Time Discrete Abstract Fractional Volterra Equations via Resolvent Sequences
Time Discrete Abstract Fractional Volterra Equations via Resolvent Sequences
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DOI：
10.1007/s00009-022-02142-y
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发表时间：
2022-08
影响因子：
1.1
通讯作者：
J. He;Li Peng
中科院分区：
文献类型：
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作者：
J. He;Li Peng
本文主要研究时间离散的沃尔泰拉方程和分数阶离散的沃尔泰拉方程。基于预解式序列的概念，利用Poisson变换建立了离散沃尔泰拉方程解的可解性.作为应用，我们给出了一个特殊的时间离散分数阶沃尔泰拉方程，将其视为时间离散分数阶Rayleigh-Stokes方程。我们还证明了所给解的稳定性。最后，通过一个例子来说明本文的主要结论.
This paper is devoted to the study of time discrete Volterra equations and discrete fractional Volterra equations. Based on a concept of resolvent sequence, we establish the solvability of solutions for discrete Volterra equations by means of the Poisson transformation. As an application, we show a special time discrete fractional Volterra equation that is regarded as time discrete fractional Rayleigh–Stokes equation. We also show the stability of the given solutions. Finally, we get an example to illustrate the main conclusions.