Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative |
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| Authors: | Shakoor Pooseh Delfim F M Torres |
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| Institution: | Center for Research and Development in Mathematics and Applications, Department of Mathematics , University of Aveiro , Aveiro , Portugal |
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| Abstract: | 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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| Keywords: | Fractional calculus Hadamard fractional derivatives Hadamard fractional integrals Numerical approximations |
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