Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions

Subramanian, MuthaiahAlzabut, JehadBaleanu, DumitruSamei, Mohammad EsmaeZada, Akbar2022-04-222022-04-222021Subramanian, Muthaiah...et al. (2021). "Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions", Advances in Difference Equations, Vol. 2021, No. 1.1687-1839http://hdl.handle.net/20.500.12416/5426In this paper, we examine the consequences of existence, uniqueness and stability of a multi-point boundary value problem defined by a system of coupled fractional differential equations involving Hadamard derivatives. To prove the existence and uniqueness, we use the techniques of fixed point theory. Stability of Hyers-Ulam type is also discussed. Furthermore, we investigate variations of the problem in the context of different boundary conditions. The current results are verified by illustrative examples. © 2021, The Author(s).eninfo:eu-repo/semantics/openAccessCoupled SystemFractional Differential EquationsHadamard DerivativesIntegral Boundary ConditionsMulti-PointExistence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditionsExistence, Uniqueness and Stability Analysis of a Coupled Fractional-Order Differential Systems Involving Hadamard Derivatives and Associated With Multi-Point Boundary ConditionsArticle2021110.1186/s13662-021-03414-9