Existence of Positive Solutions for a Class of Delay Fractional Differential Equations with Generalization to N-Term
Joint Authors
Baleanu, Dumitru
Babakhani, Azizollah
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-13
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We established the existence of a positive solution of nonlinear fractional differential equations L(D)[x(t)−x(0)]=f(t,xt), t∈(0,b] with finite delay x(t)=ω(t), t∈[−τ,0], where limt→0f(t,xt)=+∞, that is, f is singular at t=0 and xt∈C([−τ,0],ℝ≥0).
The operator of L(D) involves the Riemann-Liouville fractional derivatives.
In this problem, the initial conditions with fractional order and some relations among them were considered.
The analysis rely on the alternative of the Leray-Schauder fixed point theorem, the Banach fixed point theorem, and the Arzela-Ascoli theorem in a cone.
American Psychological Association (APA)
Babakhani, Azizollah& Baleanu, Dumitru. 2011. Existence of Positive Solutions for a Class of Delay Fractional Differential Equations with Generalization to N-Term. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-468491
Modern Language Association (MLA)
Babakhani, Azizollah& Baleanu, Dumitru. Existence of Positive Solutions for a Class of Delay Fractional Differential Equations with Generalization to N-Term. Abstract and Applied Analysis No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-468491
American Medical Association (AMA)
Babakhani, Azizollah& Baleanu, Dumitru. Existence of Positive Solutions for a Class of Delay Fractional Differential Equations with Generalization to N-Term. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-468491
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468491