Asymptotic power type behavior of solutions to a nonlinear fractional integro-differential equation
Date
2017-05-17
Authors
Ahmad, Ahmad M.
Furati, Khaled M.
Tatar, Nasser Eddine
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Asymptotic behavior, Fractional integro-differential equation, Riemann-Liouville fractional derivative, Nonlocal source, Integral inequalities
Citation
Ahmad, A. M., Furati, K. M., & Tatar, N. E. (2017). Asymptotic power type behavior of solutions to a nonlinear fractional integro-differential equation. <i>Electronic Journal of Differential Equations, 2017</i>(134), pp. 1-16.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.