In this paper we introduce a method to define fractional operators using mean value operators. In particular we discuss a geometric approach in order to construct fractional operators. As a byproduct we define fractional linear operators in Carnot groups, moreover we adapt our technique to define some nonlinear fractional operators associated with the p−Laplace operators in Carnot groups
We define and study the fractional Laplacian and the fractional perimeter of a set in Carnot groups ...
In this paper we study linear fractional relations defined in the following way. Let Hi, H′i, i = 1,...
We prove surface and volume mean value formulas for classical solutions to uniformly elliptic equati...
In this paper we introduce a method to define fractional operators using mean value operators. In pa...
In this paper, the set {N^{ν1 ν2} } of fractional calculus is discussed. It is shown that the set is...
The multivariate Mittag–Leffler function is introduced and used to establish fractional calculus ope...
We design a general type of spherical mean operators and employ them to approximate 'L IND.P' class ...
We establish analogues of the mean value theorem and Taylor's theorem for fractional differential op...
This article introduces some new straightforward and yet powerful formulas in the form of series sol...
In this paper we provide a new numerical method to solve nonlinear fractional differential and integ...
We obtain an asymptotic representation formula for harmonic functions with respect to a linear anis...
In recent years, there has been an enormous effort put in the definition and analysis of fractional ...
In this paper, we continue with the development of the newly Benkhettou–Hassani–Torres fractional (n...
We define and study the fractional Laplacian and the fractional perimeter of a set in Carnot groups ...
Fractional Calculus gives a generalisation of the common techniques of integration and differentiati...
We define and study the fractional Laplacian and the fractional perimeter of a set in Carnot groups ...
In this paper we study linear fractional relations defined in the following way. Let Hi, H′i, i = 1,...
We prove surface and volume mean value formulas for classical solutions to uniformly elliptic equati...
In this paper we introduce a method to define fractional operators using mean value operators. In pa...
In this paper, the set {N^{ν1 ν2} } of fractional calculus is discussed. It is shown that the set is...
The multivariate Mittag–Leffler function is introduced and used to establish fractional calculus ope...
We design a general type of spherical mean operators and employ them to approximate 'L IND.P' class ...
We establish analogues of the mean value theorem and Taylor's theorem for fractional differential op...
This article introduces some new straightforward and yet powerful formulas in the form of series sol...
In this paper we provide a new numerical method to solve nonlinear fractional differential and integ...
We obtain an asymptotic representation formula for harmonic functions with respect to a linear anis...
In recent years, there has been an enormous effort put in the definition and analysis of fractional ...
In this paper, we continue with the development of the newly Benkhettou–Hassani–Torres fractional (n...
We define and study the fractional Laplacian and the fractional perimeter of a set in Carnot groups ...
Fractional Calculus gives a generalisation of the common techniques of integration and differentiati...
We define and study the fractional Laplacian and the fractional perimeter of a set in Carnot groups ...
In this paper we study linear fractional relations defined in the following way. Let Hi, H′i, i = 1,...
We prove surface and volume mean value formulas for classical solutions to uniformly elliptic equati...
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