Positive solutions for fractional differential equation involving the Riemann-Stieltjes integral conditions with two parameters
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Authors
Ying Wang
- School of Science, Linyi University, Linyi 276000, Shandong, P. R. China.
Abstract
Through the application of the upper-lower solutions method and the fixed point theorem on cone, under
certain conditions, we obtain that there exist appropriate regions of parameters in which the fractional
differential equation has at least one or no positive solution. In the end, an example is worked out to
illustrate our main results.
Share and Cite
ISRP Style
Ying Wang, Positive solutions for fractional differential equation involving the Riemann-Stieltjes integral conditions with two parameters, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 11, 5733--5740
AMA Style
Wang Ying, Positive solutions for fractional differential equation involving the Riemann-Stieltjes integral conditions with two parameters. J. Nonlinear Sci. Appl. (2016); 9(11):5733--5740
Chicago/Turabian Style
Wang, Ying. "Positive solutions for fractional differential equation involving the Riemann-Stieltjes integral conditions with two parameters." Journal of Nonlinear Sciences and Applications, 9, no. 11 (2016): 5733--5740
Keywords
- Fractional differential equation
- Riemann-Stieltjes integral conditions
- upper-lower solutions
- the fixed point theorem.
MSC
- 34A08
- 34B18
- 34B08
- 34B10
- 47N20
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