Well-posedness of an initial value problem for fractional diffusion equation with Caputo-Fabrizio derivative

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Well-posedness of an initial value problem for fractional diffusion equation with Caputo-Fabrizio derivative

机译：Caputo-Fabrizio衍生物的分数扩散方程初始值问题良好

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摘要

In this paper, we consider the following Cauchy problem of space-time fractional diffusion equations

机译：在本文中，我们考虑了下列时空分数扩散方程的Cauchy问题

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《Journal of Computational and Applied Mathematics》 |2020年第2020期|共21页
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正文语种 eng
中图分类计算数学;应用数学;
关键词
Fractional derivatives and integrals; Caputo-Fabrizio fractional derivative; Blow up; Well-posedness; Regularity estimates;

机译：分数衍生物和积分;Caputo-Fabrizio分数衍生物;爆炸;良好;规律性估计;

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专利

1. Well-posedness of an initial value problem for fractional diffusion equation with Caputo-Fabrizio derivative [J] . Journal of Computational and Applied Mathematics . 2020,第期

机译：Caputo-Fabrizio衍生物的分数扩散方程初始值问题良好
2. Well-posedness of fractional differential equations with variable-order Caputo-Fabrizio derivative [J] . Zheng Xiangcheng, Wang Hong, Fu Hongfei Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2020,第1期

机译：具有可变量顺序Caputo-Fabrizio衍生物的分数微分方程的良好
3. A second-order accurate scheme for two-dimensional space fractional diffusion equations with time Caputo-Fabrizio fractional derivative [J] . Applied numerical mathematics . 2020,第May期

机译：时间为Caputo-Fabrizio分数阶导数的二维空间分数扩散方程的二阶精确格式
4. Existence Results for Riemann-Liouville Fractional Differential Equations with Non-instantaneous Impulses (Fractional Derivative with Fixed Lower Bound at the Initial Time) [C] . Snezhana Hristova, Krasimira Ivanova International Conference on New Trends in the Applications of Differential Equations in Sciences . 2019

机译：具有非瞬时脉冲的Riemann-Liouville分数微分方程的存在结果（在初始时间固定下限的分数衍生物）
5. Fractional derivatives, fractional differential equations, and their numerical approximation [D] . Hatcher, Christopher 2013

机译：分数阶导数，分数阶微分方程及其数值逼近
6. Finite Difference Method for Time-Space Fractional Advection–Diffusion Equations with Riesz Derivative [O] . Sadia Arshad, Dumitru Baleanu, Jianfei Huang, 2018

机译：具有RIESZ衍生物的时空分数平流扩散方程的有限差分方法
7. Transient heat diffusion with a non-singular fading memory: From the Cattaneo constitutive equation with Jeffrey’s Kernel to the Caputo-Fabrizio time-fractional derivative [O] . Hristov Jordan 2016

机译：具有非奇异衰落记忆的瞬态热扩散：从具有Jeffrey's Kernel的Cattaneo本构方程到Caputo-Fabrizio时间分数导数

Well-posedness of an initial value problem for fractional diffusion equation with Caputo-Fabrizio derivative

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