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Title
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Explicit iteration and unbounded solutions for fractional $q$–difference equations with boundary conditions on an infinite interval
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Type
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JournalPaper
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Keywords
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Fractional q-difference equation; Fractional q-derivative; Unbounded solution; Explicit iteration; Infinite interval
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Abstract
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In this work, a proposed system of fractional boundary value problems is investigated concerning its unbounded solutions’ existence for a class of nonlinear fractional q-difference equations in the context of the Riemann–Liouville fractional q-derivative on an infinite interval. The system’s solution is formulated with the help of Green’s function. A compactness criterion is established in a special space. All the obtained results of uniqueness and existence are investigated with the help of fixed-point theorems. Some essential examples are illustrated to support our main outcomes
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Researchers
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Francisco Martinez (Fourth Researcher), Melike Kaplan6 (Not In First Six Researchers), Mohammed K. A. Kaabar (Third Researcher), Maamar Benbachir (Second Researcher), Abdelatif Boutiara (First Researcher), Mohammad Esmael Samei (Fifth Researcher)
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