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- W2018315935 abstract "In this paper, we consider a discrete fractional boundary value problem of the form -??y(t) = f(t+? - 1; y(t + ? - 1)), y(? - 2) = ?(y), y(? + b) = ?(y), where t ? [0,b]N0, f : [? ? 1,... , ? + b - 1]N?-2 x R ? [0,+?) is continuous, ?, ? : C([? - 2; ? + b]N?-2 ) ? R are given functionals, and 1 < ? ? 2. We show that provided that both ? and ? are linear functionals, then under certain conditions the fractional boundary value problem will have at least one positive solution even if neither ? nor ? is nonnegative for all y ? 0. This provides new results not only for the fractional boundary value problem but also in the case when ? = 2. Our results also generalize some recent work on the conjugate fractional boundary value problem. We conclude with two examples to illustrate our results." @default.
- W2018315935 created "2016-06-24" @default.
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- W2018315935 date "2011-01-01" @default.
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- W2018315935 title "On positive solutions to nonlocal fractional and integer-order difference equations" @default.
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- W2018315935 doi "https://doi.org/10.2298/aadm110111001g" @default.
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