ANALYSIS OF FRACTAL–FRACTIONAL MALARIA TRANSMISSION MODEL
J. F. Gómez‐Aguilar, Teodoro Córdova–Fraga, Thabet Abdeljawad, Aziz Khan, Hasib Khan
Abstract
In this paper, the malaria transmission (MT) model under control strategies is considered using the Liouville–Caputo fractional order (FO) derivatives with exponential decay law and power-law. For the solutions we are using an iterative technique involving Laplace transform. We examined the uniqueness and existence (UE) of the solutions by applying the fixed-point theory. Also, fractal–fractional operators that include power-law and exponential decay law are considered. Numerical results of the MT model are obtained for the particular values of the FO derivatives [Formula: see text] and [Formula: see text].
Topics & Concepts
FractalUniquenessMathematicsLaplace transformExponential functionApplied mathematicsFractional calculusPower lawFixed-point theoremTransmission (telecommunications)Exponential decayMathematical analysisLawPhysicsComputer scienceStatisticsQuantum mechanicsTelecommunicationsPolitical scienceFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsMetaheuristic Optimization Algorithms Research