Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative
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🧮 math.CA
math.NA
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fractionalderivativeexpansionformulashadamardintegralapproximationbound
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We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method.
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