Abstract
This paper introduces the standard Riemann-Liouville-LC fractional derivative D0+βLCRLv(t) for the linear correlated fuzzy-valued function v:J⊂R→RF(E), where β>0, E is a fixed arbitrary fuzzy number. The focus of this study lies in addressing nonlocal problems for multi-order fractional differential systems in the linear correlated fuzzy space RF(E), where the highest order derivative may be greater than one. The solvability of these nonlocal problems is investigated comprehensively, encompassing both cases where E is a symmetric or non-symmetric fuzzy number. The contribution to the calculus literature and the solvability of multi-order fractional differential problems in the fuzzy spaces RF(E) have been presented with some illustrated examples.
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