(searched for: doi:10.48185/jmam.v2i3.421)
Published: 17 January 2023
Journal: Fractal and Fractional
Fractal and Fractional, Volume 7; https://doi.org/10.3390/fractalfract7020101
In the paper, we investigate a kind of Hilfer fractional q-difference equations with nonlocal condition. Firstly, the existence and uniqueness results of solutions are obtained by using topological degree theory and Banach fixed point theorem. Subsequently, the existence of extremal solutions in an ordered Banach space is discussed by monotone iterative method. In that following, we consider the Ulam stability results for equations. Finally, two examples are given to illustrate the effectiveness of theory results.