Affiliation:
1. School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, China
Abstract
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.
Funder
Graduate Education and Teaching Innovation Project of Shanxi, China
Higher Education Science and Technology Innovation Project of Shanxi, China
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Cited by
1 articles.
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