In this study, a physical system called the blood ethanol concentration model has been investigated in its fractional (non-integer) order version. The three most commonly used operators with singular (Caputo) and non-singular (Atangana-Baleanu derivative Caputo sense—ABC Caputo-Fabrizio—CF) kernels have to fractionalize model, whereas during process of fractionalization, dimensional consistency for each equations maintained. Laplace transform technique is determine exact solution all cases,...

The research work in this paper attempts to describe the outbreak of Coronavirus Disease 2019 (COVID-19) with help a mathematical model using both Ordinary Differential Equation (ODE) and Fractional Equation. spread disease has been on increase across globe for some time no end sight. used data COVID-19 cases Nigeria numerical simulation which fitted model. We brought consideration asymptomatic symptomatic infected individuals fact that an exposed individual is either sent quarantine first...

Severe acute respiratory syndrome coronavirus 2 (SARS-COV-2) is a novel virus that emerged in China late 2019 and caused pandemic of disease (COVID-19). The epidemic has largely been controlled since March 2020, but continues to inflict severe public health socioeconomic burden other parts the world. One major reasons for China's success fight against effectiveness its care system enlightenment (awareness) programs which play vital role control COVID-19 pandemic. Nigeria currently witnessing...

We propose a new mathematical model to investigate the recent outbreak of coronavirus disease (COVID-19). The is studied qualitatively using stability theory differential equations and basic reproductive number that represents an epidemic indicator obtained from largest eigenvalue next-generation matrix. global asymptotic conditions for free equilibrium are obtained. real COVID-19 incidence data entries 01 July, 2020 14 August, in country Pakistan used parameter estimation thereby getting...

The progression of the still ongoing COVID-19 epidemic must be studied in world differential operators other than those specified with integer-order temporal derivatives, according to scientific studies fields fractional calculus, mathematical modeling, and epidemiology. Infectious diseases leave behind a historical footprint because their long memory. With this mind, article below makes an effort probe epidemiological model using Caputo operator singular kernel power-law type. ability...

In the present study, fractional version with respect to Atangana-Baleanu derivative operator in caputo sense (ABC) of two-strain epidemic mathematical model involving two vaccinations has extensively been analyzed. Furthermore, using fixed-point theory, it shown that solution proposed does not only exist but is also unique under some conditions. The original consists six first order nonlinear ordinary differential equations, thereby requiring a numerical treatment for getting physical...

In this paper, a new generalized exponential rational function method is employed to extract solitary wave solutions for the Zakharov–Kuznetsov equation (ZKE). The ZKE exhibits behavior of weakly nonlinear ion-acoustic waves in incorporated hot isothermal electrons and cold ions presence uniform magnetic field. Furthermore, stability governing equations investigated via aspect linear analysis. Numerical simulations are made shed light on characteristics obtained solutions.

One of the control measures available that are believed to be most reliable methods curbing spread coronavirus at moment if they were successfully applied is lockdown. In this paper a mathematical model fractional order constructed study significance lockdown in mitigating virus spread. The consists system five nonlinear fractional-order differential equations Caputo sense. addition, existence and uniqueness solutions for under examined via well-known Schauder Banach fixed theorems...

This research obtains some new optical soliton solutions with beta derivative for Chen-Lee-Liu equation (CLL) in fibers. Three integration schemes which are Ricatti-Bernoulli (RB) sub-ODE, generalized Bernoulli (GB) sub-ODE and tanh (GT) methods applied to reach such solutions. The constraints conditions the existence of reported. obtained using newly introduced fractional called derivative. Numerical simulations illustrated.

The main concern of the present article is to study generalized (2+1)-dimensional Camassa–Holm–Kadomtsev–Petviashvili equation describing dispersion role in formation patterns liquid drops. To this end, a series different wave structures including lump solutions, one-soliton, double-soliton, and triple-soliton solutions are formally retrieved through ansatz (positive quadratic exponential functions) technique. Furthermore, stability analysis for governing model explored systematic manner.

Fractional order differential equations are utilized for modeling many complicated physical and natural phenomena in nonlinear sciences related fields. In this manuscript, the fractional Schrödinger-KdV equation sense of Atangana-Baleanu derivative is investigated. The demonstrates various types wave propagation such as Langmuir wave, dust-acoustic electromagnetic waves plasma physics. Using fixed-point theorem, existence uniqueness to solution studied model established. modified Laplace...

In our research work, we develop the analysis of a noninteger-order model for hepatitis B (HBV) under singular type Caputo fractional-order derivative. We investigated proposed system an approximate or semi-analytical solution using Laplace transform along with decomposition techniques by Adomian polynomial nonlinear terms and some perturbation Homotopy (HPM). The obtained solutions have been compared each other against real data simulation via MATLAB. graphical in fractional form shows...

The whole world is still shaken by the new corona virus and many countries are starting opting for lockdown again after first wave that already killed thousands of people. New observations also show spreads quickly during cold period closer to winter season. On other side, number infections decreases considerably hot summer time. geographic structure our planet such when some (in a hemisphere) in their season, others hemisphere However, we have observed undertaking national time, which...