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Asawasamrit, Suphawat; Tariboon, Jessada; Ntouyas, Sotiris K.

Existence of solutions for fractional \(q\)-integrodifference equations with nonlocal fractional \(q\)-integral conditions. (English) Zbl 1470.39017

Abstr. Appl. Anal. 2014, Article ID 474138, 12 p. (2014).
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.

Cited in 5 Documents

MSC:

39A13 Difference equations, scaling (\(q\)-differences)
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34K37 Functional-differential equations with fractional derivatives
34A08 Fractional ordinary differential equations
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\textit{S. Asawasamrit} et al., Abstr. Appl. Anal. 2014, Article ID 474138, 12 p. (2014; Zbl 1470.39017)
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References:

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