期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Existence of Solutions for a Class of Boundary Value Problems of Fractional Differential Equations
摘要/Abstract
摘要：
研究一类分数阶微分方程边值问题，其非线性项包含未知函数的Riemman-Liouville分数阶导数.利用格林函数的性质和单调迭代的方法得到该边值问题存在2个解的充分性条件，构造迭代序列来逼近这2个解，并举例说明了结果的有效性.
Abstract：
A class of boundary value problems of fractional differential equations are investigated,which involves the Riemman-Liouville fractional derivative of the unknown function in the nonlinear term.Existence of two solutions is obtained by applying the properties of Green function and the monotone iteration technique.Two iterative sequences are established to approximate the solutions.An example is given to illustrate the validity of the result.
关键词
Key words：
fractional differential equation
;
boundary value problem
;
monotone iterative
;
solution
参考文献 10
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