One of the most enduring points of confl ict in the global political economy is whether international economic rules and regulations should accommodate diversity or encourage harmonization of regulatory institutions. The logic of diff erentiation is that optimal regulatory design diff ers according to national needs and conditions. The logic of harmonization, in contrast, is that the transactio...

1. Introdu tion. There are plenty of appli ation papers in whi h kernels or radial basis fun tions are su essfully used for solving partial di erential equations by meshless methods. The usage of kernels is typi ally based on spatial interpolation at s attered lo ations, writing the trial fun tions entirely in terms of nodes [2℄. For stationary partial di erential equations, the dis retization ...

in this paper, we establish the existence and uniqueness result of the linear schrodinger equation with marchaud fractional derivative in colombeau generalized algebra. the purpose of introducing marchaud fractional derivative is regularizing it in colombeau sense.

Under appropriate assumptions, it is shown that there is a di eomorphism that transforms solutions of the implicit di erential equation

We consider the parabolic approximation to the three{dimensional Helmholtz equation for the acoustic pressure. The parabolic equation is semi{discretized in the range variable using an implicit scheme (e.g., Crank{Nicolson). This leads to a complex elliptic partial di erential equation that must be solved at each range step. We use a multigrid method to solve this partial di erential equation, ...

Steady vortex ows past a circular cylinder are obtained numerically as solutions of the partial di erential equation = f( ). We illustrate several classes of solutions.

The Liouville and first Bogoliubov hierarchy equations with derivatives of noninteger order are derived. The fractional Liouville equation is obtained from the conservation of probability to find a system in a fractional volume element. This equation is used to obtain Bogoliubov hierarchy and fractional kinetic equations with fractional derivatives. Statistical mechanics of fractional generaliz...

In this paper we give an overview on some methods that are useful to solve a class of integrodi erential inverse problems. Precisely, we present some methods to solve integrodi erential inverse problems of parabolic type that are based on the theory of analytic semigroups, optimal regularity results and xed point arguments. A large class of physical models can be treated with this procedure, fo...

In this paper, based on the fractional Riccati equation, we propose an extended fractional Riccati sub-equation method for solving fractional partial differential equations. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. By a proposed variable transformation, certain fractional partial differential equations are turned into fractional ordinary di...

In this paper, a time fractional diffusion equation on a finite domain is con- sidered. The time fractional diffusion equation is obtained from the standard diffusion equation by replacing the first order time derivative by a fractional derivative of order 0 < a< 1 (in the Riemann-Liovill or Caputo sence). In equation that we consider the time fractional derivative is in...