Yitao Yang, Fanwei Meng, "Positive Solutions for Nonlocal Boundary Value Problems of Fractional Differential Equation," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Yitao Yang, Fanwei Meng. Positive Solutions for Nonlocal Boundary Value Problems of Fractional Differential Equation.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Positive Solutions for Nonlocal Boundary Value Problems of Fractional Differential Equation
Authors: ,
Abstract: In this paper, we investigate the existence, uniqueness and multiplicity of positive solutions for nonlocal boundary value problems of fractional differential equation. Firstly, we reduce the problem considered to the equivalent integral equation. Secondly, the existence and uniqueness of positive solution is obtained by the use of contraction map principle and some Lipschitz-type conditions. Thirdly, by means of some fixed point theorems, some results on the multiplicity of positive solutions are obtained.
Keywords:
Riemann-Liouville fractional derivative, Nonlocal boundary value problem, Fixed point theorem, successive iteration, Positive solution
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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