Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives
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DOI: 10.1186/s13662-017-1388-7
Abstract: In this paper, we study the necessary and sufficient optimality conditions for problems of the fractional calculus of variations with a Lagrange function depending on a Caputo-Fabrizio fractional derivative. The new kernel of Caputo-Fabrizio fractional… read more here.
Keywords: optimality conditions; caputo fabrizio; conditions fractional; fractional variational ... See more keywords
Mixed-Norm Amalgam Spaces and Their Predual
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DOI: 10.3390/sym14010074
Abstract: In this paper, we introduce mixed-norm amalgam spaces (Lp→,Ls→)α(Rn) and prove the boundedness of maximal function. Then, the dilation argument obtains the necessary and sufficient conditions of fractional integral operators’ boundedness. Furthermore, the strong estimates… read more here.
Keywords: conditions fractional; mixed norm; norm amalgam; norm ... See more keywords