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On (2 + 1)-dimensional physical models endowed with decoupled spatial and temporal memory indices

Imad Jaradat, Marwan Alquran, Feras Yousef, , Dumitru Baleanu
Published in Springer
2019
Volume: 134
   
Issue: 7
Abstract

The current work concerns the development of an analytical scheme to handle (2 + 1) -dimensional partial differential equations endowed with decoupled spatial and temporal fractional derivatives (abbreviated by (α,β)(α,β) -models). For this purpose, a new bivariate fractional power series expansion has been integrated with the differential transform scheme. The mechanism of the submitted scheme depends mainly on converting the (α,β)(α,β) -model to a recurrence-differential equation that can be easily solved by virtue of an iterative procedure. This, in turn, reduces the computational cost of the Taylor power series method and consequently introduces a significant refinement for solving such hybrid models. To elucidate the novelty and efficiency of the proposed scheme, several (α,β)(α,β) -models are solved and the presence of remnant memory, due to the fractional derivatives, is graphically illustrated.

About the journal
JournalData powered by TypesetThe European Physical Journal Plus
PublisherData powered by TypesetSpringer
ISSN21905444
Open AccessNo