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Local Fractional Variational Iteration Algorithms for the Parabolic Fokker-Planck Equation Defined on Cantor Sets

Dumitru Bǎleanu, H. M. Srivastava, Xiao‐Jun Yang

2025Progress in Fractional Differentiation and Applications33 citationsDOI

Abstract

In this article, we apply the local fractional variational i teration algorithms for solving the parabolic Fokker-Planck equation which is defined on Cantor sets. It is shown by comparing with t he three LFVIAs that the LFVIA-II is the easiest to obtain the non- differentiable solutions for linear local fractional part ial differential equations. Several other related recent w orks dealing with local fractional derivative operators on Cantor sets are also ind icated.

Topics & Concepts

MathematicsFokker–Planck equationFractional calculusDifferentiable functionMathematical analysisApplied mathematicsDifferential equationFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisThermoelastic and Magnetoelastic Phenomena
Local Fractional Variational Iteration Algorithms for the Parabolic Fokker-Planck Equation Defined on Cantor Sets | Litcius