"Existence and Uniqueness of Positive Solutions for $(n-1,1)-$ Type BVP" by Yuji Liu

Progress in Fractional Differentiation & Applications

Article Title

Existence and Uniqueness of Positive Solutions for $(n-1,1)-$ Type BVPs of Two-Term Fractional Differential Equations

Authors

Yuji Liu, GuangdongUniversity ofFinanceandEconomics, Guangzhou, 510320, P R ChinaFollow

Author Country (or Countries)

P R China

Abstract

In this article, we establish existence and uniqueness results for positive solutions of a boundary value problem of the nonlinear two-term fractional differential equation in which the lower fractional derivative order $\beta$ and the higher one $\alpha$ satisfy $\alpha-1<\beta<\alpha$. Our analysis is based on a fixed point theorem. An example is given to illustrate the efficiency of the main theorem.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/020305

Recommended Citation

Liu, Yuji (2016) "Existence and Uniqueness of Positive Solutions for $(n-1,1)-$ Type BVPs of Two-Term Fractional Differential Equations," Progress in Fractional Differentiation & Applications: Vol. 2: Iss. 3, Article 5.
DOI: http://dx.doi.org/10.18576/pfda/020305
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol2/iss3/5

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