Demonstrates uniqueness and existence of solutions in fuzzy fractional equations, highlighting new mathematical theorems.
This study describes the use of an interactive derivative of Caputo to a fuzzy fractional starting value issue. The beginning setting of the equation is represented by a fuzzy subset, and the differentiation is indicated by F-correlated derivative. In first we provide new and essentials theorems related to F-derivative of order ? ? (0, 1]. Secondly we use these theorems to extract the mild solution of the main problem. Thirdly we demonstrate the uniqueness of solutions by the Schauder fixed point theorem. Lastly, a case study is given to exhibit the correctness of the acquired outcomes.
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Ghazouani et al. (2025) studied this question.
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