The penalty method for a new system of generalized variational inequalities.
An iterative algorithm of solution for quadratic minimization problem in Hilbert spaces.
Bifurcation analysis on a delayed SIS epidemic model with stage structure.
A new global optimization algorithm for solving generalized geometric programming.
Refinements of inequalities between the sum of squares and the exponential of sum of a nonnegative sequence.
A note on some new refinements of Jensen's inequality for convex functions.
Three mappings related to Chebyshev-type inequalities.
Strong convergence theorems of the Ishikawa process with errors for strictly pseudocontractive mapping of Browder-Petryshyn type in Banach spaces.
A detailed analysis for the fundamental solution of fractional vibration equation
In this paper, we investigate the solution of the fractional vibration equation, where the damping term is characterized by means of the Caputo fractional derivative with the order α satisfying 0 < α < 1 or 1 < α < 2. Detailed analysis for the fundamental solution y(t) is carried out through the Laplace transform and its complex inversion integral formula. We conclude that y(t) is ultimately positive, and ultimately decreases monotonically and approaches zero for the case of 0 < α...
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