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Revised fractional homotopy analysis method for solving nonlinear fractional PDEs

Sahib Abdulkadhim Sachit, Hassan Kamil Jassim, Nabeel Jawad Hassan

2022AIP conference proceedings18 citationsDOI

Abstract

In paper, A of fractional homotopy analysis method (MFHAM) is suggested and used for solving some nonlinear fractional partial differential equations (NFPDEs) with Caputo fractional derivative (CFD). Illustrative Examples have been presented, to the method and the results obtained are compared with fractional homotopy analysis method (FHAM).

Topics & Concepts

Homotopy analysis methodFractional calculusHomotopy perturbation methodNonlinear systemMathematicsPartial differential equationHomotopyApplied mathematicsMathematical analysisPure mathematicsPhysicsQuantum mechanicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNanofluid Flow and Heat Transfer
Revised fractional homotopy analysis method for solving nonlinear fractional PDEs | Litcius