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/

Zendy Plus

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

Zendy Tools

Zendy Open

This paper intends on obtaining the explicit solution of $n$-dimensionalanomalous diffusion equation in the infinite domain with non-zero initialcondition and vanishing condition at infinity. It is shown that this equationcan be derived from the parabolic integro-differential equation with memory inwhich the kernel is $t^{-\alpha}E_{1-\alpha,1-\alpha}(-t^{1-\alpha}),\alpha\in(0, 1),$ where $E_{\alpha, \beta}$ is theMittag-Liffler function. Based on Laplace and Fourier transforms the propertiesof the Fox H-function and convolution theorem, explicit solution for anomalousdiffusion equation is obtained.

The explicit formula for solution of anomalous diffusion equation in the multi-dimensional space