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| 分数阶一般退化微分系统的通解 |
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张海,赵小文,蒋威
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1. 安庆师范学院数学与计算科学学院,安徽,安庆246011;安徽大学数学科学学院,安徽,合肥230039
2. 安徽大学数学科学学院,安徽,合肥230039
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| 摘要: |
| 本文研究了系数矩阵不足方阵情形的分数阶一般退化微分系统的解.通过定义可解阵对,获得分数阶一般退化微分系统的通解表达式.该结果推广了整数阶退化微分系统和分数阶常微分系统解的相应结论. |
| 关键词: 分数阶积分 分数阶微分 可解阵对 通解 |
| DOI： |
| 分类号:O175.6 |
| 基金项目:国家自然科学基金资助项日，教育部博士点专项科研基金项目，安徽省高校省级自然科学研究重人项目，安徽省高校省级自然科学研究基金资助项目，安徽大学创新团队基金项目 |
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| GENERAL SOLUTION OF GENERAL DEGENERATE DIFFERENTIAL SYSTEMS OF FRACTIONAL ORDER |
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ZHANG Hai,ZHAO Xiao-wen,JIANG Wei
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ZHANG Hai1,2,ZHAO Xiao-wen2,JIANG Wei2 (1. School of Math. and Computational Science,Anqing Teachers College,Anqing 246011,China) (2. School of Mathematical Sciences,Anhui University,Hefei 230039,China)
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| Abstract: |
| This article deals with the solution of general degenerate differential systems of fractional order when coefficient matrices are not square. By defining the solvable matrix pair, the expressions of the general solution for ordinary differential system of fractional order are obtained, and which extend the corresponding ones for degenerate differential systems of integer order and linear ordinary differential systems of fractional order. |
| Key words: fractional order integral fractional order differential solvable matrix pair general solution |
