Geodesic
Existence of solutions to nonlinear impulsive fuzzy differential equations
Filomat, Tome 37 (2023) no. 4, p. 1223

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DOI

In this article, we establish the existence and uniqueness of (c1)-differentiable and (c2)-differentiable solutions to first-order nonlinear impulsive fuzzy differential equations under generalized Hukuhara differentiability using the contraction mappings principle. In particular, (c1)-differentiable solutions are written as hyperbolic cosine and sine functions with impulsive terms, which is the main difficulty. An example is provided to prove our results.
DOI : 10.2298/FIL2304223L
Classification : 39B72, 93B05
Keywords: Solutions, existence and uniqueness, (c1)-differentiable solutions, (c2)-differentiable solutions 
Rui Liu; Jinrong Rong Wang; Donal O ; Regan. Existence of solutions to nonlinear impulsive fuzzy differential equations. Filomat, Tome 37 (2023) no. 4, p. 1223 . doi: 10.2298/FIL2304223L
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     title = {Existence of solutions to nonlinear impulsive fuzzy differential equations},
     journal = {Filomat},
     pages = {1223 },
     year = {2023},
     volume = {37},
     number = {4},
     doi = {10.2298/FIL2304223L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2304223L/}
}
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