Asymptotic behavior of solutions of fractional nabla difference equations

作者：Wu, Hongwu^*

来源：Applied Mathematics Letters, 2020, 105: 106302.

DOI：10.1016/j.aml.2020.106302

• Rising function
• Nabla fractional difference
• Asymptotic behavior of solution

This paper is devoted to the problem of solving fractional nabla difference equations. We obtain a general expression of the solution of the fractional nabla difference equation which is different from the discrete Mittag-Leffler function. As an application, we obtain a new asymptotic result expressed in terms of the coefficients and fractional order. Our result is not covered by previously known results.