Existence of local solutions for differential equations with arbitrary fractional order

详细信息    查看全文

• 作者：Mohammed M. Matar ; Juan J. Trujillo
• 关键词：Mathematics Subject Classification34A12 ; 34G20 ; 26A33
• 刊名：Arabian Journal of Mathematics
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：5
• 期：4
• 页码：215-224
• 全文大小：554 KB
• 刊物主题：Mathematics, general;
• 出版者：Springer Berlin Heidelberg
• ISSN：2193-5351
• 卷排序：5

文摘

In this paper, we establish sufficient conditions for the existence of local solutions for a class of Cauchy type problems with arbitrary fractional order. The results are established by the application of the contraction mapping principle and Schaefer’s fixed point theorem. An example is provided to illustrate the applicability of the results.