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

TL;DR

This paper proves the existence, uniqueness, and exponential boundedness of global solutions to delay fractional differential equations under mild Lipschitz conditions.

Contribution

It introduces new theorems ensuring global solutions and their boundedness for delay fractional differential equations, expanding theoretical understanding.

Findings

Proved existence and uniqueness of solutions

Established exponential boundedness of solutions

Extended fractional differential equations theory

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.