Cancer is a complex disease, responsible for a significant portion of global deaths. The
increasing prioritisation of know-why over know-how approaches in biological research has …

Fractional derivatives with memory effects have been widely used in image processing. This
study investigates a discrete analogy of tempered fractional calculus on an isolated time …

This study defines a Hadamard fractional sum by use of the time-scale theory. Then ah-
fractional difference is given and fundamental theorems are proved. Initial value problems of …

We present a novel Pharmacokinetic/Pharmacodynamic (PK/PD) model for the induction
phase of anesthesia, incorporating the ψ-Caputo fractional derivative. By employing the …

In this article, the famous mortgage model of economics is investigated by developing a
numerical scheme. The considered model is proposed under the Caputo power law …

We consider positivity, monotonicity, and convexity results for discrete fractional operators
with exponential kernels. Our results cover both the sequential and nonsequential cases …

This study focuses on the analytical and numerical solutions of the convexity analysis for
fractional differences with exponential and Mittag-Leffler kernels involving negative and …

We consider conditions under which the positivity of a fractional difference implies either
positivity, monotonicity, or convexity, and we consider both the non‐sequential and …

A discrete delayed Mittag-Leffler matrix function is developed in this paper. Based on this
function, an explicit formula of the solution of fractional delay difference system (FDDS) is …

One of the most popular methods of controlling dynamical systems is feedback. It can be
used without acquiring detailed knowledge of the underlying system. In this work, we study …