@article{Manigandan2022, 
author = {M. Manigandan and Subramanian Muthaiah and T. Nandhagopal and R. Vadivel and B. Unyong and N. Gunasekaran},
title = {Existence results for coupled system of nonlinear differential equations and inclusions involving sequential derivatives of fractional order},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {723-755},
keywords = {Caputo derivatives, coupled system, fixed point, fractional differential equations(FDEs), inclusions, sequential derivatives},
url = {https://www.sciopen.com/article/10.3934/math.2022045},
doi = {10.3934/math.2022045},
abstract = {In this article, we investigate new results of existence and uniqueness for systems of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order and along with new kinds of coupled discrete (multi-points) and fractional integral (Riemann-Liouville) boundary conditions. Our investigation is mainly based on the theorems of Schaefer, Banach, Covitz-Nadler, and nonlinear alternatives for Kakutani. The validity of the obtained results is demonstrated by numerical examples.}
}