Variable-order fractional operators were conceived and mathematically formalized only in
recent years. The possibility of formulating evolutionary governing equations has led to the …

Fractal calculus is very simple but extremely effective to deal with phenomena in hierarchical
or porous media. Its operation is almost same with that by the advanced calculus, making it …

This article aims to introduce and analyze a diabetes mellitus model of fractional order,
utilizing the ABC derivative. Diabetes mellitus is a prevalent and significant disease …

The work is intended to summarize the recent progress in the work of fractal theory in
packaging material to provide important insights into applied research on fractal in …

This article deals with a fractional extension of Biswas–Milovic (BM) model having Kerr and
parabolic law nonlinearities. The BM model plays a key role in describing the long-distance …

In this article, by popularization of the reproducing kernel Hilbert space method in the sense
of the Atangana–Baleanu fractional operator; set of first-order integrodifferential equations …

This paper proposes a novel adaptive super-twisting fractional-order nonsingular terminal
sliding mode (AST–FONTSM) control scheme using time delay estimation (TDE) for the …

The aim of this paper is to develop an accurate discretization technique to solve a class of
variable-order fractional (VOF) reaction-diffusion problems. In the spatial direction, the …

One of the important classes of coupled systems of algebraic, differential and fractional
differential equations (CSADFDEs) is fractional differential algebraic equations (FDAEs) …

Variable-order differential operators can be employed as a powerful tool to modeling
nonlinear fractional differential equations and chaotical systems. In this paper, we propose a …