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Practical stability of caputo fractional differential equations by lyapunov functions
(Element d.o.o., 2016-01-01)
The practical stability of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov ...
Existence of solutions for an elliptic boundary value problem via a global minimization theorem on hilbert spaces
(Element d.o.o., 2016-01-01)
We present a new global minimization theorem on Hilbert spaces which is different from the one in Hofer [7] using the notion of a nonexpansive potential operator. An example is given to illustrate our result.
New multiplicative higher order dynamic inequalities of opial type
(Element d.o.o., 2016-01-01)
In this paper, we prove some new multiplicative dynamic inequalities of Opial type on a time scale T. The main results will be proved by using Holder's inequality, the chain rule and some basic dynamic inequalities designed ...