On the existence of nonnegative solutions for a class of fractional boundary value problems
نویسنده
چکیده مقاله:
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.
منابع مشابه
on the existence of nonnegative solutions for a class of fractional boundary value problems
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 $c^1$ ...
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عنوان ژورنال
دوره 2 شماره 1
صفحات 67- 76
تاریخ انتشار 2014-06-30
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