On Existence and Uniqueness of Solutions to the Fuzzy Dynamic Equations on Time Scales
Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan 36716-41167, Iran
Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman 76169-14111, Iran
Author to whom correspondence should be addressed.
Academic Editor: Fazal M. Mahomed
Received: 12 December 2016 / Revised: 1 February 2017 / Accepted: 1 February 2017 / Published: 8 February 2017
In this paper, we introduce a new metric on the space of fuzzy continuous functions on time scales by using the exponential function,
is a constant. Then, we provide some conditions to prove an existence and uniqueness theorem for solutions to nonlinear fuzzy dynamic equations. Furthermore, we present three different examples including a practical example to illustrate the main results.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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MDPI and ACS Style
Solaymani Fard, O.; Aliabdoli Bidgoli, T.; Rivaz, A. On Existence and Uniqueness of Solutions to the Fuzzy Dynamic Equations on Time Scales. Math. Comput. Appl. 2017, 22, 16.
Solaymani Fard O, Aliabdoli Bidgoli T, Rivaz A. On Existence and Uniqueness of Solutions to the Fuzzy Dynamic Equations on Time Scales. Mathematical and Computational Applications. 2017; 22(1):16.
Solaymani Fard, Omid; Aliabdoli Bidgoli, Tayebeh; Rivaz, Azim. 2017. "On Existence and Uniqueness of Solutions to the Fuzzy Dynamic Equations on Time Scales." Math. Comput. Appl. 22, no. 1: 16.
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