Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces (Q2901931)
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scientific article; zbMATH DE number 6062428
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces |
scientific article; zbMATH DE number 6062428 |
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Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces (English)
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31 July 2012
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fractional boundary value problems
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Caputo derivative
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Pettis integrals
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The paper concerns the existence of weak solutions for Caputo-type fractional differential equations with mixed boundary conditions of integral form. The authors use Mönch's fixed point theorem combined with the technique of measures of weak compactness to establish existence and uniqueness theory. The paper concludes with an example of the application of the theory.
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