In:
Journal of Function Spaces, Hindawi Limited, Vol. 2022 ( 2022-9-5), p. 1-14
Kurzfassung:
For fuzzy fractional functional evolution equations, the concept of global and local existence and uniqueness will be presented in this work. We employ the contraction principle and successive approximations for global and local existence and uniqueness, respectively, as given 0 c D q H x I = f I , x I + ∫ 0 I g I , s , x s ds , I ≥ I 0 , I ∈ 0 , T , x I = ψ I − I 0 = ψ 0 ∈ C σ , I 0 ≥ I ≥ I 0 − σ , x ′ I = ψ ′ I = ψ 1 , where C σ denotes the set of fuzzy continuous mapping defined on I 0 − σ , T and σ 〉 1 . We also use this method to solve fuzzy fractional functional evolution equations with fuzzy population models and distributed delays using fuzzy fractional functional evolution equations. To explain these results, some theorems are given. Finally, certain fuzzy fractional functional evolution equations are illustrated.
Materialart:
Online-Ressource
ISSN:
2314-8888
,
2314-8896
DOI:
10.1155/2022/7512754
Sprache:
Englisch
Verlag:
Hindawi Limited
Publikationsdatum:
2022
ZDB Id:
2861541-4
Permalink