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- W2077736465 abstract "In this paper, we consider a fractional initial value problem (IVP) in the case where the order ν of the fractional difference satisfies 0 < ν ≤ 1 . We show that solutions of this IVP satisfy a continuity condition both with respect to the order of the difference, ν , and with respect to the initial conditions, and we deduce several important corollaries from this theorem. Thus, we address a complication that arises in the fractional case but not in the classical (integer-order) case." @default.
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- W2077736465 date "2010-06-01" @default.
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- W2077736465 title "Continuity of solutions to discrete fractional initial value problems" @default.
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- W2077736465 doi "https://doi.org/10.1016/j.camwa.2010.03.040" @default.
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