Non-Existence of Global Solutions for a Fractional Integro-Differential Problem with a Convolution Kernel

被引：1
作者：
Ahmad, A. M. [1 ]
Furati, K. M. [1 ]
Tatar, N. -E. [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dhahran, Saudi Arabia
来源：
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2021年 / 56卷 / 04期
关键词：
global solution; nonexistence; Caputo fractional derivative; fractional integro-differential equation; nonlocal source; BLOWING-UP SOLUTIONS;
D O I：
10.3103/S1068362321040099
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the nonexistence of nontrivial global solutions for a fractional integro-differential problem in the space of absolutely continuous functions. We provide criteria under which no nontrivial global solutions exist. It is shown that a dissipation of order between zero and one or even a (frictional) dissipation of order one does not help providing global nontrivial solutions. The test function method is used with several derived estimations. Examples with numerical computations are given to illustrate the results.
引用
收藏
页码：183 / 196
页数：14
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