On boundary value problems of fractional order with nonlocal strip condition (Q2846546)

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scientific article; zbMATH DE number 6206204
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On boundary value problems of fractional order with nonlocal strip condition
scientific article; zbMATH DE number 6206204

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    5 September 2013
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    fractional differential equations
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    integral boundary conditions
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    existence
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    fixed point theorems
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    On boundary value problems of fractional order with nonlocal strip condition (English)
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    The paper is concerned with the solution of fractional initial-boundary value problems with order between 1 and 2. The problem is equipped with an initial condition at \(t=0\) and an integral strip boundary condition away from the origin. The aim of the paper is to provide detailed existence theory through the use of fixed point theorems to problems of this type. The results are compared with the existing theory in special cases.
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