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

AMA Style

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.

Chicago/Turabian Style

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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