带Mittag-Leffler核的分数阶导数的中值定理和泰勒定理。
IF 4.1
3区 数学
Q1 Mathematics
Advances in Difference Equations
Pub Date : 2018-01-01
Epub Date: 2018-03-09
DOI:10.1186/s13662-018-1543-9
引用次数: 43
摘要
我们建立了用Mittag-Leffler核定义的分数阶微分算子的中值定理和泰勒定理的类似物。利用新的泰勒级数展开式，建立了分数阶Boussinesq方程的新模型。本文章由计算机程序翻译，如有差异，请以英文原文为准。
The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel.
We establish analogues of the mean value theorem and Taylor's theorem for fractional differential operators defined using a Mittag-Leffler kernel. We formulate a new model for the fractional Boussinesq equation by using this new Taylor series expansion.
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来源期刊
自引率
0.00%
发文量
0
审稿时长
4-8 weeks
期刊介绍：
The theory of difference equations, the methods used, and their wide applications have advanced beyond their adolescent stage to occupy a central position in applicable analysis. In fact, in the last 15 years, the proliferation of the subject has been witnessed by hundreds of research articles, several monographs, many international conferences, and numerous special sessions.
The theory of differential and difference equations forms two extreme representations of real world problems. For example, a simple population model when represented as a differential equation shows the good behavior of solutions whereas the corresponding discrete analogue shows the chaotic behavior. The actual behavior of the population is somewhere in between.
The aim of Advances in Difference Equations is to report mainly the new developments in the field of difference equations, and their applications in all fields. We will also consider research articles emphasizing the qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations.
Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.
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