CAJ | 학술논문

为了解决多点边值问题在实际应用中的求解问题,利用压缩映像原理和不动点理论,研究一类分数阶微分方程m点边值问题解的存在性,将方程求解转化成求映射的不动点,得到了该分数阶微分方程边值问题至少存在一个解的几个充分条件,推广了现有的结果。
위료해결다점변치문제재실제응용중적구해문제,이용압축영상원리화불동점이론,연구일류분수계미분방정m점변치문제해적존재성,장방정구해전화성구영사적불동점,득도료해분수계미분방정변치문제지소존재일개해적궤개충분조건,추엄료현유적결과。
Aimed at the solution to mutil-point boundary problems in practical application,this paper introduces an investigation into a class of m-point boundary value problem for fractional differential equations by using the contraction mapping principle and fixed point theorem and conversion of the solution for equation into fixed point mapping to obtain some sufficient conditions for the existence of at least one solution for the boundary value problem,thus generalizing known results.