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A first formulation of an integral operator of fractional order in reliable form is named the Riemann-Liouville fractional integral operator.
An aggregation methodology, based on the Choquet integral operator and MACBETH framework, is thus adopted.
First, the equation contains the Hilbert transform, a nonlocal integral operator.
This reduction is performed by factorization of the integral operator based on the co-area formulas.
In our numerical realization we use the matrix-free implementation of the corresponding integral operator.
The Riemann Liouville fractional integral operator for hybrid functions is introduced.
Properties of an integral operator in the resulting integral equation are studied.
The stability of the boundary conditions is proved, assuming certain properties of the integral operator.
Such an integral operator is usually compact if the integral boundary is globally smooth.
Define an integral operator as (3.4).
So we generalize the integral operator.
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