Study on the stability for implicit second-order differential equation via integral boundary conditions

Author(s):

Ahmed Mohamed Ahmed El-Sayed , Hind Hassan Gaber Hashem , Shorouk Mahmoud Al-Issa *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Journal of Mathematical Modeling, Volume:10 Issue: 2, Spring 2022
Pages:
331 to 348
https://www.magiran.com/p2448908