Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator

Wang, GuotaoRen, XueyanBaleanu, Dumitru2021-01-292021-01-292020Wang, Guotao; Ren, Xueyan; Baleanu, Dumitru (2020). "Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator", Mathematical Methods in the Applied Sciences, Vol. 43, No. 5, pp. 2646-2655.0170-42141099-1476http://hdl.handle.net/20.500.12416/4508The purpose of the current study is to investigate IBVP for spatial-time fractional differential equationwith Hadamard fractional derivative and fractional Laplace operator(-Delta)(beta). 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.eninfo:eu-repo/semantics/closedAccessFractional Laplace OperatorHadamard Fractional DerivativeMaximum PrincipleUniqueness and Continuous DependenceMaximum principle for Hadamard fractional differential equations involving fractional Laplace operatorMaximum Principle for Hadamard Fractional Differential Equations Involving Fractional Laplace OperatorArticle4352646265510.1002/mma.6071