Uniqueness of Successive Positive Solution for Nonlocal Singular Higher-Order Fractional Differential Equations Involving Arbitrary Derivatives

Uniqueness of Successive Positive Solution for Nonlocal Singular Higher-Order Fractional Differential Equations Involving Arbitrary Derivatives

In this article, by means of fixed point theorem on mixed monotone operator, we establish the uniqueness of positive solution for some nonlocal singular higher-order fractional differential equations involving arbitrary derivatives. We also give iterative schemes for approximating this unique positi...

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Veröffentlicht in:Journal of function spaces 2018-01, Vol.2018 (2018), p.1-8
Hauptverfasser: Fu, Zhengqing, Lu, Xinyi, Zhang, Xingqiu, Zhong, Qiuyan
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Boundary conditions
Boundary value problems
Derivatives
Differential equations
Fixed points (mathematics)
Mathematical analysis
Uniqueness
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Zusammenfassung:In this article, by means of fixed point theorem on mixed monotone operator, we establish the uniqueness of positive solution for some nonlocal singular higher-order fractional differential equations involving arbitrary derivatives. We also give iterative schemes for approximating this unique positive solution.
ISSN:2314-8896
2314-8888
DOI:10.1155/2018/6207682