Asymptotic power type behavior of solutions to a nonlinear fractional integro-differential equation

Autor: Ahmad M. Ahmad, Khaled M. Furati, Nasser-Eddine Tatar
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2017, Iss 134,, Pp 1-16 (2017)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
Databáze: Directory of Open Access Journals