Ahmad M. Ahmad, Khaled M. Furati, Nasser-Eddine Tatar
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.
Submitted April 27, 2017. Published May 17, 2017
Math Subject Classifications: 35B40, 34A08, 26D10.
Key Words: Asymptotic behavior; fractional integro-differential equation;
Riemann-Liouville fractional derivative; nonlocal source;
integral inequalities.
Show me the PDF file (257 KB), TEX file for this article.
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Ahmad M. Ahmad King Fahd University of Petroleum and Minerals Department of Mathematics and Statistics Dhahran 31261, Saudi Arabia email: mugbil@kfupm.edu.sa |
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Khaled M. Furati King Fahd University of Petroleum and Minerals Department of Mathematics and Statistics Dhahran 31261, Saudi Arabia email: kmfurati@kfupm.edu.sa |
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Nasser-Eddine Tatar King Fahd University of Petroleum and Minerals Department of Mathematics and Statistics Dhahran 31261, Saudi Arabia email: tatarn@kfupm.edu.sa |
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