sufficient conditions for the existence and
approximate controllability of neutral‐type fractional stochastic integrodifferential inclusions …

Fractional calculus is now used to accurately depict a range of real occurrences because it
can explain the “long-tail memory” phenomena that have been seen through empirical …

This study mainly concerns the controllability of semilinear noninstantaneous impulsive
neutral stochastic differential equations via the Atangana-Baleanu (AB) Caputo fractional …

This paper is concerned with the existence and exact controllability results for a class of
nonlocal stochastic fractional differential equation employed with finite delay in a separable …

In this manuscript, we look at fractional evolution integrodifferential systems with infinite
delay of order r∈(1, 2) with control problems. To begin, we establish the mild solution for the …

In this paper, we study a class of optimal feedback control for a neutral fractional system with
hemivariational inequalities. Initially, we derive some existence results of mild solutions for …

The article deals with the approximate controllability of Atangana–Baleanu semilinear
control systems. The outcomes are derived by applying Gronwall's inequality and Cauchy …