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Displaying 201 –
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4583
This paper considers a Volterra's population system of fractional order and describes a bi-parametric homotopy analysis method for solving this system. The homotopy method offers a possibility to increase the convergence region of the series solution. Two examples are presented to illustrate the convergence and accuracy of the method to the solution. Further, we define the averaged residual error to show that the obtained results have reasonable accuracy.
This work shows an application of a generalized approach for
constructing dilation-erosion adjunctions on fuzzy sets. More precisely, operations
on fuzzy quantities and fuzzy numbers are considered. By the generalized
approach an analogy with the well known interval computations could
be drawn and thus we can define outer and inner operations on fuzzy objects.
These operations are found to be useful in the control of bioprocesses,
ecology and other domains where data uncertainties exist.* This work...
2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10.
∗Part of the results were reported at the Conference “Pioneers of Bulgarian Mathematics”,
Sofia, 2006.Certain types of weighted Peetre K-functionals are characterized by means
of the classical moduli of smoothness taken on a proper linear
transforms of the function. The weights with power-type asymptotic at the
ends of the interval with arbitrary real exponents are considered. This paper
extends the method and results presented...
We consider the wave equation damped
with a boundary nonlinear velocity feedback p(u').
Under some geometrical conditions, we prove that the energy
of the system decays to zero with an explicit decay rate estimate
even if the function ρ has not a polynomial behavior in zero.
This work extends some results of Nakao, Haraux, Zuazua and Komornik, who studied the case where the feedback has a polynomial behavior in zero and completes a result of Lasiecka and Tataru. The proof is based on the construction...
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