Existence of Positive Solutions to Boundary Value Problem of Caputo Fractional Differential Equation
Joint Authors
Liu, Zhiping
Cui, Yaqiong
Kang, Shugui
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-07
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We consider the existence of positive solutions to the nonlinear fractional differential equation boundary value problem D 0 + α C u t + f u t , u ' t = 0 , t ∈ 0,1 , u 0 = u 1 = u ″ 0 = 0 , where f : 0 , + ∞ × R → 0 , + ∞ is continuous, α ∈ 2,3 , and D 0 + α C is the standard Caputo differentiation.
By using fixed point theorems on cone, we give some existence results concerning positive solutions.
Here the solutions especially are the interior points of cone.
American Psychological Association (APA)
Cui, Yaqiong& Kang, Shugui& Liu, Zhiping. 2015. Existence of Positive Solutions to Boundary Value Problem of Caputo Fractional Differential Equation. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1060739
Modern Language Association (MLA)
Cui, Yaqiong…[et al.]. Existence of Positive Solutions to Boundary Value Problem of Caputo Fractional Differential Equation. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1060739
American Medical Association (AMA)
Cui, Yaqiong& Kang, Shugui& Liu, Zhiping. Existence of Positive Solutions to Boundary Value Problem of Caputo Fractional Differential Equation. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1060739
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060739