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Abstract
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In this paper, we consider some kind of fractional singular integral equations which they have
weak and basic singularities in their kernels. In the first section, singularities are removed by
changing of variables and change the order of integrals via Fubini’s theorem. In the second
section, singularities are kind of basic. And we cannot remove or weaken them by methods of
the first section.We will remove these kinds of singularities by Poiencare—Bertrand formula.
In the final section, we consider some fractional basic singular Fredholm integral equations
and give an example for Volterra case of fractional singular integral equation
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