Existence and multiplicity of solutions for some fractional boundary value problem via critical point theory (Q410209)
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scientific article; zbMATH DE number 6020987
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and multiplicity of solutions for some fractional boundary value problem via critical point theory |
scientific article; zbMATH DE number 6020987 |
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Existence and multiplicity of solutions for some fractional boundary value problem via critical point theory (English)
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3 April 2012
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Summary: We study the existence and multiplicity of solutions for the following fractional boundary value problem: \((d/dt)((1/2)_0 D^{-\beta}_t (u'(t)) + (1/2)_t D^{-\beta}_T (u'(t))) + \nabla F(t, u(t)) = 0\), a. e. \(t \in [0, T], u(0) = u(T) = 0\), where \(F(t, \cdot)\) are superquadratic, asymptotically quadratic, and subquadratic, respectively. Several examples are presented to illustrate our results.
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fractional boundary value problem
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