In this paper, we investigate a (discretization) Caputo fractional glucose-insulin model qualitatively with incommensurate orders that appear in Bergman's minimal model. After intravenous tolerance testing, the is used to characterize blood insulin and glucose metabolism. We also prove presented possesses existence, uniqueness, non-negative, boundedness solution. proceed systematical studies on...

In this manuscript, we have analyzed a new time non-integer order smoking model endowed with Caputo fractional type derivative operator. The is composed of four compartmental agents various smokers named as potential smoker, Light Smoker and Quit smoker. first attempt about the qualitative study considered problem along existing result derivation unique solution by application fixed point theor...

Assuming that the population remains small, one can truncate at given values of n1 and n2 to yield a finite set of differential equations. For an initial condition, we take the population to be zero, that is, ρ1,1,1,1 = 1 with all other elements of the density matrix set to zero. Eq. A.6 can then be solved numerically (we used the Adams-Moulton-Bashforth procedure) until a steady state is reach...

In this chapter, some real-life model problems that can be formulated as ordinary differential equations (ODEs) are introduced and numerically studied. These models are the variable-order fractional Hodgkin–Huxley model of neuronal excitation (VOFHHM) and other models with the variable-order fractional (VOF) time delay, such as the 4year life cycle of a population of lemmings model, the enzyme ...

In the present study, a design of fractional order mathematical model is presented based on schistosomiasis disease. To observe more accurate performances results, use derivatives in introduce disease executed. The preliminary focused classified as follows: uninfected with schistosomiasis, infected recovered from infection, susceptible snail unafflicted and afflicted this solutions to proposed ...

This paper considers the computational solution of some first order delay differential equations (DDEs) using a class seventh Hybrid Extended Block Adams Moulton Methods (HEBAMM) without application interpolation techniques in evaluating term. The term was evaluated by valid expression sequence. By matrix inversion techniques, discrete schemes proposed method were obtained through its continuou...

In this paper the Benettin-Wolf algorithm to determine all Lyapunov exponents adapted a class of non-commensurate fractional-order systems modeled by Caputo's derivative and corresponding Matlab code are presented. The continues work started in [Danca & Kuznetsov, 2018], where commensurate is given. To integrate extended system, Adams-Bashforth-Moulton for fractional differential equations util...

In this article, we develop a simple mathematical GNU Octave/MATLAB code that is easy to modify for the simulation of models governed by fractional-order differential equations, and resolution optimal control problems through Pontryagin's maximum principle (indirect approach control). For purpose, model respiratory syncytial virus (RSV) infection considered. The an improvement one first propose...

When designing a heat pump evaporator, it is necessary to use correlations that ensure small deviations of the designed and realized process parameters for specific input data. The aim work propose suitable mathematical model physical in tubular evaporator pump. applicability proposed design was evaluated by comparing results obtained from experimental tests with numerical application model. Fo...