New Exact Solutions of Some Important Nonlinear Fractional Partial Differential Equations with Beta Derivative
Erdoĝan Mehmet Özkan
Abstract
In this work, the F-expansion method is used to find exact solutions of the space-time fractional modified Benjamin Bona Mahony equation and the nonlinear time fractional Schrödinger equation with beta derivative. One of the most efficient and significant methods for obtaining new exact solutions to nonlinear equations is this method. With the aid of Maple, more exact solutions defined by the Jacobi elliptic function are obtained. Hyperbolic function solutions and some exact solutions expressed by trigonometric functions are gained in the case of m modulus 1 and 0 limits of the Jacobi elliptic function.
Topics & Concepts
MathematicsFractional calculusElliptic functionMathematical analysisNonlinear systemTrigonometric functionsExact solutions in general relativityPartial differential equationHyperbolic functionDerivative (finance)Jacobi elliptic functionsApplied mathematicsPhysicsEconomicsGeometryFinancial economicsQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsQuantum Mechanics and Non-Hermitian Physics