Analysis of fractional differential equations with fractional derivative of generalized Mittag-Leffler kernel

被引：0
|
作者：
Mohammed Al-Refai
Abdalla Aljarrah
Thabet Abdeljawad
机构：
[1] Yarmouk University,Department of Mathematics
[2] Prince Sultan University,Department of Mathematics and General Sciences
[3] China Medical University,Department of Medical Research
[4] Asia University,Department of Computer Science and Information Engineering
来源：
Advances in Difference Equations | / 2021卷
关键词：
Fractional derivatives; Fractional differential equations; Maximum principle; Mittag-Leffler functions; 26A33; 34A08; 35B50; 33E12;
D O I：
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学科分类号：
摘要：
In this paper, we study classes of linear and nonlinear multi-term fractional differential equations involving a fractional derivative with generalized Mittag-Leffler kernel. Estimates of fractional derivatives at extreme points are first obtained and then implemented to derive new comparison principles for related linear equations. These comparison principles are used to analyze the solutions of the linear multi-term equations, where norm estimates of solutions, uniqueness and several comparison results are established. For the nonlinear problem, we apply the Banach fixed point theorem to establish the existence of a unique solution.
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