Solving fractional PDEs by Elzaki homotopy analysis method
Sahib Abdulkadhim Sachit, Hassan Kamil Jassim
Abstract
In this paper, we are concerned with finding approximate solutions to fractional PDEs by using the Elzaki homotopy analysis method (EHAM). The presented method is considered in the Caputo fractional operator (CFO). Illustrative examples for handling the fractional PDEs are given. The obtained results are given to show the sample and efficient features of the presented techniques to implement PDEs with CFO.
Topics & Concepts
Homotopy analysis methodHomotopy perturbation methodFractional calculusHomotopyOperator (biology)MathematicsApplied mathematicsMathematical optimizationSample (material)Computer sciencePure mathematicsTranscription factorChemistryChromatographyGeneRepressorBiochemistryFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNonlinear Differential Equations Analysis