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Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions
Joint Authors
Li, Min
Zhao, Ya-Hong
Sun, Jian-Ping
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-23
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In this paper, we consider a class of boundary value problems of nonlinear fractional differential equation with integral boundary conditions.
By applying the monotone iterative method and some inequalities associated with Green’s function, we obtain the existence of minimal and maximal positive solutions and establish two iterative sequences for approximating the solutions to the above problem.
It is worth mentioning that these iterative sequences start off with zero function or linear function, which is useful and feasible for computational purpose.
An example is also included to illustrate the main result of this paper.
American Psychological Association (APA)
Li, Min& Sun, Jian-Ping& Zhao, Ya-Hong. 2020. Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1153330
Modern Language Association (MLA)
Li, Min…[et al.]. Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1153330
American Medical Association (AMA)
Li, Min& Sun, Jian-Ping& Zhao, Ya-Hong. Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1153330
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153330