【摘 要】
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In the present paper,we derive the asymptotic expansion formula for the trapezoidal approximation of the fractional integral.We use the expansion formula to obtain approxi-mations for the fractional integral of orders α,1+α,2+α,3+α and 4+α.The approxi-mat
【机 构】
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Department of Mathematics and Physics,University of Forestry,1756 Sofia,Bulgaria;Institute of Mathem
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In the present paper,we derive the asymptotic expansion formula for the trapezoidal approximation of the fractional integral.We use the expansion formula to obtain approxi-mations for the fractional integral of orders α,1+α,2+α,3+α and 4+α.The approxi-mations are applied for computation of the numerical solutions of the ordinary frac-tional relaxation and the fractional oscillation equations expressed as fractional integral equations.
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