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Maximum principles for a class of generalized time-fractional diffusion equations
Fractional Calculus and Applied Analysis ( IF 3 ) Pub Date : 2020-06-01 , DOI: 10.1515/fca-2020-0041
Shengda Zeng 1, 2 , Stanisław Migórski 2, 3 , Van Thien Nguyen 4 , Yunru Bai 2
Affiliation  

Abstract Two significant inequalities for generalized time fractional derivatives at extreme points are obtained. Then, we apply the inequalities to establish the maximum principles for multi-term time-space fractional variable-order operators. Finally, we employ the principles to investigate two kinds of diffusion equations involving generalized time-fractional Caputo derivatives and space-fractional Riesz-Caputo derivatives.

中文翻译:

一类广义时间分数扩散方程的极大值原理

摘要 得到了广义时间分数阶导数在极值点的两个显着不等式。然后,我们应用不等式来建立多项时空分数变阶算子的最大值原理。最后,我们运用该原理研究了广义时间分数阶 Caputo 导数和空间分数 Riesz-Caputo 导数的两种扩散方程。
更新日期:2020-06-01
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