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Well-Posedness for Fractional $(p,q)$-Difference Equations Initial Value Problem
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KeyWord:Well-posedness, fractional $(p,q)$-difference equation, initial value problem, fractional $(p,q)$-Gronwall inequality
Author NameAffiliation
Mi Zhou School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China 
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      In this paper, we investigate a class of the fractional $(p,q)$-difference initial value problem with the fractional $(p,q)$-integral boundary conditions with the aid of the method of successive approximations(Picard method) and fractional $(p,q)$-Gronwall inequality, obtaining sufficient conditions for the existence, uniqueness and continuous dependence results of solutions.