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Math. Comput. Appl. 2017, 22(1), 16; doi:10.3390/mca22010016

On Existence and Uniqueness of Solutions to the Fuzzy Dynamic Equations on Time Scales

1
Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan 36716-41167, Iran
2
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
View Full-Text   |   Download PDF [769 KB, uploaded 8 February 2017]   |  

Abstract

In this paper, we introduce a new metric on the space of fuzzy continuous functions on time scales by using the exponential function, e γ ( t , t 0 ) , where γ > 0 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. View Full-Text
Keywords: delta Hukuhara–Hilger derivative; fuzzy delta integral; time scales; metric space delta Hukuhara–Hilger derivative; fuzzy delta integral; time scales; metric space
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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.

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