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Explicit iteration and unbounded solutions for fractional integral boundary value problem on an infinite interval
Institution:School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, People’s Republic of China
Abstract:By employing the monotone iterative technique, we not only establish the existence of the unique solution for a fractional integral boundary value problem on semi-infinite intervals, but also develop an explicit iterative sequence for approximating the solution and give an error estimate for the approximation, which is an important improvement of existing results.
Keywords:Explicit iteration  Unbounded solution  Fractional integral boundary condition  Error estimate  Infinite interval
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