In the present paper, we investigate the controllability, observability and fractional linear-
quadratic problem of a non-homogeneous continuous-time fractional dynamical system (CF …

In the present paper, we investigate the controllability, and observability of a non-
homogeneous continuous-time fractal dynamical system (NC-TFDS). We show that the …

In this paper, the solution methodology of higher-order linear fractional partial deferential
equations (FPDEs) as mentioned in eqs and below in Caputo definition relies on a new …

The fractional derivative (FD) has recently captured the minds of scientists. The most
common are Riemann-Liouville (RL) and Caputo (C). These fractional derivatives have …

The current paper discusses the controllability of systems governed by infinite-dimensional
linear and semilinear conformable differential equations. By stating conformable …

In this paper, we propose a symplectic and bi-Hamiltonian structure to a generalized (3+ 1)-
dimensional Plebański's second heavenly (SH) equation by using a conformable fractional …

Researchers have explored the concept of “practical stability” in the literature, pointing out
that stability investigations always guarantee “practical stability” and the inverse is not true …

Modeling dynamical systems with real-life data having time-dependent disturbances is
better captured with time-varying systems. The qualitative properties of such a system in a …

This paper deals with generalised Caputo fractional proportional linear time-invariant
systems in a finite-dimensional space. The Laplace transformation method ensures the …

This research delves into the utilization of the matrix measure approach (MMA) for the
synchronization of fractional order neural networks (FONNs) incorporating time delays. This …