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