Boutiara A., Benbachir M., Kaabar M.K.A., Martínez F., Samei M.E., Kaplan M.Boutiara, A, Benbachir, M, Kaabar, MKA, Martinez, F, Samei, ME, Kaplan, M2023-05-092023-05-092022-01-012022.01.011029-242Xhttps://hdl.handle.net/20.500.12597/11899In 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.trueExplicit iteration | Fractional q-derivative | Fractional q-difference equation | Infinite interval | Unbounded solutionExplicit iteration and unbounded solutions for fractional q–difference equations with boundary conditions on an infinite intervalExplicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite intervalArticle10.1186/s13660-022-02764-610.1186/s13660-022-02764-62-s2.0-85126090602WOS:0007640612000012022