Properties of Positive Solutions to a Class of Fractional Differential Equations With Parameters and Integral Boundary Conditions

FENG Hai-xing; ZHAI Cheng-bo

doi:10.21656/1000-0887.380124

Volume 38 Issue 7

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FENG Hai-xing, ZHAI Cheng-bo. Properties of Positive Solutions to a Class of Fractional Differential Equations With Parameters and Integral Boundary Conditions[J]. Applied Mathematics and Mechanics, 2017, 38(7): 818-826. doi: 10.21656/1000-0887.380124

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Properties of Positive Solutions to a Class of Fractional Differential Equations With Parameters and Integral Boundary Conditions

doi: 10.21656/1000-0887.380124

FENG Hai-xing¹,
ZHAI Cheng-bo²

¹College of Applied Mathematics, Shanxi University of Finance and Economics,Taiyuan 030031, P.R.China;²School of Mathematical Sciences,Shanxi University, Taiyuan 030006, P.R.China

Funds: The National Natural Science Foundation of China(11201272)

Received Date: 2017-05-05
Rev Recd Date: 2017-05-25
Publish Date: 2017-07-15

Abstract

Abstract

A class of boundary value problems of fractional differential equations with parameters were studied. Based on the fixed point theorem and the properties of the mixed monotone operator eigenvalue problems, some characteristics of positive solutions to the fractional differential equations depending on the parameters were obtained: existence and uniqueness, monotonicity, continuity and limitations. In the end, an example was given to illustrate the rationality of the main results.
- fractional differential equation,
- positive solution,
- existence and uniqueness,
- parameter,
- mixed monotone operator

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References(23)

References

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