Analytical and approximate solutions of Fractional Partial Differential-Algebraic Equations
Hatıra Günerhan, Ercan Çeli̇k
Abstract
Abstract In this paper, we have extended the Fractional Differential Transform method for the numerical solution of the system of fractional partial differential-algebraic equations. The system of partial differential-algebraic equations of fractional order is solved by the Fractional Differential Transform method. The results exhibit that the proposed method is very effective.
Topics & Concepts
MathematicsDifferential algebraic geometryNumerical partial differential equationsFractional calculusDifferential algebraic equationStochastic partial differential equationMathematical analysisAlgebraic numberPartial differential equationFirst-order partial differential equationApplied mathematicsDifferential (mechanical device)Differential equationOrdinary differential equationPhysicsThermodynamicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNumerical methods for differential equations