Biomathematics has become one of the most significant areas of research as a result of
interdisciplinary study. Chronic diseases sometimes referred to as non-communicable and …

In this paper, we introduce the Yang transform homotopy perturbation method (YTHPM),
which is a novel method. We provide formulae for the Yang transform of Caputo‐Fabrizio …

This paper is about to formulate a design of predator–prey model with constant and time
fractional variable order. The predator and prey act as agents in an ecosystem in this …

This research proposes a mathematical model of cancer treatment with chemotherapy using
a fractal fractional Mittag-Leffler operator with non-integer order. The model is analyzed both …

This paper addresses the dynamics of lung cancer by employing a fractional-order
mathematical model that investigates the combined therapy of surgery and immunotherapy …

The current paper uses the cubic B-spline functions and θ-weighted scheme to achieve
numerical solutions of the time fractional Burgers' equation with Atangana–Baleanu …

A new set of differential and integral operators has recently been proposed by Abdon et al.,
merging the fractional derivative and the fractal derivative, taking into account non-locality …

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 …

This study proposes a modified prey–predator-like model consisting of tumour cells, hunting
T-cells, and resting T-cells to illustrate tumour–immune interaction by incorporating discrete …

Background Cancer, a complex and deadly health concern today, is characterized by
forming potentially malignant tumors or cancer cells. The dynamic interaction between these …