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The paper deals with the existence, oscillation, and nonoscillation of solutions to some classes of Caputo fractional q-difference equations and inclusions. The technique of proving employs set-valued analysis, fixed-point theory, and the method of upper and lower solutions., 1. Introduction Fractional differential equations and inclusions are applied in various areas of engineering, mathematics, physics, and other applied sciences (see [1-8], and the references therein). Recently, considerable attention has [...]

We present some results on the existence of attracting solutions of some fractional differential equations of the Hilfer type. The results on the existence of solutions are applied to the Schauder fixed-point theorem. It is proved that all solutions are uniformly locally attracting., UDC 517.9 1. Introduction Fractional differential equations have recently been applied in various areas of engineering, mathematics, physics, bioengineering, and many other applied sciences [1, 2]. For some fundamental results [...]