Baleanu, DumitruJaradat, ImadAlquran, MarwanYousef, FerasMomani, Shaher2020-02-142020-02-142019Jaradat, Imad...et al. (2019). "On (2+1)-dimensional physical models endowed with decoupled spatial and temporal memory indices(star)", European Physical Journal Plus, Vol. 134, No. 7.2190-5444http://hdl.handle.net/20.500.12416/2442The 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/closedAccessDifferential Transform MethodPower-Series MethodFractional CalculusWave-LikeDiffusionEquationsPropagationDerivativesDispersionArticle134710.1140/epjp/i2019-12769-8