Existence of solutions for a mixed fractional boundary value problem
In this paper, we prove the existence of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional derivatives. For this, we convert the posed problem to a sum of two integral operators, then we apply Krasnoselskii’s fixed point theorem to conclude...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/61809/ http://psasir.upm.edu.my/id/eprint/61809/1/Existence%20of%20solutions%20for%20a%20mixed.pdf |
| Summary: | In this paper, we prove the existence of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional derivatives. For this, we convert the posed problem to a sum of two integral operators, then we apply Krasnoselskii’s fixed point theorem to conclude the existence of nontrivial solutions. |
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