The investigation of this research article is the development of studying the dynamical
behavior of the drinking population through the fractional drinking model in the sense of …

Fractional calculus gets more attention in applied and pure science from the last two decay
due to their valuable contribution. Due to extensive applications of fractional derivatives, the …

In this paper, the hyperchaos analysis, optimal control, and synchronization of a
nonautonomous cardiac conduction system are investigated. We mainly analyze, control …

Mathematical biology is one of the interesting research area of applied mathematics that
describes the accurate description of phenomena in biology and related health issues. The …

Abstract Recently, Atangana and Baleanu proposed a derivative with fractional order to
answer some outstanding questions that were posed by many researchers within the field of …

This work suggested a new generalized fractional derivative which is producing different
kinds of singular and nonsingular fractional derivatives based on different types of kernels …

Atangana and Baleanu (AB) in their recent work introduced a new version of fractional
derivatives which uses the generalized Mittag-Leffler function as the non-singular and non …

In this manuscript we propose the discrete versions for the recently introduced fractional
derivatives with nonsingular Mittag-Leffler function. The properties of such fractional …

The Atangana–Baleanu derivative and the Laguerre polynomial are used in this analysis to
define a new computational technique for solving fractional differential equations. To serve …

Abstract In 2015 Caputo and Fabrizio suggested a new operator with fractional order, this
derivative is based on the exponential kernel. Earlier this year 2016 Atangana and Baleanu …