![](/images/graphics-bg.png)
Positive Solutions of Fractional Differential Equation with p-Laplacian Operator
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-28
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The basic assumption of ecological economics is that resource allocation exists social optimal solution, and the social optimal solution and the optimal solution of enterprises can be complementary.
The mathematical methods and the ecological model are one of the important means in the study of ecological economics.
In this paper, we study an ecological model arising from ecological economics by mathematical method, that is, study the existence of positive solutions for the fractional differential equation with p-Laplacian operator Dtβ(φp(Dtαx))(t)=f(t,x(t)), t∈(0,1), x(0)=0, x(1)=ax(ξ), Dtαx(0)=0, and Dtαx1=bDtαxη, where Dtα,Dtβ are the standard Riemann-Liouville derivatives, p-Laplacian operator is defined as φps=sp-2s,p>1, and the nonlinearity f may be singular at both t=0,1 and x=0.
By finding more suitable upper and lower solutions, we omit some key conditions of some existing works, and the existence of positive solution is established.
American Psychological Association (APA)
Ren, Teng& Chen, Xiaochun. 2013. Positive Solutions of Fractional Differential Equation with p-Laplacian Operator. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-498249
Modern Language Association (MLA)
Ren, Teng& Chen, Xiaochun. Positive Solutions of Fractional Differential Equation with p-Laplacian Operator. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-498249
American Medical Association (AMA)
Ren, Teng& Chen, Xiaochun. Positive Solutions of Fractional Differential Equation with p-Laplacian Operator. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-498249
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498249