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Solvability and Stability for Singular Fractional (p,q)-difference Equation
  
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KeyWord:Fractional $(p,q)$-difference equation  Existence of solution  Stability  $(p,q)$-Gronwall inequality  Uniqueness
Author NameAffiliation
Zhongyun Qin School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China 
Shurong Sun 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.