Fractional Calculus for Solving Abel’s Integral Equations Using Chebyshev Polynomials
نویسندگان
چکیده
Abstract In this paper, the numerical method for solving Abel’s integral equations is presented. This method is based on fractional calculus. Also, Chebyshev polynomials are utilized to apply fractional properties for solving Abel’s integral equations of the first and second kind. The fractional operator is considered in the sense of RiemannLiouville. Although Abel’s integral equations as singular Volterra integral equations are hard and heavily in computation but, the examples show ability and effectiveness of this method.
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