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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

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

Vivek Devaraj1, Kuppusamy Kanagarajan1 and Seenith Sivasundaram2
  • 1 College of Arts and Science, India
  • 2 College of Engineering, United States

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.

Journal of Mathematics and Statistics
Volume 14 No. 1, 2018, 64-71

DOI: https://doi.org/10.3844/jmssp.2018.64.71

Submitted On: 1 December 2017 Published On: 10 February 2018

How to Cite: 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

Open AccessCopyright: © 2018 Vivek Devaraj, Kuppusamy Kanagarajan and Seenith Sivasundaram. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Fractional q-Fractional Order Pantograph Equation
  • Nonlocal Condition
  • Existence
  • Fixed Point
  • Ulam-Hyers-q-Mittag-Leffler Stability