Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator
Saleh Alshammari, Naveed Iqbal, Mohammad Yar
Abstract
In this article, we investigate the fractional-order Fokker-Planck equations with the help of the Yang transform decomposition method (YTDM). The YTDM combines Yang transform, Adomian decomposition method, and Adomian polynomials into one method. In the Caputo sense, fractional derivatives of space and time are studied. The convergent series form solution demonstrates the method’s efficiency in resolving several types of fractional differential equations. Compared to other methods of finding approximate and exact solutions for nonlinear partial differential equations, this technique is more efficient and time-consuming.
Topics & Concepts
Adomian decomposition methodMathematicsFractional calculusNonlinear systemDecomposition method (queueing theory)Operator (biology)Mathematical analysisFokker–Planck equationSpace (punctuation)Applied mathematicsSeries (stratigraphy)Partial differential equationPhysicsComputer scienceDiscrete mathematicsQuantum mechanicsGeneBiologyPaleontologyRepressorOperating systemChemistryBiochemistryTranscription factorFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials