Positive Solutions of Fractional Differential Equation with -Laplacian Operator
The basic assumption of ecological economics is that resource allocation exists social optimal solution, and the social optimal solution and the optimal solution of enterprises can be complementary. The mathematical methods and the ecological model are one of the important means in the study of eco...
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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/10.1155/2013/789836 |
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| Summary: | The basic assumption of ecological economics is that resource allocation exists social optimal
solution, and the social optimal solution and the optimal solution of enterprises can be complementary.
The mathematical methods and the ecological model are one of the important means in the study of
ecological economics. In this paper, we study an ecological model arising from ecological economics by
mathematical method, that is, study the existence of positive solutions for the fractional differential equation
with -Laplacian operator , , , , , and , where are the standard Riemann-Liouville derivatives, -Laplacian operator is defined as , and the nonlinearity may be singular at both and By finding more
suitable upper and lower solutions, we omit some key conditions of some existing works, and the existence
of positive solution is established. |
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| ISSN: | 1085-3375 1687-0409 |