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

Document Type : Research Article

Authors

• Ahmed Mohamed Ahmed El-Sayed ¹
• Hind Hassan Gaber Hashem ²
• Shorouk Mahmoud Al-Issa ³

¹ Department of Mathematics, Alexandria University, Alexandria, Egypt

² Department of Mathematics, College of Science, Qassim University, P.O. Box 6644 Buraidah 51452, Saudi Arabia

³ Department of Mathematics, The International University of Beirut, Beirut, Lebanon

Abstract

Keywords

• Caputo fractional derivative
• second-order fractional-order differential equation
• Green's function
• boundary value problems
• nonlocal boundary conditions