期刊文献+

一类奇异非线性分数阶微分方程组正解的存在性与唯一性 被引量:1

Existence and Uniqueness of Positive Solutions for a Class of Singular Nonlinear Systems of Fractional Differential Equations
下载PDF
导出
摘要 基于有序度量空间上的耦合不动点理论,讨论一类奇异非线性分数阶微分方程组正解的存在性与唯一性,得到了该类方程解的存在性与唯一性两个定理. On the basis of a coupled fixed point theorem on ordered metric spaces,we studied the existence and uniqueness of a positive solution for a kind of singular nonlinear fractional differential system of equations boundary value problem and obtained 2theorems the existence and uniqueness of solutions of such equations.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2015年第2期157-160,共4页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11271154)
关键词 奇异分数阶方程组 正解 有序度量 耦合不动点 singular fractional differential system of equations positive solution ordered metric space coupled fixed point
  • 相关文献

参考文献8

  • 1Delbosco D. Rodino L. Existence and Uniqueness for a Nonlinear Fractional Differential Equation[J].J Math Anal Appl , 1996.204(2): 609-625.
  • 2Dicthelm K. Ford NJ. Analysis of Fractional Differential Equations[J].J Math Anal Appl . 2002. 265(2): 229-248.
  • 3Atanackovic T M. Stankovic B. On a System of Differential Equations with Fractional Derivatives Arising in Rod Theory[J].J Phys A. 2004. 37(4): 1241-1250.
  • 4EdwardsJ T. Ford NJ. Simpson A C. The Numerical Solution of Linear Multi-term Fractional Differential Equations: Systems of Equations[J]'J Comput Appl Math. 2002. 148(2): 401-418.
  • 5Miller K S. Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations[M]. "lew York:John Wiley &. Sons. Inc. 1993.
  • 6.lleli M. Samet B. On Positive Solutions for a Class of Singular Nonlinear Fractional Differential Equations[.J/OL]. Bound Value Probl. 2012-07-12. http://www.boundaryvalueproblems.com/content/2012/l/73.
  • 7XU Xiaojie.JIANG Daqing , YUAN Chenjun. Multiple Positive Solutions for the Boundary Value Problem of a Nonlinear Fractional Differential Equation[J]. Nonlinear Anal, 2009. 71(10): 4676-4688.
  • 8HarjaniJ. Lopez B. Sadarangani K. Fixed Point Theorems for Mixed Monotone Operators and Applications to Integral Equations[.1]. Nonlinear Anal. ZO] L 74(5): 1749-1760.

同被引文献2

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部