Computation of Fractional Derivatives of Analytic Functions
Department of Mathematical Sciences
It has recently been demonstrated that both regular derivatives and contour integrals of analytic functions can be numerically evaluated to very high orders of accuracy utilizing only grid-based function values in the complex plane. Using closely related techniques, we show here the same to be true for the task of evaluating fractional order derivatives of analytic functions across the complex plane. Several cases are illustrated.
Journal of Scientific Computing
Piret, C. M.
Computation of Fractional Derivatives of Analytic Functions.
Journal of Scientific Computing,
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