Discrete fractional Bihari inequality and uniqueness theorem of solutions of nabla fractional difference equations with non-Lipschitz nonlinearities

摘要

In this paper, the discrete fractional Bihari inequality is developed. Based on this inequality, uniqueness theorem of solutions of fractional difference equations with non-Lipschitz nonlinearities is derived. In addition, the effectiveness of proposed results is illustrated by a nonlinear numerical example.