Boundary Value Problems of Nonlinear Fractional $q$-Difference (Integral) Equations With Two Fractional Orders and Four-Point Nonlocal Integral Boundary Conditions


Bashir Ahmad, Juan J. Nieto, Ahmed Alsaedi, Hana Al-Hutami




This paper investigates the existence of solutions for nonlinear fractional $q$-difference equations and $q$-difference integral equations involving two fractional orders with four-point nonlocal integral boundary conditions. The existence results are obtained by applying some traditional tools of fixed point theory, and are illustrated with examples.