Time-Fractional Differential Equations with an Approximate Solution
Lamees K. Alzaki, Hassan Kamil Jassim
Abstract
This paper shows how to use the fractional Sumudu homotopy perturbation technique (SHP) with the Caputo fractional operator (CF) to solve time fractional linear and nonlinear partial differential equations. The Sumudu transform (ST) and the homotopy perturbation technique (HP) are combined in this approach. In the Caputo definition, the fractional derivative is defined. In general, the method is straightforward to execute and yields good results. There are some examples offered to demonstrate the technique's validity and use.
Topics & Concepts
MathematicsFractional calculusHomotopy analysis methodNonlinear systemHomotopy perturbation methodPerturbation (astronomy)Applied mathematicsPartial differential equationHomotopyOperator (biology)Mathematical analysisPartial derivativePure mathematicsPhysicsTranscription factorChemistryBiochemistryGeneQuantum mechanicsRepressorFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials