On the (N+1)‐dimensional local fractional reduced differential transform method and its applications
Jian‐Gen Liu, Xiao‐Jun Yang, Yi‐Ying Feng, Ping Cui
Abstract
In this paper, we generalize the (N+1)‐dimensional local fractional reduced differential transform method (LFRDTM) within the local fractional derivative sense. First, we show some new properties, lemmas, theorems and corollariesfor the (N+1)‐dimensional LFRDTM. Second, these new properties, lemmas and theorems can be proved immediately after. Thirdly, we used two examples to state that this approach is efficient and simple to find numerical solutions to higher dimensional local fractional partial differential equations. Finally, we can be seen that this work can be looked as an extension of the prior work.
Topics & Concepts
MathematicsFractional calculusExtension (predicate logic)Work (physics)Derivative (finance)Applied mathematicsPartial differential equationState (computer science)Mathematical analysisAlgorithmComputer scienceEconomicsProgramming languageFinancial economicsEngineeringMechanical engineeringFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Differential Equations Analysis