نتایج جستجو برای: caputo differentiability

تعداد نتایج: 4400  

Journal: :Math. Oper. Res. 2005
Alexander Shapiro

We discuss in this paper local uniqueness, continuity and differentiability properties of solutions of parameterized variational inequalities (generalized equations). To this end we use two types of techniques. One approach consists in formulating variational inequalities in a form of optimization problems, based on regularized gap functions, and applying a general theory of perturbation analys...

1995
DOMINIKUS NOLL

The differentiability properties of the metric projection Pc on a closed convex set C in Hilbert space are characterized in terms of the smoothness type of the boundary of C. Our approach is based on using variational type second derivatives as a sufficiently flexible tool to describe the boundary struc ture of the set C with regard to the differentiability of Pc. We extend results by R.B. Holm...

2010
Manuel D. Ortigueira Luis rodríguez-Germá Juan J. Trujillo

The formulations of Riemann-Liouville and Caputo derivatives in the complex plane are presented. Two versions corresponding to the whole or half plane. It is shown that they can be obtained from the Grünwald-Letnikov derivative.

2016
Marko Kostić

We investigate, in the setting of sequentially complete locally convex spaces, degenerate multi-term fractional differential equations with Caputo derivatives. The obtained theoretical results are illustrated with some examples.

Journal: :Analysis & PDE 2021

For distributions, we build a theory of higher order pointwise differentiability comprising, for zero, {\L}ojasiewicz's notion point value. Results include Borel regularity differentials, rectifiability the associated jets, Rademacher-Stepanov type theorem, and Lusin approximation. A substantial part this development is new also zeroth order. Moreover, establish Poincar\'e inequality involving ...

2004
O. L. Mangasarian

Various definitions of directional derivatives in topological vector spaces are compared. Directional derivatives in the sense of G~teaux, Fr6chet, and Hadamard are singled out from the general framework of cr-directional differentiability. It is pointed out that, in the case of finite-dimensional spaces and locally Lipschitz mappings, all these concepts of directional differentiability are equ...

2008
Jinshan Li Xiang-Sun Zhang

Abstract In this paper, the concept of generalized saddle point(GSP) is employed to discuss the optimization problems of a set of convex functions on a normed linear space X , which presents an equivalence under a special condition between GSP and its optimum solution. A study on integrated convex optimization problem by using Gâteaux and Fréchet differentiability respectivly, and the equivalen...

2007
Hiroki TANABE H. TANABE

such as was treated in the previous papers [3] and [4]. However, we shall show that we can replace the strong continuous differentiability of A(t)A(s)~ by its Holder continuity by means of a slight change of the proof. It is quite clear that the differentiability of A(t)A(s)~ is not necessary for the construction of the formal fundamental solution U(t, s) of (0. 1'). In the previous papers, how...

2003
Héctor J. Sussmann

The well-known finite-dimensional first-order open mapping theorem says that a continuous map with a finite-dimensional target is open at a point if its differential at that point exists and is surjective. An identical result, due to Graves, is true when the target is infinite-dimensional, if “differentiability” is replaced by “strict differentiability.” We prove general theorems in which the l...

Journal: :Math. Meth. of OR 2015
A. Muzaffer Arslan J. B. G. Frenk Semih Onur Sezer

We consider the single-leg airline revenue management problem in continuous time with Poisson arrivals. Earlier work on this problem generally uses the Hamilton-Jacobi-Bellman equation to find an optimal policy whenever the value function is differentiable and is a solution to this equation. In this paper, we employ a different probabilistic approach, which do not rely on the smoothness of the ...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید