Existence and Stability Results for Impulsive Fractional q-Difference Equation - Journal of Applied Mathematics and Physics

JAMP > Vol.8 No.7, July 2020

Journal of Applied Mathematics and Physics

Volume 8, Issue 7 (July 2020)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

Existence and Stability Results for Impulsive Fractional q-Difference Equation ()

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DOI: 10.4236/jamp.2020.87107 432 Downloads 996 Views Citations

Author(s)

Min Jiang^1*, Rengang Huang²

Affiliation(s)

¹College of Computer and Information Engineering, Guizhou Minzu University, Guiyang, China.
²College of Business, Guizhou Minzu University, Guiyang, China.

ABSTRACT

In this paper, we study the boundary value problem for an impulsive fractional q-difference equation. Based on Banach’s contraction mapping principle, the existence and Hyers-Ulam stability of solutions for the equation which we considered are obtained. At last, an illustrative example is given for the main result.

KEYWORDS

Impulsive Fractional q-Difference Equation, Hyers-Ulam Stability, Existence, q-Calculus

Share and Cite:

Jiang, M. and Huang, R. (2020) Existence and Stability Results for Impulsive Fractional q-Difference Equation. Journal of Applied Mathematics and Physics, 8, 1413-1423. doi: 10.4236/jamp.2020.87107.

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