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

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Keywords

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