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Research Article · Open access · Published 10 February 2018

Dynamics and Stability of q-Fractional Order Pantograph Equations With Nonlocal Condition

Vivek Devaraj1, Kuppusamy Kanagarajan1 & Seenith Sivasundaram2

Journal of Mathematics and Statistics, Volume 14, Issue 1, pp. 64–71 · doi.org/10.3844/jmssp.2018.64.71

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Abstract

This paper deals with some existence and Ulam-Hyers-q-Mittag-Leffler stability results for q-fractional order pantograph equation. An application is made of a Darbo's fixed point theorem for the existence of solutions.

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Open access. This article is licensed under a Creative Commons Attribution 3.0 Licence (CC BY 3.0), as printed on the article, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original authors and the source. No permission is needed.

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Devaraj, V., Kanagarajan, K. & Sivasundaram, S. (2018). Dynamics and Stability of q-Fractional Order Pantograph Equations With Nonlocal Condition. Journal of Mathematics and Statistics, 14(1), 64–71. https://doi.org/10.3844/jmssp.2018.64.71

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Dynamics and Stability of q-Fractional Order Pantograph Equations With Nonlocal ConditionJournal of Mathematics and Statistics · Volume 14, Issue 1 · pp. 64–71 · CC BY 3.0Download