Some exact solutions of a variable coefficients fractional biological population model
A. H. Abdel Kader, M. S. Abdel Latif, Dumitru Bǎleanu
Abstract
In this paper, we investigate the exact solutions of a nonlinear variable coefficients time fractional biological population model using the invariant subspace method. The subspaces with dimensions one, two, and three are derived for certain cases of the variable coefficients. The exact solutions of the nonlinear time fractional biological population model are obtained in some cases.
Topics & Concepts
MathematicsLinear subspaceNonlinear systemVariable (mathematics)Applied mathematicsPopulation modelSubspace topologyInvariant subspacePopulationFractional calculusMathematical analysisPure mathematicsQuantum mechanicsDemographyPhysicsSociologyFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations Analysis