...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science >On the fuzzy fractional differential equation with interval Atangana-Baleanu fractional derivative approach
【24h】

On the fuzzy fractional differential equation with interval Atangana-Baleanu fractional derivative approach

机译：atangana-baleanu分数衍生方法的模糊分数微分方程

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The fuzzy systems with interval approach use an infinite valued parameter in the range of [0,1] as a confidence degree of belief. This parameter makes more complicity but plays the main role in creating the fuzzy solution of the fuzzy systems. In solving process of the model, the Atangana-Baleanu derivative in the fractional case of differential equations has a memory to use all the previous information. Therefore this is as a key point and advantage of using this derivative to reduce the complicity of numerical results in comparison with other known derivatives. In this paper, first, the ABC fractional derivative on fuzzy set-valued functions in parametric interval form is defined. Then it is applied for proving the existence and uniqueness of the solution of fuzzy fractional differential equation with ABC fractional derivative. In general, it is shown that the last interval model is as a coupled system of nonlinear equations. To solve the final system an efficient numerical method called ABC-PI is used. For more illustration, several examples are solved numerically and analyzed by the figures. (C) 2019 Elsevier Ltd. All rights reserved.
机译：具有间隔方法的模糊系统使用[0,1]范围内的无限值参数作为信仰的置信度。该参数使得更加愉快，但在创建模糊系统的模糊解决方案方面发挥了主要作用。在求解模型过程中，差分方程的分数情况下的Atangana-Balanu衍生物具有用于使用所有先前信息的存储器。因此，这是使用该衍生物来减少与其他已知衍生物相比的数值结果的共同性的关键点和优点。在本文中，首先，定义了在参数间隔形式中的模糊设定值函数上的ABC分数衍生。然后应用于证明具有ABC分数衍生物的模糊分数微分方程解决的存在和唯一性。通常，示出最后一个间隔模型作为非线性方程的耦合系统。为了解决最终系统，使用一种称为ABC-PI的有效数值方法。有关更多的说明，数值上求解几个例子并由附图分析。 （c）2019年elestvier有限公司保留所有权利。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号