An Analytical Study of (2+1)-Dimensional Physical Models Embedded Entirely in Fractal Space
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Date
2019
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Editura Academiei Romane
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Abstract
In 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.
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Memory Index (Fractional Derivative), Fractional Partial Differential Equations, Solutions in Closed Form
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Alquran, Marwan...et al. (2019). "An Analytical Study of (2+1)-Dimensional Physical Models Embedded Entirely in Fractal Space", Romanian Journal of Physics, Vol. 64.
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Romanian Journal of Physics
Volume
64