Mohammed Dahan Kassim, Nasser Eddine Tatar
Abstract:
In this article we study the asymptotic behavior of solutions of some fractional
differential equations. We prove convergence to power type functions under some
assumptions on the nonlinearities. Our results extend and generalize some existing
well-known results on solutions of ordinary differential equations.
Appropriate estimations and lemmas such as a fractional version of L'Hopital's rule
are used.
Submitted September 15, 2020. Published November 4, 2020.
Math Subject Classifications: 34E10, 26A33, 34A08.
Key Words: Asymptotic behavior; boundedness; fractional differential equation;
Caputo fractional derivative; Riemann-Liouville fractional derivative.
DOI: 10.58997/ejde.2020.111
Show me the PDF file (325 KB), TEX file for this article.
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Mohammed Dahan Kassim Department of Basic Engineering Sciences College of Engineering Imam Abdulrahman Bin Faisal University, P.O. Box 1982 Dammam 31441, Saudi Arabia email: mdkassim@iau.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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