English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this work we prove that the time-fractional porous medium equation on thehalf-line with Dirichlet boundary condition has a unique compactly supportedsolution. The approach we make is based on a transformation of the fractionalintegro-differential equation into a nonlinear Volterra integral equation.Then, the shooting method is applied in order to facilitate the analysis of thefree-boundary problem. We further show that there exists an exactly one choiceof initial conditions for which the solution has a zero which guarantees theno-flux condition. Then, our previous considerations imply the unique solutionof the original problem.

Compactly supported solution of the time-fractional porous medium equation on the half-line