Study on the Existence of Positive Solution of Sub-Linear Fractional Differential Equation

Shou Fu Ma; Zhen Fang Wei

doi:10.4028/www.scientific.net/AMR.403-408.432

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 403-408Study on the Existence of Positive Solution of...

Study on the Existence of Positive Solution of Sub-Linear Fractional Differential Equation

Abstract:

In recent years, the study on nonlinear fractional differential equation has been more concerned as it is widely used in physics, mechanics, geology, automation and many other disciplines and fields. This paper focuses on the sub-linear fractional differential equations, whose nonlinear is constrained by the power function. While in this case, it is possible to have positive solution by using the cone compression fixed point theorem. This study represents analysis on problems related to the fractional differential equations from the above aspects. With further development of this field in theoretical research and application, more explorations are waiting for us to do to lay a good theoretical foundation for its future development, and build up a broader prospect.

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Periodical:

Advanced Materials Research (Volumes 403-408)

Pages:

432-436

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.403-408.432

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Online since:

November 2011

Authors:

Shou Fu Ma, Zhen Fang Wei

Keywords:

Existence of Positive Solution, Fractional Differential Equation, Mathematics Analysis, Sub-Linear

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References

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