Subdiffusive fractional equations are not structurally stable with respect to spatial perturbations to the anomalous exponent (Phys. Rev. E 85, 031132 (2012)). The question arises of applicability of these fractional equations to model real world phenomena. To rectify this problem we propose the inclusion of the random death process into the random walk scheme from which we arrive at the modifi...

In this paper, we are interested in the problem of determining source function for Sobolev equation with fractional Laplacian. This is ill-posed sense Hadamard. order to edit instability solution, applied Landweber method. theoretical analysis results, show error estimate between exact solution and regularized by using an a priori regularization parameter choice rule posteriori rule. Finally, i...

The inverse stable subordinator is the first passage time of a standard stable subordinator with index 0 < β < 1. The probability density of the inverse stable subordinator can be used to solve time-fractional Cauchy problems, where the usual first derivative in time is replaced by a Caputo fractional derivative of order β. If the Cauchyproblemgoverns aMarkov process, then the fractional Cauchy...

We consider a time-independent variable coefficients fractional porous medium equation and formulate an associated inverse problem. determine both the conductivity absorption coefficient from exterior partial measurements of Dirichlet-to-Neumann map. Our approach relies on time-integral transform technique as well unique continuation property operator.

in this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modifiedriemann-liouville derivative was obtained with the help of fractional variational iteration method (fvim). a newapplication of fractional variational iteration method (fvim) was extended to derive analytical solutions in theform of a series for this equation. it is indicated that the so...