Special Session 18: Progress on delay and fractional differential equations with real-world application

On the Uniqueness of Solutions to a Nonlinear Fractional Pantograph-Type Equation with a Functional Initial Condition
Chenkuan Li
Brandon University
Canada
Co-Author(s):    Chenkuan Li
Abstract:
The objective of this paper is to investigate the uniqueness of solutions for a nonlinear fractional pantograph-type equation with proportional delays and a functional initial condition in the space of absolutely continuous functions. The analysis is carried out using the inverse operator method, the multivariate Mittag-Leffler function, and Banach`s fixed-point theorems. An illustrative example is presented to demonstrate the applicability of the main result.