Some new generalized Gronwall–Bellman type discrete fractional inequalities

作者：

Highlights：

• Some new Gronwall–Bellman type discrete fractional inequalities are established.

• Explicit bounds for unknown functions in fractional inequalities are derived.

• Properties of solutions of one certain fractional difference equation are researched.

摘要

•Some new Gronwall–Bellman type discrete fractional inequalities are established.•Explicit bounds for unknown functions in fractional inequalities are derived.•Properties of solutions of one certain fractional difference equation are researched.

论文关键词：Gronwall–Bellman type inequality,Discrete fractional difference inequality,Fractional sum inequality,Fractional difference equation,Boundedness

论文评审过程：Available online 18 March 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.03.012