Jaradat, ImadAlquran, MarwanYousef, FerasMomani, ShaherBaleanu, DumitruMatematik2024-04-292024-04-292019Jaradat, Imad;...et.al. (2019). "On (2 + 1)-dimensional physical models endowed with decoupled spatial and temporal memory indices⋆", European Physical Journal Plus, Vol.134, No.7.2190-5444https://doi.org/10.1140/epjp/i2019-12769-8Yousef, Feras/0000-0003-2740-7081; Alquran, Marwan/0000-0003-3901-9270; Jaradat, Imad/0000-0002-5880-1121.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 (alpha,beta) -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 (alpha,beta) -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 (alpha,beta) -models are solved and the presence of remnant memory, due to the fractional derivatives, is graphically illustrated.eninfo:eu-repo/semantics/closedAccessArticle134710.1140/epjp/i2019-12769-82-s2.0-85066153275WOS:000477052200009Q2Q2