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Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator
Author(s) -
Wang Guotao,
Ren Xueyan,
Baleanu Dumitru
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6071
Subject(s) - hadamard transform , mathematics , fractional calculus , uniqueness , laplace transform , mathematical analysis , hadamard three lines theorem , operator (biology) , mittag leffler function , maximum principle , nonlinear system , hadamard product , mathematical optimization , physics , biochemistry , chemistry , repressor , transcription factor , gene , optimal control , quantum mechanics
The purpose of the current study is to investigate IBVP for spatial‐time fractional differential equation with Hadamard fractional derivative and fractional Laplace operator(−Δ) β . A new Hadamard fractional extremum principle is established. Based on the new result, a Hadamard fractional maximum principle is also proposed. Furthermore, the maximum principle is applied to linear and nonlinear Hadamard fractional equations to obtain the uniqueness and continuous dependence of the solution of the IBVP at hand.