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We give a new method for numerically solving Abel integral equations of firstkind. An estimation for the error is obtained. The method is based onapproximations of fractional integrals and Caputo derivatives. Usingtrapezoidal rule and Computer Algebra System Maple, the exact and approximationvalues of three Abel integral equations are found, illustrating theeffectiveness of the proposed approach.

Solving Abel integral equations of first kind via fractional calculus