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Title Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions
Type JournalPaper
Keywords Coupled system; Fractional differential equations; Hadamard derivatives; Multi-point; Integral boundary conditions
Abstract 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.
Researchers Akbar Zada (Fifth Researcher), Dumitru Baleanu (Third Researcher), Jehad Alzabut (Second Researcher), Muthaiah Subramanian (First Researcher), Mohammad Esmael Samei (Fourth Researcher)