Yanli Xi, Xuping Zhang, and Youhui Su.
Uniqueness Results of Fuzzy Fractional Differential Equations Under Krasnoselskii-Krein Conditions
Dynamic Systems and Applications 30 (2021) No. 12, 1792-1801

https://doi.org/10.46719/dsa202130.12.04

ABSTRACT.
In this article, we consider a new uniqueness results for a periodic boundary value problem of fuzzy fractional differential equations (FFDES) involving Caputo generalized Hukuhara differentiability with the Krasnoselskii-Krein condition. To this purpose, the equivalent integral forms of FFDEs are determined and then these are used to study the convergence of the Picard successive approximations.

AMS (MOS) Subject Classification. 03E72, 34K36, 47S40.

Key Words and Phrases. Fuzzy fractional differential equations, Periodic boundary value problem, Caputo generalized Hukuhara differentiability, Krasnoselskii-Krein condition.