On Compositions in Equiaffine Space

In an equiaffine space q N E using the connection define with projective tensors na and ma the connections 1 , 2 and 3 . For the spaces N N 1A ,2A and N 3A , with coefficient of connection 1 , 2 and 3 respectively, we proved that the affinor of composition and the projective affinors have equal covariant derivatives. It follows that the connection 3 is equaffine as well, and the connections and 3 are projective to each other. In the case where q N E and N 3A have equal Ricci tensors, we find the fundamental nvector . In [4] compositions with structural affinor a are studied. Space containing compositions with symmetric connection and Weyl connection are studied in [6] and [7] respectively.

On Compositions in Equiaffine Space

In an equiaffine space q N E using the connection define with projective tensors na and ma the connections 1 , 2 and 3 . For the spaces N N 1A ,2A and N 3A , with coefficient of connection 1 , 2 and 3 respectively, we proved that the affinor of composition and the projective affinors have equal covariant derivatives. It follows that the connection 3 is equaffine as well, and the connections and 3 are projective to each other. In the case where q N E and N 3A have equal Ricci tensors, we find the fundamental nvector . In [4] compositions with structural affinor a are studied. Space containing compositions with symmetric connection and Weyl connection are studied in [6] and [7] respectively.

Numerical approximation of a fractional-in-space diffusion equation (II) - with nonhomogeneous boundary conditions

In this paper, a space fractional di®usion equation (SFDE) with non- homogeneous boundary conditions on a bounded domain is considered. A new matrix transfer technique (MTT) for solving the SFDE is proposed. The method is based on a matrix representation of the fractional-in-space operator and the novelty of this approach is that a standard discretisation of the operator leads to a system of linear ODEs with the matrix raised to the same fractional power. Analytic solutions of the SFDE are derived. Finally, some numerical results are given to demonstrate that the MTT is a computationally e±cient and accurate method for solving SFDE.