Explicit iteration and unbounded solutions for fractional q–difference equations with boundary conditions on an infinite interval

نویسندگان

چکیده

Abstract In this work, a proposed system of fractional boundary value problems is investigated concerning its unbounded solutions’ existence for class nonlinear q-difference equations in the context Riemann–Liouville q-derivative on an infinite interval. The system’s solution formulated with help Green’s function. A compactness criterion established special space. All obtained results uniqueness and are fixed-point theorems. Some essential examples illustrated to support our main outcomes.

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2022

ISSN: ['1025-5834', '1029-242X']

DOI: https://doi.org/10.1186/s13660-022-02764-6