Abstract
Abstract: 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.
| Original language | English |
|---|---|
| Pages (from-to) | 183-196 |
| Number of pages | 14 |
| Journal | Journal of Contemporary Mathematical Analysis |
| Volume | 56 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 2021 |
Bibliographical note
Publisher Copyright:© 2021, Allerton Press, Inc.
Keywords
- Caputo fractional derivative
- fractional integro-differential equation
- global solution
- nonexistence
- nonlocal source
ASJC Scopus subject areas
- Analysis
- Control and Optimization
- Applied Mathematics