Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions
By Josefa Caballero, I. Cabrera, Kishin B. Sadarangani. 2012
145 citations recorded by the source corpus.
We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function. Our analysis relies on a fixed point theorem in partially ordered sets. Moreover, we compare our results with others that appear in the literature.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/b9951a74f60c4883fc68dc8627637f5089b84f44
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In Applied Mathematics
- Sotiris K. Ntouyas
- Bashir Ahmad
- Ahmed Alsaedi
- Xingqiu Zhang
- Qi Zhong
- J. J. Nieto
- Jinrong Wang
- Yong Zhou
In Modeling and Simulation
- Sotiris K. Ntouyas
- Bashir Ahmad
- Ahmed Alsaedi
- Xingqiu Zhang
- Qi Zhong
- J. J. Nieto
- Yong Zhou
- Gennaro Infante
Citations in the corpus
- A Study of Nonlinear Fractional Differential Equations of Arbitrary Order with Riemann-Liouville Type Multistrip Boundary Conditions (2013, background): “For some recent work on the topic, see ([7–23]) and the references therein.”
- Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions (2017, background): “boundary value conditions which makes the problem considered here more general than those in the existing literature ([3, 20, 23, 24]).”