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Existence of solutions for fractional \(q\)-integrodifference equations with nonlocal fractional \(q\)-integral conditions - MaRDI portal

Existence of solutions for fractional \(q\)-integrodifference equations with nonlocal fractional \(q\)-integral conditions (Q1724192)

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scientific article; zbMATH DE number 7022445
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English
Existence of solutions for fractional \(q\)-integrodifference equations with nonlocal fractional \(q\)-integral conditions
scientific article; zbMATH DE number 7022445

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    Existence of solutions for fractional \(q\)-integrodifference equations with nonlocal fractional \(q\)-integral conditions (English)
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    14 February 2019
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    Summary: We study a class of fractional \(q\)-integrodifference equations with nonlocal fractional \(q\)-integral boundary conditions which have different quantum numbers. By applying the Banach contraction principle, Krasnoselskii's fixed point theorem, and Leray-Schauder nonlinear alternative, the existence and uniqueness of solutions are obtained. In addition, some examples to illustrate our results are given.
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