Sentence examples for Fractional inverse from inspiring English sources

In this paper we build the interpolation error in non-uniformly Jacobi-weighted Sobolev space by constructing fractional inverse inequality.

The authors plan to consider various fractional inverse problems in future studies, since the method discussed has a wide range of applications.

Here, instead of further pursuing research in this direction, we discuss the space fractional inverse diffusion equation, i.e., to determine an unknown source, which depends only on the spatial variable, in the one-dimensional space fractional diffusion equation.

We now list two kernels of regularization methods for solving the time-fractional inverse diffusion problem.

Cheng and Fu [26] gave an iteration regularization method for a time-fractional inverse diffusion problem.

In Section 2, we demonstrate ill-posedness of the time-fractional inverse diffusion problem.

Now, we will apply this regularization strategy to solve a time-fractional inverse diffusion problem and prove that this regularization strategy is feasible.

In this paper, we propose a modified kernel method for solving time-fractional inverse diffusion problem by producing a stable approximation solution.

Zheng and Wei [27, 28] investigated a time-fractional inverse diffusion problem by using a spectral regularization method and a modified equation method.

We show that a time-fractional inverse diffusion problem is severely ill-posed and we further apply a modified kernel method to solve it based on the solution in the frequency domain.

In this paper, we consider a time-fractional inverse diffusion problem, where the data is given at (x=1) and the solution is sought in the interval (0leq x<1).