Analysis and applications of the proportional Caputo derivative
Ali Akgül, Dumitru Bǎleanu
Abstract
Abstract In this paper, we investigate the analysis of the proportional Caputo derivative that recently has been constructed. We create some useful relations between this new derivative and beta function. We discretize the new derivative. We investigate the stability and obtain a stability condition for the new derivative.
Topics & Concepts
Derivative (finance)DiscretizationMathematicsPartial differential equationStability (learning theory)Ordinary differential equationApplied mathematicsGeneralizations of the derivativePartial derivativeMathematical analysisSecond derivativeDifferential equationComputer scienceEconomicsFinancial economicsMachine learningFractional Differential Equations SolutionsMathematical functions and polynomialsMathematical Inequalities and Applications