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

Boutiara A.Benbachir M.Kaabar M.K.A.Martínez F.Samei M.E.Kaplan M.2023-04-112023-04-122023-04-112023-04-122022-01-0110255834https://hdl.handle.net/20.500.12597/3923In 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 intervalArticle10.1186/s13660-022-02764-62-s2.0-85126090602