The use of real-time applications in the packet networks is setting new requirements for the packet delivery. The current best-eort model in the Internet does not facilitate control over important characteristics such as delay, jitter and packet loss, which is needed for the proper operation of applications with real-time requirements. The main focus during the last years on providing QoS in IP...

This work concerns the study of existence and uniqueness to heat equation with fractional Laplacian dierentiation in extended Colombeau algebra.

A novel theory for cell di erentiation is proposed, based on simulations with interacting arti cial cells which have metabolic networks within, and divide into two when the nal product is accumulated. Results of simulations with coupled chemical networks and division process lead to the following scenario of the di erentiation: Up to some numbers of cells, divisions bring about almost identical...

In this paper, we obtain a sucient condition for boundedness of composition operators betweenweighted spaces of holomorphic functions on the upper half-plane whenever our weights are standardanalytic weights, but they don't necessarily satisfy any growth condition.

in this paper, we establish the existence and uniqueness result of the linear schrodinger equation with marchaud fractional derivative in colombeau generalized algebra. the purpose of introducing marchaud fractional derivative is regularizing it in colombeau sense.

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}, $h$-...

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