New Solutions of the Fractional Differential Equations with Modified Mittag-Leffler Kernel

IF 1.9 4区工程技术 Q3 ENGINEERING, MECHANICAL

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-06-16 DOI:10.1115/1.4062747

Z. Odibat, D. Baleanu

引用次数: 1

Abstract

This paper is concerned with some features of the modified Caputo-type Mittag-Leffler fractional derivative operator and its associated fractional integral operator. Mainly, new types of solutions for fractional differential equations with Mittag-Leffler kernel are generated based on a numerical algorithm developed in this paper. The suggested algorithm is used to describe the solution behavior of models involving modified Caputo-type Mittag-Leffler fractional derivatives. The results described in this paper are expected to be effectively employed in the area of simulating related fractional models.

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修正Mittag-Leffler核的分数阶微分方程新解

讨论了改进的caputo型Mittag-Leffler分数阶导数算子及其相关分数阶积分算子的一些特征。本文主要利用一种数值算法，生成了具有Mittag-Leffler核的分数阶微分方程的新型解。该算法用于描述涉及改进caputo型Mittag-Leffler分数阶导数的模型的解行为。本文所描述的结果有望有效地应用于相关分数阶模型的模拟领域。

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 Computational and Nonlinear Dynamics 工程技术-工程：机械

CiteScore

4.00

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.