Geodesic
Existence and Stability Analysis of Sequential Coupled System of Hadamard-Type Fractional Differential Equations
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 1, p. 85

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In this paper we study existence, uniqueness and Hyers-Ulam stability for a sequential coupled system consisting of fractional differential equations of Hadamard type, subject to nonlocal Hadamard fractional integral boundary conditions. The existence of solutions is derived from Leray-Schauder's alternative, whereas the uniqueness of solution is established by Banach contraction principle. An example is also presented which illustrate our results.
Classification : 26A33, 34A08, 35B40
Keywords: Hadamard fractional derivative, sequential coupled system, fixed point theorem, Hyers-Ulam stability 
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     title = {Existence and {Stability} {Analysis} of {Sequential} {Coupled} {System} of {Hadamard-Type} {Fractional} {Differential} {Equations}},
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Akbar Zada; Mohammad Yar. Existence and Stability Analysis of Sequential Coupled System of Hadamard-Type Fractional Differential Equations. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 1, p. 85 . http://geodesic.mathdoc.fr/item/KJM_2022_46_1_a6/