Recently, it has become critical to attempt to recognize diseases with high death rates
around the world like infectious diseases and cancer. As a result, modeling in mathematics …

Coronaviruses are a large family of viruses that cause different symptoms, from mild cold to
severe respiratory distress, and they can be seen in different types of animals such as …

In the present paper, we implement a novel numerical method for solving differential
equations with fractional variable-order in the Caputo sense to research the dynamics of a …

Fractional calculus dates its inception to a correspondence between Leibniz and L'Hopital in
1695, when Leibniz described “paradoxes” and predicted that “one day useful …

In this paper, we investigate the approximate controllability results of Atangana-Baleanu
fractional neutral stochastic systems with infinite delay. Using principles and ideas from …

A new strategy exploiting together the modified Riemann–Liouville fractional derivative rule
and two kinds of fractional dual-function methods with the Mittag–Leffler function is …

In this article, we consider integro-differential equations involving the recently explored
Atangana–Baleanu fractional derivatives which contain the generalized Mittag-Leffler …

In this paper we consider multi variable orders differential equations (MVODEs) with non-
local and no-singular kernel. The derivative is described in Atangana and Baleanu sense of …

In this work, a fractional predator-prey model with the harvesting rate is considered. Besides
the existence and uniqueness of the solution to the model, local stability and global stability …

In this paper, we investigate novel solutions of fractional‐order option pricing models and
their fundamental mathematical analyses. The main novelties of the paper are the analysis …