A 72-year-old woman had generalized cutaneous nodules and multiple erythematous lesions. A histopathologic examination revealed the infiltration of tumor cells expressing T-cell receptor g (TCRg) into the dermis without epidermotropism or angiocentricity, demonstrating a diagnosis of primary cutaneous g/d T-cell lymphoma (PCGD-TCL) (panels A and B; original magnification 340 and 3400, respectiv...

Various fields of science and engineering deal with dynamical systems that can be described by fractional partial differential equations (FPDE), for example, systems biology, chemistry and biochemistry applications due to anomalous diffusion effects in constrained environments. However, effective numerical methods and numerical analysis for FPDE are still in their infancy. In this paper, we con...

To realize the state estimation of nonlinear continuous-time fractional-order systems, two types cubature Kalman filters are designed to solve problem on initial value influence. For first type filter (CKF), estimated system is also regarded as augmented state, and equation constructed obtain CKF based Grünwald–Letnikov difference. second CKF, hybrid extended-cubature proposed weaken influence ...

In this work, a novel mathematical model of Coronavirus (2019-nCov) with general population mask use modified parameters. The proposed consists fourteen fractional-order nonlinear differential equations. Grünwald-Letnikov approximation is used to approximate the new hybrid fractional operator. Compact finite difference method six order operator developed study model. Stability analysis methods ...

An optimal control problem for the variable-order fractional-integer mathematical model of vaccination Covid 19 is presented in this research, where order derivatives varies during course time interval, becoming fractional or classical when it more favourable. The are defined here using both integral Riemann–Liouville and Caputo derivative. existence, uniqueness, boundedness positivity solution...