Abstract
This article concerns a general fractional differential equation of order between 1 and 2. We consider the cases where the nonlinear term contains or does not contain other (lower order) fractional derivatives (of Riemann-Liouville type). Moreover, the nonlinearity involves also a nonlinear non-local in time term. The case where this non-local term has a singular kernel is treated as well. It is proved, in all these situations, that solutions approach power type functions at infinity.
| Original language | English |
|---|---|
| Journal | Electronic Journal of Differential Equations |
| Volume | 2017 |
| State | Published - 17 May 2017 |
Bibliographical note
Publisher Copyright:© 2017 Texas State University.
Keywords
- Asymptotic behavior
- Fractional integro-differential equation
- Integral inequalities
- Nonlocal source
- Riemann-Liouville fractional derivative
ASJC Scopus subject areas
- Analysis
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