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A new equivalence of Stefan’s problems for the time fractional diffusion equation
(Springer, 2014-06)
A fractional Stefan’s problem with a boundary convective condition is solved, where the fractional derivative of order α ∈ (0, 1) is taken in the Caputo sense. Then an equivalence with other two fractional Stefan’s problems ...
Fractional adaptive control for an automatic voltage regulator
(Elsevier, 2013)
Physical and morphological characteristics of the first three jets of pêga jackasses sperm-rich fraction
(2016-01-01)
The first three jets of the sperm-rich fraction of Pêga jackasses were collected and assessed separately. Five fertile Pêga jackasses were used as semen donors and underwent fractionated semen collection, using an open ...
Converse theorems in Lyapunov's second method and applications for fractional order systems
(TUBITAK, 2019)
We establish a characterization of the Lyapunov and Mittag-Leffler stability through (fractional) Lyapunov functions, by proving converse theorems for Caputo fractional order systems. A hierarchy for the Mittag-Leffler ...
The fractional discrete nonlinear Schrodinger equation
(Elsevier, 2020)
We examine a fractional version of the discrete nonlinear Schrodinger (dnls) equation, where the usual discrete laplacian is replaced by a fractional discrete laplacian. This leads to the replacement of the usual ...
Characterizations of the boundedness of generalized fractional maximal functions and related operators in Orlicz spaces
(Wiley VCH Verlag, 2017-01)
Given 0 <α< n and a Young function η, we consider the generalized fractional maximal operator Mα,η defined by Mα,η f (x) = sup Bx |B| α/n || f ||η,B, where the supremum is taken over every ball B contained in Rn . In this ...