The exact solutions of the conformable time fractional version of the generalized Pochhammer–Chree equation
Muneerah Al Nuwairan
Abstract
Abstract The time-fractional version of the generalized Pochhammer–Chree equation is analyzed. In this paper, the equation is converted into an ordinary differential equation by applying certain real transformation, then the discrimination of polynomials system is used to find exact solutions depending on the fractional order derivative. The obtained solutions are graphically illustrated for different values of the fractional order derivative keeping the other parameters fixed.
Topics & Concepts
MathematicsFractional calculusConformable matrixOrdinary differential equationDerivative (finance)Order (exchange)Transformation (genetics)Mathematical analysisDifferential equationExact differential equationApplied mathematicsPhysicsFinanceQuantum mechanicsFinancial economicsChemistryBiochemistryEconomicsGeneFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Photonic Systems