An Analytical Study of (2 + 1)-Dimensional Physical Models Embedded Entirely in Fractal Space

Alquran, M.Baleanu, DumitruJaradat, I.Baleanu, D.Abdel-Muhsen, R.Matematik02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2025-09-232025-09-232019Alquran, M...et al. (2019). "An Analytical Study of (2 + 1)-Dimensional Physical Models Embedded Entirely in Fractal Space", Romanian Journal of Physics, Vol. 64, No. 1-2.1221-146Xhttps://hdl.handle.net/20.500.12416/15257Alquran, Marwan/0000-0003-3901-9270; Abdel Muhsen, Ruwa/0000-0002-5323-4498; Jaradat, Imad/0000-0002-5880-1121In this article, we analytically furnish the solution of (2+1)-dimension-al fractional differential equations, with distinct fractal-memory indices in all coordinates, as a trivariate (α, β, γ)−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 α, β, γ → 1, which indicates to some extent for a sequential memory. © 2019, Editura Academiei Romane. All rights reserved.eninfo:eu-repo/semantics/closedAccessFractional Partial Differential EquationsMemory Index (Fractional Derivative)Solutions In Closed FormAn Analytical Study of (2 + 1)-Dimensional Physical Models Embedded Entirely in Fractal SpaceAn Analytical Study of (2 + 1)-Dimensional Physical Models Embedded Entirely in Fractal SpaceArticle2-s2.0-85062953500