与特殊函数相关的分数阶差分解的性质

IF 6.8 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

alexandria engineering journal Pub Date : 2025-10-01 DOI:10.1016/j.aej.2025.09.050

Pshtiwan Othman Mohammed , Dumitru Baleanu , Meraa Arab , Majeed Ahmad Yousif , Shrooq Mohammed Azzo , Thabet Abdeljawad

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引用次数: 0

摘要

本文提出了Riemann-Liouville意义上使用离散分数型的Mittag-Leffler函数的一般思想。本文提出了Riemann-Liouville分数阶差分解的渐近性，以补充其对应的与比较定理相关的Mittag-Leffler解。给出了实例来支持理论结果的断言。此外，采用神经网络（NN）逼近方法对数值解进行了比较和验证，证明了其在逼近离散分数阶问题中的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On behavior of solution for delta fractional differences associated with special functions

In this paper, a general idea of Mittag-Leffler function using discrete fractional of delta-type in the Riemann–Liouville sense is initiated. Asymptotic behavior of solutions associated with the Riemann–Liouville fractional difference is proposed herein to complement its corresponding Mittag-Leffler solution related to comparison theorems. Illustrative examples are presented to support the assertions of the theoretical results. Additionally, Neural Network (NN) approximation is employed to compare and validate the numerical solutions, demonstrating its effectiveness in approximating discrete fractional problems.

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来源期刊

alexandria engineering journal Engineering-General Engineering

CiteScore

11.20

自引率

4.40%

发文量

1015

审稿时长

43 days

期刊介绍： Alexandria Engineering Journal is an international journal devoted to publishing high quality papers in the field of engineering and applied science. Alexandria Engineering Journal is cited in the Engineering Information Services (EIS) and the Chemical Abstracts (CA). The papers published in Alexandria Engineering Journal are grouped into five sections, according to the following classification: • Mechanical, Production, Marine and Textile Engineering • Electrical Engineering, Computer Science and Nuclear Engineering • Civil and Architecture Engineering • Chemical Engineering and Applied Sciences • Environmental Engineering