The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …

In recent decades, AIDS has been one of the main challenges facing the medical community
around the world. Due to the large human deaths of this disease, researchers have tried to …

The goal of this research is to develop a novel analytic technique for obtaining the
approximate and exact solutions of the Caputo time-fractional partial differential equations …

The study in this article aims at investigating the chaotic behavior of the 2-D vocal dynamical
system using commensurate and incommensurate fractional order Caputo difference …

Few studies have investigated the existence and uniqueness of solutions for fractional
differential equations on star graphs until now. The published papers on the topic are based …

In this article, we consider a fractal-fractional tobacco mathematical model with generalized
kernels of Mittag-Leffler functions for qualitative and numerical studies. From qualitative …

Colorectal cancer (CRC) poses a significant global public health challenge as its prevalence
continues to increase. This study delves into the intricate dynamics of metastatic CRC by …

Meningitis is an inflammation of the membranes that surround and protect the brain and
spinal cord. Typically, the enlargement is caused by a bacterial or viral infection of the fluid …

In this paper, we derive the sufficient conditions for the existence, uniqueness and Hyers–
Ulam stability of the tempered fractional order thermistor two-point boundary value problem …

Today, with the rapid development of the Internet, improving image security becomes more
and more important. To improve image encryption efficiency, a novel region of interest (ROI) …