Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations
Feng Gao, Chunmei Chi
Abstract
In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in terms of physical meaning. We also gave the definition of the corresponding fractional integral and illustrated the applications of the improved conformable derivative to fractional differential equations by some examples.
Topics & Concepts
Conformable matrixFractional calculusDerivative (finance)MathematicsMathematical analysisGeneralizations of the derivativeDifferential (mechanical device)Applied mathematicsPhysicsThermodynamicsFinancial economicsQuantum mechanicsEconomicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisNumerical methods in engineering