The method of lower and upper solutions for mixed fractional four-point boundary value problem with -Laplacian operator

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• 作者：Xiping Liu^a ; ^{xipingliu@163.com} ; Mei Jia^a ; Weigao Ge^b
• 关键词：Fractional differential equation ; Mixed fractional derivatives ; Four-point boundary value problem ; Positive solution ; pp-Laplacian operator ; Lower and upper solutions
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：65
• 期：Complete
• 页码：56-62
• 全文大小：733 K
• 卷排序：65

文摘

Based on the monotone iterative technique, a new method of lower and upper solutions which is used to study the multi-point boundary value problem of nonlinear fractional differential equations with mixed fractional derivatives and pp-Laplacian operator is proposed. Some new results on the existence of positive solutions for the four-point boundary value problem are established. Finally, an example is presented to illustrate the wide range of potential applications of our main results.