An analytical approach for the fractional-order Hepatitis B model using new operator
Surath Ghosh
Abstract
In this work, the main goal is to implement Homotopy perturbation transform method (HPTM) involving Katugampola fractional operator. As an example, a fractional order Hepatitis model is considered to analyze the solutions. At first, the integer order model is converted to fractional order model in Caputo sense. Then, the new operator Katugampola fractional derivative is used to present the model. The new such kind of operator is illustrated in Caputo sense. HPTM is described to get the solution of the proposed model using the new kind of operator. Also, there are some analyses about the new kind of operator to prove the efficiency of the operator.
Topics & Concepts
Fractional calculusOperator (biology)MathematicsShift operatorSemi-elliptic operatorApplied mathematicsOrder (exchange)Mathematical analysisComputer scienceCompact operatorDifferential operatorEconomicsGeneExtension (predicate logic)ChemistryTranscription factorFinanceBiochemistryRepressorProgramming languageFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsMathematical and Theoretical Epidemiology and Ecology Models