Positive Solutions to Nonlinear Higher-Order Nonlocal Boundary Value Problems for Fractional Differential Equations
Joint Authors
Khan, Rahmat Ali
Rehman, Mujeeb ur
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-06
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We study existence of positive solutions to nonlinear higher-order nonlocal boundary value problems corresponding to fractional differential equation of the type Dc0+δu(t)+f(t,u(t))=0, t∈(0,1), 0 u(1)=βu(η)+λ2, u′(0)=αu′(η)−λ1, u′′(0)=0, u′′′(0)=0⋯u(n−1)(0)=0, where, n−1<δ We use the classical tools from functional analysis to obtain sufficient conditions for the existence and uniqueness of positive solutions to the boundary value problems. We also obtain conditions for the nonexistence of positive solutions to the problem. We include examples to show the applicability of our results.
American Psychological Association (APA)
Rehman, Mujeeb ur& Khan, Rahmat Ali. 2010. Positive Solutions to Nonlinear Higher-Order Nonlocal Boundary Value Problems for Fractional Differential Equations. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-476557
Modern Language Association (MLA)
Rehman, Mujeeb ur& Khan, Rahmat Ali. Positive Solutions to Nonlinear Higher-Order Nonlocal Boundary Value Problems for Fractional Differential Equations. Abstract and Applied Analysis No. 2010 (2010), pp.1-15.
https://search.emarefa.net/detail/BIM-476557
American Medical Association (AMA)
Rehman, Mujeeb ur& Khan, Rahmat Ali. Positive Solutions to Nonlinear Higher-Order Nonlocal Boundary Value Problems for Fractional Differential Equations. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-476557
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476557