HIV, like many other infections, is a severe and lethal infection. Fractal-fractional operators are frequently used in modeling numerous physical processes the current decade. These provide better dynamics of mathematical model because these generalization integer fractional-order operators. This paper aims to study HIV during primary infection by fractal-fractional Atangana–Baleanu (AB) The su...

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...

In this study, we explore a recent biological model created to analyze the behavior of cancer cells by administering dose drug containing anti-PD-L1 and IL-10 with Caputo Atangana–Baleanu derivative in sense (ABC). Using order examine stability non-linear system, are able demonstrate that it is existent unique, introduce several numeric data obtained for fractional values MATLAB using Adams–Bas...

in this paper, the deformation of a thick-walled circular cylindrical shell of incompressible isotropic elastic material is considered. the shell, which is made of three-term strain energy function is subjected to the combined external and axial loading pressure. in order to obtain the relevant eigenvalues, which is the main objective of the work, the incremental equilibrium equations are so...

In recent decades, AIDS has been one of the main challenges facing medical community around world. Due to large human deaths this disease, researchers have tried study dynamic behaviors infectious factor disease in form mathematical models addition clinical trials. paper, we a new model which dynamics CD4+ T-cells under effect HIV-1 infection are investigated context generalized fractal-fractio...

Abstract In this paper, we consider the existence and stability of singular patterns in a fractional Ginzburg–Landau equation with mean field. We prove three types steady-state (double fronts, single spikes, double spikes) by solving their respective consistency conditions. case small spike solution for sufficiently large spatial period studying an explicit non-local eigenvalue problem which is...