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Approximations of the Fractional Integral and Numerical Solutions of Fractional Integral Equations
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作者 Yuri Dimitrov 《Communications on Applied Mathematics and Computation》 2021年第3期545-569,共25页
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 approximations for the fractional integral of orders... 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 approximations for the fractional integral of ordersα,1+α,2+α,3+αand 4+α.The approximations are applied for computation of the numerical solutions of the ordinary fractional relaxation and the fractional oscillation equations expressed as fractional integral equations. 展开更多
关键词 Fractional integral trapezoidal approximation Fractional integral equation Finite-difference scheme
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