Fractal-fractional derivatives, which are still rather new, are frequently used to look into the
complexities of an issue. Today, tumors are a prevalent and difficult-to-treat condition. The …

Purpose: This study aims to explore the intricate and concealed chaotic structures of
meminductor systems and their applications in applied sciences by utilizing fractal fractional …

In recent years, newly proposed fractal-fractional calculus operators have been used to
predict the chaotic behavior of some attractors, and the new operators can capture self …

The association of cancer and immune cells has complex nature and produces chaotic
behavior when it is simulated. The newly introduced operators which combine the fractal …

In this article, we presents the theoretical and numerical study of the four dimensional
chaotic system which has no equilibrium point in the sense of fractal-fractional Mittag–Leffler …

In this article, we investigate a tumor-immune and antigen-presenting cells population in the
form of a mathematical model. To achieve greater accuracy in understanding the spread of …

The aim of this article is to study the Drinfeld–Sokolov–Wilson equation considered in fractal-
fractional sense with exponential decay and Mittag-Leffler type kernels. The Laplace …

Researchers have recently begun to use fractal fractional operators in the Atangana–
Baleanu sense to analyze complicated dynamics of various models in applied sciences, as …

In this paper, the nonlocal operator with the Mittag-Leffler kernel is used to analyze a TB-HIV
co-infection model with recurrent TB and exogenous reinfection. The non-negative invariant …

In this manuscript, we investigate the nonlinear Boussinesq equation (BEQ) under fractal-
fractional derivatives in the sense of the Caputo–Fabrizio and Atangana–Baleanu operators …