Existence and uniqueness of solutions to the second order fuzzy dynamic equations on time scales

被引：0
作者：
Omid S Fard
TA Bidgoli
机构：
[1] Damghan University,School of Mathematics and Computer Science
[2] Shahid Bahonar University of Kerman,Department of Applied Mathematics, Faculty of Mathematics and Computer
来源：
Advances in Difference Equations | / 2017卷
关键词：
second order fuzzy dynamic equations; Banach’s fixed point theorem; metric space; time scales; 34A05; 34N07;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce a new metric space to study the existence and uniqueness of solutions to second order fuzzy dynamic equations on time scales. In this regard, we use Banach’s fixed point theorem to prove this result. Also, we see that this metric guarantees an elegant and easier proof for the existence of solutions to second order fuzzy dynamic equations on time scales.
引用
收藏
相关论文
共 46 条
  • [1] Liu G(2011)Nonlinear integro-differential equations and optimal control problems on time scales Comput. Math. Appl. 61 155-169
  • [2] Xiang X(2009)Necessary conditions for a class of optimal control problems on time scales Abstr. Appl. Anal. 2009 718-726
  • [3] Peng Y(2010)Detecting separate time scales in genetic expression data BMC Genomics 11 913-926
  • [4] Zhan Z(2006)An application of time scales to economics Math. Comput. Model. 43 637-648
  • [5] Wei W(2007)Maximum principles for second order dynamic equations on time scales J. Math. Anal. Appl. 331 293-305
  • [6] Orlando DA(2004)Second-order periodic boundary value problems on time scales Comput. Math. Appl. 48 700-707
  • [7] Brady SM(2008)Terminal value problems for first and second order nonlinear equations on time scales Electron. J. Differ. Equ. 2008 1-13
  • [8] Fink TMA(2015)Calculus of fuzzy functions on time scales (I) Soft Comput. 19 581-599
  • [9] Benfey PN(2009)Numerical solution of fuzzy differential equations under generalized differentiability Nonlinear Anal. Hybrid Syst. 3 1648-1662
  • [10] Ahnert SE(2015)Existence, uniqueness, and characterization theorems for nonlinear fuzzy integrodifferential equations of Volterra type Math. Probl. Eng. 2015 119-141
12345