A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations
A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations
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DOI：
10.2478/s13540-014-0173-5
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发表时间：
2014-06-01
影响因子：
3
通讯作者：
Ntouyas, Sotiris K.
中科院分区：
文献类型：
--
作者：
Ahmad, Bashir;Ntouyas, Sotiris K.
研究一类具有积分边界条件的Hadamard型分数阶微分方程耦合系统解的存在唯一性。我们强调许多关于分数边值问题的工作涉及Riemann-Liouville或Caputo型分数微分方程。在本工作中，我们考虑了一个涉及Hadamard微分方程组和Hadamard型积分边界条件的新问题。解的存在性由Leray-Schauder替代定理推导，解的唯一性由Banach收缩原理建立。还包括一个说明性示例。
This paper is concerned with the existence and uniqueness of solutions for a coupled system of Hadamard type fractional differential equations and integral boundary conditions. We emphasize that much work on fractional boundary value problems involves either Riemann-Liouville or Caputo type fractional differential equations. In the present work, we have considered a new problem which deals with a system of Hadamard differential equations and Hadamard type integral boundary conditions. The existence of solutions is derived from Leray-Schauder's alternative, whereas the uniqueness of solution is established by Banach's contraction principle. An illustrative example is also included.