Study on the stability for implicit second-order differential equation via integral boundary conditions
Publish place: Journal of Mathematical Modeling، Vol: 10، Issue: 2
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMO-10-2_011
تاریخ نمایه سازی: 19 خرداد 1403
Abstract:
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.
Keywords:
Caputo fractional derivative , second-order fractional-order differential equation , Green's function , boundary value problems , nonlocal boundary conditions
Authors
Ahmed Mohamed Ahmed El-Sayed
Department of Mathematics, Alexandria University, Alexandria, Egypt
Hind Hassan Gaber Hashem
Department of Mathematics, College of Science, Qassim University, P.O. Box ۶۶۴۴ Buraidah ۵۱۴۵۲, Saudi Arabia
Shorouk Mahmoud Al-Issa
Department of Mathematics, The International University of Beirut, Beirut, Lebanon
