| Citation: |
Zhiyuan Liu, Shurong Sun. SOLVABILITY AND STABILITY OF MULTI-TERM FRACTIONAL DELAY Q-DIFFERENCE EQUATION[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1177-1197. doi: 10.11948/20220411
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SOLVABILITY AND STABILITY OF MULTI-TERM FRACTIONAL DELAY Q-DIFFERENCE EQUATION
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Abstract
The research of multi-term fractional differential equations has attracted the attention of scholars and obtained abundant results in recent years. However, there are few studies on the multi-term fractional q-difference equations. In this paper, we investigate boundary value problems for multi-term fractional delay q-difference equation. By virtue of Banach contraction mapping principle and Leray-Schauder nonlinear alternative theorem, we obtain the uniqueness and existence of the solution. In addition, we get four different results for functional stability, including Ulam-Hyres stability, generalized Ulam-Hyres stability, Ulam-Hyres Rassias stability and generalized Ulam-Hyres Rassias stability. Finally, give relevant examples to demonstrate the main results.
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References
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Zhiyuan Liu, Shurong Sun. SOLVABILITY AND STABILITY OF MULTI-TERM FRACTIONAL DELAY Q-DIFFERENCE EQUATION[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1177-1197. doi: 10.11948/20220411
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