Sharp estimates for the unique solution of two-point fractional-order boundary value problems

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• 作者：Bashir Ahmad ^{bashirahmad_qau@yahoo.com}
• 关键词：Fractional derivative ; Two-point ; Boundary conditions ; Existence
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：65
• 期：Complete
• 页码：77-82
• 全文大小：765 K
• 卷排序：65

文摘

In this short note, we derive a sharp condition in terms of the end-points of the given interval which ensures the uniqueness of solutions for a Liouville–Caputo type fractional differential equation supplemented with two-point boundary conditions. A comparison with Riemann–Liouville type two-point fractional boundary value problem as well as with the classical two-point problem is presented.