Alquran, MarwanJaradat, ImadBaleanu, DumitruAbdel-Muhsen, Ruwa2023-02-142023-02-142019Alquran, Marwan...et al. (2019). "AN ANALYTICAL STUDY OF (2+1)-DIMENSIONAL PHYSICAL MODELS EMBEDDED ENTIRELY IN FRACTAL SPACE", Romanian Journal of Physics, Vol. 64, No. 1-2.1221-146Xhttp://hdl.handle.net/20.500.12416/6226In 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 FormArticle641-2