Existence and Uniqueness of Positive Solutions of Boundary-Value Problems for Fractional Differential Equations with p-Laplacian Operator and Identities on the Some Special Polynomials
Joint Authors
Araci, Serkan
Şen, Erdoğan
Seo, Jong Jin
Oruçoğlu, Kamil
Acikgoz, Mehmet
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-17
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider the following boundary-value problem of nonlinear fractional differential equation with p-Laplacian operator D0+β(ϕp(D0+αu(t)))+a(t)f(u)=0, 0
By the properties of Green function and Schauder fixed point theorem, several existence and nonexistence results for positive solutions, in terms of the parameters λ and μ are obtained.
The uniqueness of positive solution on the parameters λ and μ is also studied.
In the final section of this paper, we derive not only new but also interesting identities related special polynomials by which Caputo fractional derivative.
American Psychological Association (APA)
Şen, Erdoğan& Acikgoz, Mehmet& Seo, Jong Jin& Araci, Serkan& Oruçoğlu, Kamil. 2013. Existence and Uniqueness of Positive Solutions of Boundary-Value Problems for Fractional Differential Equations with p-Laplacian Operator and Identities on the Some Special Polynomials. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-496030
Modern Language Association (MLA)
Şen, Erdoğan…[et al.]. Existence and Uniqueness of Positive Solutions of Boundary-Value Problems for Fractional Differential Equations with p-Laplacian Operator and Identities on the Some Special Polynomials. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-496030
American Medical Association (AMA)
Şen, Erdoğan& Acikgoz, Mehmet& Seo, Jong Jin& Araci, Serkan& Oruçoğlu, Kamil. Existence and Uniqueness of Positive Solutions of Boundary-Value Problems for Fractional Differential Equations with p-Laplacian Operator and Identities on the Some Special Polynomials. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-496030
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496030