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Browsing by Author "Subramanian, Muthaiah"

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    Citation Count: Subramanian, 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.
    Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions
    (2021) Subramanian, Muthaiah; Alzabut, Jehad; Baleanu, Dumitru; Samei, Mohammad Esmae; Zada, Akbar; 56389
    In 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).
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    Citation Count: Subramanian, Muthaiah; Baleanu, Dumitru (2020). "Stability and existence analysis to a coupled system of caputo type fractional differential equations with Erdelyi-Kober integral boundary conditions", Applied Mathematics and Information Sciences, Vol. 14, No. 3, pp. 415-424.
    Stability and existence analysis to a coupled system of caputo type fractional differential equations with Erdelyi-Kober integral boundary conditions
    (2020) Subramanian, Muthaiah; Baleanu, Dumitru; 56389
    This article focuses on the Hyers-Ulam type stability, existence and uniqueness of solutions for new types of coupled boundary value problems involving fractional differential equations of Caputo type and augmented with Erdelyi-Kober fractional integral boundary conditions. The nonlinearity relies on the unknown functions. The consequence of the existence is obtained through the Leray-Schauder alternative, whereas the uniqueness of the solution relies on the Banach contraction mapping principle.We analyze the stability of the solutions concerned in the Hyers-Ulam form. As an application, some examples are presented to illustrate the main results. Finally, some variants of the problem are addressed.