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In this paper, we investigate the existence of positive
solutions for a class of nonlinear q-fractional
boundary value problem. By using some fixed point theorems on cone, some
existence results of positive solutions are obtained.
The calcination reaction of limestone is
always companied by sintering of the calcined product. In addition, accelerated
sintering rates and a reduced specific surface area are observed in the presence
of steam and carbon dioxide. To simulate the change of surface area and the porosity
of limestone samples in a simultaneous calcination and sintering process, a
combined model based on both a sintering model and a calcination model is
established. The calcination model, which predicts calcination conversion as a
function of time, is based on the initial properties of the sorbent. The
sintering model is according to the German and Munir model in which the main
transport mechanism is supposed to be lattice diffusion. In a flow reactor, the
surface area value and calcination rate of limestone in the presence of steam
and CO2 are also described by the combined model with modified parameters.
In the paper, we take up a
new method to prove a result of value distribution of meromorphic functions:
let f be a meromorphic function in , and let , where P is a polynomial. Suppose that all zeros
of f have multiplicity at least , except possibly finite many, and as . Then has infinitely many zeros.