Open AccessExistence results for coupled system of nonlinear differential equations and inclusions involving sequential derivatives of fractional order
Author(s) -
Murugesan Manigandan,
Muthaiah Subramanian,
T. Nandhagopal,
R. Vadivel,
Bundit Unyong,
Nallappan Gunasekaran
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022045
Subject(s) - mathematics , nonlinear system , uniqueness , order (exchange) , fixed point theorem , mathematical analysis , type (biology) , fractional calculus , differential inclusion , pure mathematics , physics , ecology , finance , quantum mechanics , economics , biology
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.