On the Solvability of Caputo -Fractional Boundary Value Problem Involving -Laplacian Operator
We consider the model of a Caputo -fractional boundary value problem involving -Laplacian operator. By using the Banach contraction mapping principle, we prove that, under some conditions, the suggested model of the Caputo -fractional boundary value problem involving -Laplacian operator has a unique...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/658617 |
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| Summary: | We consider the model of a Caputo -fractional boundary value
problem involving -Laplacian operator. By using the Banach contraction
mapping principle, we prove that, under some conditions, the suggested model
of the Caputo -fractional boundary value problem involving -Laplacian
operator has a unique solution for both cases of and . It is
interesting that in both cases solvability conditions obtained here depend on
, , and the order of the Caputo -fractional differential equation.
Finally, we illustrate our results with some examples. |
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| ISSN: | 1085-3375 1687-0409 |