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Fractional Hyperchaotic Telecommunication Systems: A New Paradigm
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The dynamics of hyperchaotic and fractionalorder systems have increasing attracted attention in recent years. In this paper, we mix two complex dynamics to construct a new telecommunication system. Using a hyperchaotic ...
Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper addresses the model, solution, and analysis of fluid flow behavior in fractal reservoirs considering wellbore storage and skin effects (WS–SE). In the light of the fractional calculus (FC), the general form ...
Fractional Order Version of the Hamilton–Jacobi–Bellman Equation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We consider an extension of the well-known Hamilton–Jacobi–Bellman (HJB) equation for fractional order dynamical systems in which a generalized performance index is considered for the related optimal control problem. Owing ...