On the existence and multiplicity of solutions for Dirichlet's problem for fractional differential equations (Q261271)
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scientific article; zbMATH DE number 6559713
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence and multiplicity of solutions for Dirichlet's problem for fractional differential equations |
scientific article; zbMATH DE number 6559713 |
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On the existence and multiplicity of solutions for Dirichlet's problem for fractional differential equations (English)
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23 March 2016
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The authors study existence and multiplicity of solutions for fractional boundary value problems. The problem is formulated using both Riemann-Liouville and Caputo derivatives. The global Ambrosetti-Rabinowitz condition and the Palais-Smale condition are used to establish the results. The paper extends the second order boundary value problem to the non integer case. At the end, some examples are presented to illustrate the analytical results.
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fractional differential equations
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variational methods
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multiple solutions
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