A new self-organization of complex networks structure generalized by a new class of fractional differential equations generated by 3D-gamma function

IF 3.7 3区综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES

Journal of King Saud University - Science Pub Date : 2024-11-12 DOI:10.1016/j.jksus.2024.103512

Ibtisam Aldawish , Rabha W. Ibrahim

引用次数: 0

Abstract

In this note, we suggest a generalization of gamma function to be 3D-gamma function. As a consequence, some special functions are generalized including the Mittag–Leffler function. Moreover, we utilize the generalized Mittag–Leffler to extend the AB-fractional calculus. Examples are introduced to cover our theory. The solvability of abstract Riccati equation is considered, and Hyers–Ulam stability is discovered in the sequel. Based on the new study, we design new stable of Self-organization in complex networks (SOCNs).

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由三维伽马函数生成的一类新分式微分方程概括的复杂网络结构自组织新方法

在本说明中，我们建议将伽马函数泛化为三维伽马函数。因此，包括 Mittag-Leffler 函数在内的一些特殊函数也得到了广义化。此外，我们还利用广义的 Mittag-Leffler 扩展了 AB 分数微积分。我们还引入了一些例子来阐述我们的理论。我们考虑了抽象 Riccati 方程的可解性，并在后文发现了 Hyers-Ulam 稳定性。在新研究的基础上，我们设计了新的复杂网络自组织（SOCN）稳定性。

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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来源期刊

Journal of King Saud University - Science Multidisciplinary-Multidisciplinary

CiteScore

7.20

自引率

2.60%

发文量

642

审稿时长

49 days

期刊介绍： Journal of King Saud University – Science is an official refereed publication of King Saud University and the publishing services is provided by Elsevier. It publishes peer-reviewed research articles in the fields of physics, astronomy, mathematics, statistics, chemistry, biochemistry, earth sciences, life and environmental sciences on the basis of scientific originality and interdisciplinary interest. It is devoted primarily to research papers but short communications, reviews and book reviews are also included. The editorial board and associated editors, composed of prominent scientists from around the world, are representative of the disciplines covered by the journal.