The main focus of this paper is to develop an efficient analytical method obtain the traveling wave fuzzy solution for generalized Hukuhara conformable fractional equations by considering type differentiability solution. To achieve this, derivative based on defined, and several properties are brought topic, such as switching points chain rule. After that, a new applied find exact solutions two ...

• Banach-Alaoglu: compactness of polars • Variant Banach-Steinhaus/uniform boundedness • Second polars • Weak boundedness implies boundedness • Weak-to-strong differentiability The comparison of weak and strong differentiability is due to Grothendieck, although the original sources are not widely available.

Recent work in the areas of nonparametric regression and spatial smoothing has focused on modelling functions of inhomogeneous smoothness. In the regression literature, important progress has been made in fitting free-knot spline models in a Bayesian context, with knots automatically being placed more densely in regions of the covariate space in which the function varies more quickly. In the sp...

in this paper, the (m+1)-step adams-bashforth, adams-moulton, and predictor-correctormethods are used to solve rst-order linear fuzzy ordinary dierential equations. the conceptsof fuzzy interpolation and generalised strongly dierentiability are used, to obtaingeneral algorithms. each of these algorithms has advantages over current methods. moreover,for each algorithm a convergence formula can b...

New elements of calculus on a complete real closed non-Archimedean field extension F of the real numbers R will be presented. It is known that the total disconnectedness of F in the topology induced by the order makes the usual (topological) notions of continuity and differentiability too weak to extend real calculus results to F . In this paper, we introduce new stronger concepts of continuity...

The theory of scale relativity provides a new insight into the origin of fundamental laws in physics. Its application to microphysics allows us to recover quantum mechanics as mechanics on a non-differentiable (fractal) spacetime. The Schrödinger and Klein–Gordon equations are demonstrated as geodesic equations in this framework. A development of the intrinsic properties of this theory, using t...

Continuous-time linear programming was first introduced by Bellman [1] in the treatment of production and inventory “bottleneck” problems. He formulated the dual problem, established a weak duality theorem and described sufficient optimality conditions. Tyndall [12] extended Bellman’s theory and obtained existence and duality theorems for a class of continuous linear programming problem. Levins...

We study Lipschitz differentiability spaces, a class of metric measure spaces introduced by Cheeger in [8]. We show that if an Ahlfors regular Lipschitz differentiability space has charts of maximal dimension, then, at almost every point, all its tangents are uniformly rectifiable. In particular, at almost every point, such a space admits a tangent that is isometric to a finite-dimensional Bana...