Ahmad, Ahmad M.Furati, Khaled M.Tatar, Nasser Eddine2022-05-172022-05-172017-05-17Ahmad, 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. 1-16.1072-6691https://hdl.handle.net/10877/15786This 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.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalAsymptotic behaviorFractional integro-differential equationRiemann-Liouville fractional derivativeNonlocal sourceIntegral inequalitiesArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.