In this paper, newly proposed differential and integral operators called the fractal–fractional
derivatives and integrals have been used to predict chaotic behavior of some attractors from …

This research study is conducted with the aim of getting analysis based upon four different
types of frequently used models of ordinary differential equations related to the chickenpox …

This chapter presents an attempt to collate existing data about fractional derivatives with non-
singular kernels conceived by Caputo and Fabrizio in 2015. The idea attracted immediately …

This manuscript deals with fractional differential equations including Caputo–Fabrizio
differential operator. The conditions for existence and uniqueness of solutions of fractional …

Mathematical analysis with the numerical simulation of the newly formulated fractional
version of the Adams-Bashforth method using the Atangana-Baleanu operator which has …

In this article, we examine a fractional-order biological population model with carrying
capacity. The blended homotopy techniques pertaining to the Sumudu transform are utilized …

In the present study, an epidemiological model (MSEIR) of varicella disease outbreak, also
called the chickenpox, among school children in the Shenzhen city of China in 2015 is …

The main goal of this work is to find the solutions of linear and nonlinear fractional
differential equations with the Mittag-Leffler nonsingular kernel. An accurate numerical …

Some physical problems found in nature can follow the power law; others can follow the
Mittag-Leffler law and others the exponential decay law. On the other hand, one can observe …

New approach of fractional derivative with a new local kernel is suggested in this paper. The
kernel introduced in this work is the well-known normal distribution that is a very common …