A Pohozaev identity for the fractional Hénon system
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-017-6556-x
Abstract: AbstractIn this paper, we study the Pohozaev identity associated with a H´enon–Lane–Emden system involving the fractional Laplacian: $$\left\{ {\begin{array}{*{20}{c}} {{{\left( { - \Delta } \right)}^s}u = {{\left| x \right|}^a}{v^p},}&{x \in \Omega ,} \\ {{{\left( {… read more here.
Keywords: non system; identity fractional; pohozaev identity; identity ... See more keywords
Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0534-5
Abstract: In this paper, we study the topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions on a compact interval. We show that the solution set for our problem is nonempty, compact and… read more here.
Keywords: solution set; set fractional; structure solution; topological structure ... See more keywords
Linear and non-linear free vibration of nano beams based on a new fractional non-local theory
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DOI: 10.1108/ec-07-2016-0262
Abstract: Purpose Recently, a new formulation has been introduced for non-local mechanics in terms of fractional calculus. Fractional calculus is a branch of mathematical analysis that studies the differential operators of an arbitrary (real or complex)… read more here.
Keywords: non local; local theory; theory; linear non ... See more keywords
Fractional and Non‐Fractional Picosecond Nd:YAG Lasers Combined With Fractional Picosecond KTP Laser for the Treatment of Melasma in Female Chinese
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DOI: 10.1111/srt.70177
Abstract: Melasma is a chronic pigmented lesion on the face that is challenging to treat. Single laser treatments are usually ineffective. Recently, picosecond lasers are becoming an emerging option for the treatment of melasma. This study… read more here.
Keywords: laser; fractional non; non fractional; treatment melasma ... See more keywords