Existence, uniqueness and exponential boundedness of global solutions to delay fractional differential equations

Abstract

Under a mild Lipschitz condition we prove a theorem on the existence and uniqueness of global solutions to delay fractional differential equations. Then, we establish a result on the exponential boundedness for these solutions.

12 pages

Cited by in corpus (3)

• A linearized stability theorem for nonlinear delay fractional differential equations
• On initial conditions for fractional delay differential equations
• Stability of scalar nonlinear fractional differential equations with linearly dominated delay