The main purpose of this paper is to study the concepts of stability (α-exponentially stable,
asymptotically stable, weakly stable, and uniformly stable) of linear infinite-dimensional …

This study introduces a novel framework based on a combination of block-pulse and
fractional-order Chebyshev functions. The new framework is a generalization of the …

A hybrid of Müntz-Legendre polynomials (MLPs) and block-pulse functions (BPFs) is defined
and carried out to analyze nonlinear fractional optimal control problems consisting of …

This research studies optimal control of a new subclass of variable-order fractional delay
systems whose its order is a piecewise constant function. This category of systems has not …

This research paper presented a novel investigation into an implicit coupled system of
fractional variable order, which has not been previously studied in the existing literature. The …

On the Barbalat lemma extension for the generalized conformable fractional integrals:
Application to adaptive observer design - Ben Makhlouf - 2023 - Asian Journal of Control - Wiley …

In this work, we study the almost sure exponential stability (ASES) and the exponential
stability in p‐th moment (ESPM) of conformable stochastic systems depending on a …

In this paper, some fractional Leindler and Hardy-type inequalities and their reversed will be
proved by using integration by parts and Hölder inequality on conformable fractional …

In this study, we give the stability analysis of a class of nonlinear systems with a generalized
conformable derivative, which guarantees that their solutions converge to a ball centered at …

This paper presents a practical study to verify the concept of non-integer order dynamic
behavior of multi-dimensional soft tissue deformation. The stress-strain relationship of soft …