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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

With the current raised issues on the new conformable fractional derivative having satisfied the Leibniz rule for derivatives which was proved not to be so for a differential operator to be fractional among others; we in the present article consider the fractional heat diffusion models featuring fractional order derivatives in both the Caputo’s and the new conformable derivatives to further investigate this development by analyzing two solutions. A comparative analysis of the temperature distributions obtained in both cases will be established. The Laplace transform in conjunction with the well-known decomposition method by Adomian is employed. Finally, some graphical representations and tables for comparisons are provided together with comprehensive remarks.

Analysing the fractional heat diffusion equation solution in comparison with the new fractional derivative by decomposition method