METHODS OF MATHEMATICAL DESIGN AND MACHINE AUTHENTICATION OF ANOMALOUS DIFFUSIVE PROCESSES
Abstract
For a class of the abnormal diffusive processes which mathematical models are formalized in the form of variation inequalities in private derivatives, the method of mathematical modeling based on optimizing procedure is offered. Thus the problem of realization of mathematical models of abnormal diffusive processes is reduced to search of a maximum of function of Hamilton defined in space of conditions of studied processes. The method of parametrical identification of mathematical models of abnormal diffusive processes in case of an induction problem definition of research is also offered. The method is reduced to use of optimizing procedure of a method of a projection of a gradient. Possibility of the solution of a problem of parametrical identification, as for linear, and nonlinear mathematical models of abnormal diffusive processes is proved.