Maximum principles and applications for fractional differential equations with operators involving Mittag-Leffler function
2021 ◽
Vol 24
(4)
◽
pp. 1220-1230
Keyword(s):
Abstract In this paper, we formulate and prove two maximum principles to nonlinear fractional differential equations. We consider a fractional derivative operator with Mittag-Leffler function of two parameters in the kernel. These maximum principles are used to establish a pre-norm estimate of solutions, and to derive certain uniqueness and positivity results to related linear and nonlinear fractional initial value problems.
2015 ◽
Vol 7
(1)
◽
pp. 53-83
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2010 ◽
Vol 367
(1)
◽
pp. 260-272
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2015 ◽
Vol 53
(4)
◽
pp. 2074-2096
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