On System of Nonlinear Coupled Differential Equations and Inclusions Involving Caputo-Type Sequential Derivatives of Fractional Order

Subramanian, M.Manigandan, M.Tunc, C.Gopal, T. N.Alzabut, J.2025-05-102025-05-1020221658-365510.1080/16583655.2021.20109842-s2.0-85130569763https://doi.org/10.1080/16583655.2021.2010984https://hdl.handle.net/20.500.14720/10000Tunc, Cemil/0000-0003-2909-8753; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138; Muthaiah Ph.D, Dr.Subramanian/0000-0001-5281-0935We investigate a new class of boundary value problems of a nonlinear coupled system of sequential fractional differential equations and inclusions involving Caputo fractional derivatives and boundary conditions. We use standard fixed-point theory tools to deduce sufficient criteria for the existence and uniqueness of solutions to the problems at hand. Examples are discussed to illustrate the validity of the proposed results.eninfo:eu-repo/semantics/openAccessCaputo DerivativesSequential DerivativesFractional Differential Equations (Fdes)InclusionsCoupled SystemExistenceFixed PointOn System of Nonlinear Coupled Differential Equations and Inclusions Involving Caputo-Type Sequential Derivatives of Fractional OrderArticle161Q2Q1123WOS:000752076700001