Solvability and Stability for Singular Fractional (p,q)-difference Equation |
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| Authors: | Zhongyun Qin Shurong Sun |
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| Institution: | School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China |
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| Abstract: | In this paper, we initiate the solvability and stability for a class of singular fractional $(p,q)$-difference equations.
First, we obtain an existence theorem of solution for the fractional $(p,q)$-difference equation. Then, by using a fractional $(p,q)$-Gronwall inequality, some stability criteria of solution are established, which also implies the uniqueness of solution. |
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| Keywords: | Fractional $(p q)$-difference equation Existence of solution Stability $(p q)$-Gronwall inequality Uniqueness |
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