International Journal of Differential Equations · 2021 · 16 citations · 20 references
Natural SciencesComputational EngineeringMathematicsDifferential EquationsDynamical SystemsInfectious Disease EpidemiologyInfectious Disease DynamicsIterative SolversNonlinear DynamicsNumerical Methods For Differential EquationsSystems Of Differential EquationsDifferential Equation SolversEpidemic ModelsFractional Differential EquationsMathematical Modeling Of EpidemicsModeling Of Outbreak SpreadNonlinear System ModelingNonlinear Variational Problems
In this paper, the conformable fractional-order SIR epidemic model are solved by means of an analytic technique for nonlinear problems, namely, the conformable fractional differential transformation method (CFDTM) and variational iteration method (VIM). These models are nonlinear system of conformable fractional differential equation (CFDE) that has no analytic solution. The VIM is based on conformable fractional derivative and proved. The result revealed that both methods are in agreement and are accurate and efficient for solving systems of OFDE.
20
A new definition of fractional derivative
Roshdi Khalil, Mohammed Al Horani, A. Yousef et al. · Journal of Computational and Applied Mathematics · 2014 · 3.4K citations