وجود جوابهای نامنفی برای کلاسی از مسائل مقدار مرزی کسری
Publish place: Caspian Journal of Mathematical Sciences، Vol: 2، Issue: 1
Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-2-1_007
تاریخ نمایه سازی: 16 مهر 1398
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.
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Authors
A. Babakhani
Department of Mathematics, Faculty of Basic Science University of Technology, ۴۷۱۴۸-۷۱۱۶۷, Iran