Abstract
In this paper, we discuss the existence and uniqueness of solutions for the new system of nonlinear mixed type impulsive fuzzy differential equation (1) in the metric space of normal fuzzy convex sets with distance given by maximum of the Hausdorff distance between level sets. Our analysis is fundamentally based on fixed point theory. We obtain some new existence and uniqueness theorems of solutions for this system of first-order impulsive fuzzy differential equations by using Banach fixed point theorem.
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El Hassnaoui, M., Melliani, S., Chadli, L.S., Oukessou, M. (2023). A System Coupled of Nonlinear Impulsive Differential Equations. In: Melliani, S., Castillo, O. (eds) Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization. ICPAMS 2021. Lecture Notes in Networks and Systems, vol 476. Springer, Cham. https://doi.org/10.1007/978-3-031-12416-7_23
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DOI: https://doi.org/10.1007/978-3-031-12416-7_23
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