Hemalatha, S.Duraisamy, P.Pandiyan, P.Muthaiah, SubramanianBaleanu, Dumitru2022-04-222025-09-182022-04-222025-09-182021Baleanu, Dumitru...et al. (2021). "Existence results for coupled differential equations of non-integer order with riemann-liouville, erdélyi-kober integral conditions", AIMS Mathematics, Vol. 6, No. 12, pp. 13004-130232473-6988https://doi.org/10.3934/math.2021752https://hdl.handle.net/20.500.12416/13344P, Pandiyan/0000-0002-9208-0372; Muthaiah Ph.D, Dr.Subramanian/0000-0001-5281-0935This paper proposes the existence and uniqueness of a solution for a coupled system that has fractional differential equations through Erdelyi-Kober and Riemann-Liouville fractional integral boundary conditions. The existence of the solution for the coupled system by adopting the Leray-Schauder alternative. The uniqueness of solution for the problem can be found using Banach fixed point theorem. In order to verify the proposed criterion, some numerical examples are also discussed.eninfo:eu-repo/semantics/openAccessCaputo DerivativesErdelyi-Kober IntegralsRiemann-Liouville IntegralsCoupled SystemExistenceFixed PointArticle10.3934/math.20217522-s2.0-85114836151