黑龙江科技学院学报
黑龍江科技學院學報
흑룡강과기학원학보
JOURNAL OF HEILONGJIANG INSTITUTE OF SCIENCE & TECHNOLOGY
2012年
5期
537-544
,共8页
分数阶微分方程%p-Laplacian算子%Banach压缩映射原理
分數階微分方程%p-Laplacian算子%Banach壓縮映射原理
분수계미분방정%p-Laplacian산자%Banach압축영사원리
fractional differential equations%p-Laplacian operator%Banach contraction principle
在一定条件下,利用Banach压缩映射原理讨论了具有P-Laplacian算子的分数阶微分方程边值问题解的存在性和唯一性,得到了解存在和唯一的充分条件,并举例说明了结论的适用性。
在一定條件下,利用Banach壓縮映射原理討論瞭具有P-Laplacian算子的分數階微分方程邊值問題解的存在性和唯一性,得到瞭解存在和唯一的充分條件,併舉例說明瞭結論的適用性。
재일정조건하,이용Banach압축영사원리토론료구유P-Laplacian산자적분수계미분방정변치문제해적존재성화유일성,득도료해존재화유일적충분조건,병거례설명료결론적괄용성。
This paper introduces the study on the existence and uniqueness, of solutions for fractional boundary value problems for a fractional differential equations of p-Laplacian operator by applying Banach contraction principle, given certain conditions, offers the sufficient conditions for the existence and uniqueness of solutions, and ends with several examples given to illustrate the results.