Integral boundary value problems for fractional order integro-differential equations (Q2836968)

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scientific article; zbMATH DE number 6186184
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Integral boundary value problems for fractional order integro-differential equations
scientific article; zbMATH DE number 6186184

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    10 July 2013
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    integral boundary value problem
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    monotone iterative method
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    fractional order integro-differential equations
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    method of lower and upper generalized solutions
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    quasi-solution
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    Integral boundary value problems for fractional order integro-differential equations (English)
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    The authors study the integral boundary value problems for fractional order integro-differential equations. They first give a comparison and consider a linear problem. Later, under certain conditions, they obtain the existence of an extremal generalized solution for the problem considered by utilizing the monotone iterative technique and the method of lower and upper generalized solutions. Finally, under different conditions, they obtain the existence of a coupled generalized quasi-solution of the problem considered.
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