@article{Morsy2024, 
author = {Ahmed Morsy and C. Anusha and Kottakkaran Sooppy Nisar and C. Ravichandran},
title = {Results on generalized neutral fractional impulsive dynamic equation over time scales using nonlocal initial condition},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {8292-8310},
keywords = {neutral differential equations, C∇D, RL∇D, time scales},
url = {https://www.sciopen.com/article/10.3934/math.2024403},
doi = {10.3934/math.2024403},
abstract = {This paper explored the existence and uniqueness of a neutral fractional impulsive dynamic equation over time scales that included nonlocal initial conditions and employed the Caputo-nabla derivative (C   ∇D). The establishment of existence and uniqueness relies on the fine fixed point theorem. Furthermore, a comparison was conducted between the fractional order C   ∇D and the Riemann-Liouville nabla derivative (RL   ∇D) over time scales. Theoretical findings were substantiated through a numerical methodology, and an illustrative graph using MATLAB was presented for the provided example.}
}