NON-EXISTENCE FOR FRACTIONALLY DAMPED FRACTIONAL DIFFERENTIAL PROBLEMS

作     者：Mohnmmed D,KASSIM Khaled M.FURATI Nasser-eddine TATAR 

作者机构：Department of Mathematics and StatisticsKing Fahd University of Petroleum and MineralsDhahran31261Saudi Arabia 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2017年第37卷第1期

页      面：119-130页

核心收录：

学科分类：07[理学] 081401[工学-岩土工程] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0814[工学-土木工程] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：support provided by King Fahd University of Petroleum and Minerals(KFUPM)through pro ject number IN151035 

主　　题：nonexistence global solution fractional differential equation Riemann-Liouvillefractional integral and fractional derivative 

摘      要：In this paper, we are concerned with a fractional differential inequality containing a lower order fractional derivative and a polynomial source term in the right hand side. A non-existence of non-trivial global solutions result is proved in an appropriate space by means of the test-function method. The range of blow up is found to depend only on the lower order derivative. This is in line with the well-known fact for an internally weakly damped wave equation that solutions will converge to solutions of the parabolic part.