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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 |
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| Abstract: |
| 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. |
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