Dynamics and Stability of q-Fractional Order Pantograph Equations With Nonlocal Condition
- 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.
DOI: https://doi.org/10.3844/jmssp.2018.64.71
Copyright: © 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