Advances in Difference Equations (Aug 2017)

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

  • Omid S Fard,
  • TA Bidgoli

DOI
https://doi.org/10.1186/s13662-017-1296-x
Journal volume & issue
Vol. 2017, no. 1
pp. 1 – 17

Abstract

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Abstract 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.

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