Author:
Nyamoradi Nemat,Baleanu Dumitru,Agarwal Ravi P
Abstract
Abstract
In this manuscript, we consider two problems of boundary value problems for a fractional differential equation. A fixed point theorem in partially ordered sets and a contraction mapping principle are applied to prove the existence of at least one positive solution for both fractional boundary value problems.
MSC:47H10, 26A33, 34A08.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference17 articles.
1. Hilfer R: Applications of Fractional Calculus in Physics. World Scientific, Singapore; 2000.
2. Sabatier J, Agrawal OP, Tenreiro Machado JA: Advances in Fractional Calculus. Springer, Berlin; 2007.
3. Baleanu D, Diethelm K, Scalas E, Trujillo JJ Series on Complexity, Nonlinearity and Chaos. In Fractional Calculus Models and Numerical Methods. World Scientific, Singapore; 2012.
4. Baleanu D, Mustafa OG, Agarwal RP: On the solution set for a class of sequential fractional differential equations. J. Phys. A, Math. Theor. 2010., 43(38): Article ID 385209
5. Baleanu, D, Mohammadi, H, Rezapour, S: Some existence results on nonlinear fractional differential equations. Philos. Trans. R. Soc., A-Issue (2012, to appear)
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