Existence and Uniqueness of Solutions for BVP of Nonlinear Fractional Differential Equation
Joint Authors
Su, Cheng-Min
Zhao, Ya-Hong
Sun, Jian-Ping
Source
International Journal of Differential Equations
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-29
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In this paper, we study the existence and uniqueness of solutions for the following boundary value problem of nonlinear fractional differential equation: D0+qCut=ft,ut, t∈0,1, u0=u′′0=0, D0+σ1Cu1=λI0+σ2u1, where 20, and λ≠Γ2+σ2/Γ2-σ1.
The main tools used are nonlinear alternative of Leray-Schauder type and Banach contraction principle.
American Psychological Association (APA)
Su, Cheng-Min& Sun, Jian-Ping& Zhao, Ya-Hong. 2017. Existence and Uniqueness of Solutions for BVP of Nonlinear Fractional Differential Equation. International Journal of Differential Equations،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1165851
Modern Language Association (MLA)
Su, Cheng-Min…[et al.]. Existence and Uniqueness of Solutions for BVP of Nonlinear Fractional Differential Equation. International Journal of Differential Equations No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1165851
American Medical Association (AMA)
Su, Cheng-Min& Sun, Jian-Ping& Zhao, Ya-Hong. Existence and Uniqueness of Solutions for BVP of Nonlinear Fractional Differential Equation. International Journal of Differential Equations. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1165851
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1165851