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An avant-garde handling of temporal-spatial fractional physical models via (alpha, beta) -differential transform schema

Imad Jaradat, Marwan Alquran, Qutaibeh Katatbeh, Feras Yousef, , Dumitru Baleanu
Published in De Gruyter
2019
Volume: 21
   
Issue: 2
Pages: 183 - 194
Abstract

In the present study, we dilate the differential transform scheme to develop a reliable scheme for studying analytically the mutual impact of temporal and spatial fractional derivatives in Caputo's sense. We also provide a mathematical framework for the transformed equations of some fundamental functional forms in fractal 2-dimensional space. To demonstrate the effectiveness of our proposed scheme, we first provide an elegant scheme to estimate the (mixed-higher) Caputo-fractional derivatives , and then we give an analytical treatment for several (non)linear physical case studies in fractal 2-dimensional space. The study concluded that the proposed scheme is very efficacious and convenient in extracting solutions for wide physical applications endowed with two different memory parameters as well as in approximating fractional derivatives.

About the journal
JournalData powered by TypesetInternational Journal of Nonlinear Sciences and Numerical Simulation
PublisherData powered by TypesetDe Gruyter
ISSN15651339
Open AccessNo