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Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach
Journal article   Open access  Peer reviewed

Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach

Rabia Ilyas Butt, Thabet Abdeljawad, Manar A. Alqudah and Mujeeb Ur Rehman
Journal of inequalities and applications, Vol.2019(1), pp.1-13
29/11/2019
DOI: https://doi.org/10.1186/s13660-019-2257-6

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this article, we discuss the existence and uniqueness of solution of a delay Caputo q-fractional difference system. Based on the q-fractional Gronwall inequality, we analyze the Ulam-Hyers stability and the Ulam-Hyers-Rassias stability. An example is provided to support the theoretical results.
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https://doi.org/10.1186/s13660-019-2257-6View
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