
AbstractIn 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.
Financial economics, Second derivative, Economics, Generalizations of the derivative, Matrix Inequalities and Geometric Means, Mathematical analysis, Orthogonal Polynomials, Differential equation, Machine learning, QA1-939, FOS: Mathematics, Stability (learning theory), Anomalous Diffusion Modeling and Analysis, Applied Mathematics, Partial differential equation, Applied mathematics, Partial derivative, Computer science, Fractional Derivatives, Modeling and Simulation, Derivative (finance), Physical Sciences, Mathematics, Ordinary differential equation, Discretization
Financial economics, Second derivative, Economics, Generalizations of the derivative, Matrix Inequalities and Geometric Means, Mathematical analysis, Orthogonal Polynomials, Differential equation, Machine learning, QA1-939, FOS: Mathematics, Stability (learning theory), Anomalous Diffusion Modeling and Analysis, Applied Mathematics, Partial differential equation, Applied mathematics, Partial derivative, Computer science, Fractional Derivatives, Modeling and Simulation, Derivative (finance), Physical Sciences, Mathematics, Ordinary differential equation, Discretization
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