We consider a one-dimensional fractional diffusion equation: ∂ α t u(x, t) = ∂ ∂x p(x) ∂u ∂x (x, t) , 0 < x < , where 0 < α < 1 and ∂ α t denotes the Caputo derivative in time of order α. We attach the homogeneous Neumann boundary condition at x = 0, and the initial value given by the Dirac delta function. We prove that α and p(x), 0 < x < , are uniquely determined by data u(0, t), 0 < t < T. The uniqueness result is a theoretical background in experimentally determining the order α of many anomalous diffusion phenomena which are important for example in the environmental engineering. The proof is based on the eigenfunction expansion of the weak solution to the initial value/boundary value problem and the Gel'fand-Levitan theory. §1. Introduction. Recently there are many anomalous diffusion phenomena observed which show different aspects from the classical diffusion. For example, Adams and Gelhar [1] pointed that field data in the saturated zone of a highly heterogeneous aquifer are not well simulated by the classical advection-diffusion equation which is based on

Metal‐hinged, organic‐pillared cages accommodate a limited number (n) of π‐stacked molecules in the cavity (see scheme): Discrete n+2 aromatic stacking occurs by the accommodation of n large aromatic guests (n=1–3). Owing to efficient donor–acceptor (D–A) interactions, A–D–A (n=1), A–D–D–A (n=2), and A–D–A–D–A (n=3) stacks are observed, which bring about even–odd‐number effects in the UV/Vis absorption spectra.

In order to extend the appiicability of a coupled reaction model to the hot metal dephosphorization process, evaluation method for unknownparameters was investigated. The following points were clarified.(1 ) Mass transfer coefficient in metal phase was increased in proportion to~~/ ' The quantitative information of the influences of various factors on the mass transfer coefficient in the metal and the slag phase, decarburization rate and equilibrium partition ratio are necessary to solve these equations. By these method, Eqs. (6) and (7) were obtained and In Fig. 4

Metallzentren bilden die Ecken und stabförmige organische Moleküle die Kanten von Käfigen (siehe Schema), die bis zu drei große aromatische Gäste aufnehmen können, zwischen denen π‐Wechselwirkungen auftreten. Wegen der effektiven Donor‐Acceptor(D–A)‐Wechselwirkungen werden folgende Stapelungen beobachtet: A–D–A (n=1), A–D–D–A (n=2) und A–D–A–D–A (n=3). Die Aufnahme einer geraden oder ungeraden Zahl von Gästen wirkt sich auf die UV/Vis‐Spektren aus.

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