NEW FRACTIONAL DERIVATIVES WITH NONLOCAL AND NON-SINGULAR KERNEL: THEORY AND APPLICATION TO HEAT TRANSFER MODEL

Abdon Atangana; Dumitru Baleanu

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NEW FRACTIONAL DERIVATIVES WITH NONLOCAL AND NON-SINGULAR KERNEL: THEORY AND APPLICATION TO HEAT TRANSFER MODEL

机译：具有非局部和非奇异核的新分数阶导数：理论及其在传热模型中的应用

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摘要

In this manuscript we proposed a new fractional derivative with non-local and no-singular kernel. We presented some useful properties of the new derivative and applied it to solve the fractional heat transfer model.

机译：在此手稿中，我们提出了一种具有非局部和非奇异核的新分数导数。我们介绍了新导数的一些有用特性，并将其应用于求解分数传热模型。

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《Thermal science 》 |2016年第2期| 763-769| 共7页
作者
Abdon Atangana; Dumitru Baleanu;
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正文语种 eng
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fractional derivative; nonlocal kernel; no singular kernel; generalized Mittag-Leffler function; fractional heat transfer model;

机译：分数阶导数;非局部核;无奇异核;广义Mittag-Leffler函数;分数传热模型;

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专利

1. New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model [J] . Atangana Abdon, Baleanu Dumitru Thermal science . 2016 ,第2期

机译：具有非局部和非奇异核的新分数导数：理论和在热传递模型中的应用
2. New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models [J] . Toufik Mekkaoui, Atangana Abdon European Physical Journal Plus . 2017 ,第10期

机译：非局部和非奇异内核分数衍生物的新数值近似：应用于混沌模型的应用
3. General fractional calculus in non-singular power-law kernel applied to model anomalous diffusion phenomena in heat transfer problems [J] . Gao Feng Thermal science . 2017 ,第supplaa1期

机译：非奇异幂律内核中的一般分数演算用于模拟传热问题中的异常扩散现象
4. FRACTIONAL MULTIMODELS -APPLICATION TO HEAT TRANSFER MODELING [C] . R. Malti, M. Aoun, J.-L. Battaglia, IFAC symposium on system identification . 2004

机译：分数多模块 - 复发建模的应用
5. Sharp estimates for Dirichlet heat kernels of the Laplacian, fractional Laplacian and applications. [D] . Mendez Hernandez, Pedro Jose. 2001

机译：对拉普拉斯算子，分数拉普拉斯算子和应用的狄利克雷热核的精确估计。
6. Complex dynamics and control of a novel physical model using nonlocal fractional differential operator with singular kernel [O] . A.E. Matouk, I. Khan 2020

机译：单次内核非读数分数差分运算符的复杂动态和控制新的物理模型
7. New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model [O] . Atangana Abdon, Baleanu Dumitru 2016

机译：具有非局部和非奇异核的新分数导数：理论及其在传热模型中的应用

NEW FRACTIONAL DERIVATIVES WITH NONLOCAL AND NON-SINGULAR KERNEL: THEORY AND APPLICATION TO HEAT TRANSFER MODEL

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