Alquran, MarwanJaradat, ImadBaleanu, DumitruAbdel-Muhsen, Ruwa2020-03-162020-03-162019Alquran, Marwan...et al. (2019). "An Analytical Study of (2+1)-Dimensional Physical Models Embedded Entirely in Fractal Space", Romanian Journal of Physics, Vol. 64.1221-146Xhttp://hdl.handle.net/20.500.12416/2638In this article, we analytically furnish the solution of (2 + 1)-dimensional fractional differential equations, with distinct fractal-memory indices in all coordinates, as a trivariate (alpha, beta, gamma)-fractional power series representation. The method is tested on several physical models with inherited memories. Moreover, a version of Taylor's theorem in fractal three-dimensional space is presented. As a special case, the solutions of the corresponding integer-order cases are extracted by letting alpha, beta, gamma -> 1, which indicates to some extent for a sequential memory.eninfo:eu-repo/semantics/closedAccessMemory Index (Fractional Derivative)Fractional Partial Differential EquationsSolutions in Closed FormArticle64