Background and objective: Hepatitis virus infections are affecting millions of people
worldwide, causing death, disability, and considerable expenditure. Chronic infection with …

Based on the Caputo fractional-order derivative, this work investigates the dynamics of a
newly developed co-infection model of Human immunodeficiency virus (HIV) and Hepatitis …

In the present case, we propose the correct version of the fractional Adams-Bashforth
methods which take into account the nonlinearity of the kernels including the power law for …

In this paper, an investigation and analysis of a nonlinear fractional-order SIR epidemic
model with Crowley–Martin type functional response and Holling type-II treatment rate are …

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 paper, we propose and analyze a fractional order model of viral kinetics for primary
infection of HIV-1 in presence of immune control with treatment, as the classical model of …

By mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative,
we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio …

This article presents a comprehensive literature survey on fractional-order optimal control
problems. Fractional-order differential equation is extensively used nowadays to model real …

In this paper, we examine a modified auxiliary equation method. We applied this novel
method on Wu-Zhang system. This model used to describe (1+ 1)-dimensional dispersive …

In this study, some modeling problems, Newton,'s law of cooling, population growth, logistic
equation, blood alcohol model, are considered by Atangana–Baleanu fractional derivative …