Maximum Principle for Variable-Order Fractional Conformable Differential Equation with a Generalized Tempered Fractional Laplace Operator

Autor: Tingting Guan, Lihong Zhang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Fractal and Fractional, Vol 7, Iss 11, p 798 (2023)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract7110798
Popis: In this paper, we investigate properties of solutions to a space-time fractional variable-order conformable nonlinear differential equation with a generalized tempered fractional Laplace operatorby using the maximum principle. We first establish some new important fractional various-order conformable inequalities. With these inequalities, we prove a new maximum principle with space-time fractional variable-order conformable derivatives and a generalized tempered fractional Laplace operator. Moreover, we discuss some results about comparison principles and properties of solutions for a family of space-time fractional variable-order conformable nonlinear differential equations with a generalized tempered fractional Laplace operator by maximum principle.
Databáze: Directory of Open Access Journals
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