Positive solutions for fractional differential equation involving the Riemann-Stieltjes integral conditions with two parameters

Volume 9, Issue 11, pp 5733--5740 http://dx.doi.org/10.22436/jnsa.009.11.02

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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.

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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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