on the existence of nonnegative solutions for a class of fractional boundary value problems

نویسندگان

a. babakhani

چکیده

‎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.

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عنوان ژورنال:
caspian journal of mathematical sciences

ناشر: university of mazandaran

ISSN 1735-0611

دوره 2

شماره 1 2014

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