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|Title:||Solving Abel integral equations of first kind via fractional calculus|
Torres, D. F. M.
|Keywords:||Abel integral equation|
Caputo fractional derivatives
Singular integral equations
|Abstract:||We give a new method for numerically solving Abel integral equations of first kind. An estimation for the error is obtained. The method is based on approximations of fractional integrals and Caputo derivatives. Using trapezoidal rule and Computer Algebra System Maple, the exact and approximation values of three Abel integral equations are found, illustrating the effectiveness of the proposed approach.|
|Appears in Collections:||CIDMA - Artigos|
SCG - Artigos
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