Browsing by Author "Boutiara A., Benbachir M., Kaabar M.K.A., Martínez F., Samei M.E., Kaplan M."

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    Explicit iteration and unbounded solutions for fractional q–difference equations with boundary conditions on an infinite interval
    (2022-01-01) 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, M
    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.