NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model

被引：3106

作者：

Atangana, Abdon ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

机构：

[1] Univ Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, Bloemfontein, South Africa

[2] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey

[3] Inst Space Sci, Magurele, Romania

来源：

THERMAL SCIENCE | 2016年 / 20卷 / 02期

关键词：

fractional derivative; non-local kernel; non-singular kernel; generalized Mittag-Leffler function; fractional heat transfer model; EQUATION;

D O I：

10.2298/TSCI160111018A

中图分类号：

O414.1 [热力学];

学科分类号：

070201 [理论物理];

摘要：

In this paper a new fractional derivative with non-local and no-singular kernel is proposed. Some useful properties of the new derivative are presented and applied to solve the fractional heat transfer model.

引用

页码：763 / 769

页数：7

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