Department of Mathematics, Faculty of Basic Science University of Technology, 47148-71167, Iran
Abstract
In this paper, we provide sufficient conditions for the existence of nonnegative solutions of a boundary value problem for a fractional order differential equation. By applying Kranoselskii`s fixed--point theorem in a cone, first we prove the existence of solutions of an auxiliary BVP formulated by truncating the response function. Then the Arzela--Ascoli theorem is used to take $C^1$ limits of sequences of such solutions.
Babakhani, A. (2013). On the existence of nonnegative solutions for a class of fractional boundary value problems. Caspian Journal of Mathematical Sciences, 2(1), 67-76.
MLA
A. Babakhani. "On the existence of nonnegative solutions for a class of fractional boundary value problems". Caspian Journal of Mathematical Sciences, 2, 1, 2013, 67-76.
HARVARD
Babakhani, A. (2013). 'On the existence of nonnegative solutions for a class of fractional boundary value problems', Caspian Journal of Mathematical Sciences, 2(1), pp. 67-76.
VANCOUVER
Babakhani, A. On the existence of nonnegative solutions for a class of fractional boundary value problems. Caspian Journal of Mathematical Sciences, 2013; 2(1): 67-76.
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