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Study on the stability for implicit second-order differential equation via integral boundary conditions | ||
Journal of Mathematical Modeling | ||
دوره 10، شماره 2، شهریور 2022، صفحه 331-348 اصل مقاله (201.18 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2021.19931.1725 | ||
نویسندگان | ||
Ahmed Mohamed Ahmed El-Sayed1؛ Hind Hassan Gaber Hashem2؛ Shorouk Mahmoud Al-Issa* 3 | ||
1Department of Mathematics, Alexandria University, Alexandria, Egypt | ||
2Department of Mathematics, College of Science, Qassim University, P.O. Box 6644 Buraidah 51452, Saudi Arabia | ||
3Department of Mathematics, The International University of Beirut, Beirut, Lebanon | ||
چکیده | ||
In this paper, the existence and the Ulam-Hyers stability of solutions for the implicit second-order differential equations are investigated via fractional-orders integral boundary conditions by direct application of the Banach contraction principle. Finally, we present some particular cases and two examples to illustrate our results. | ||
کلیدواژهها | ||
Caputo fractional derivative؛ second-order fractional-order differential equation؛ Green's function؛ boundary value problems؛ nonlocal boundary conditions | ||
آمار تعداد مشاهده مقاله: 688 تعداد دریافت فایل اصل مقاله: 810 |