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Zeman Wang, Qiubao Wang, Zikun Han and Xiuying Guo, Inverse uncertainty distribution of solutions for uncertain fractional differential equations, Eur. J. Math. Appl. 6 (2026), Article ID 10.

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Volume 6 (2026), Article ID 10

https://doi.org/10.28919/ejma.2026.6.10

Published: 01/09/2026

Abstract:

Due to the axiomatic differences between uncertainty theory and other stochastic or fuzzy frameworks, developing efficient numerical methods for solving Caputo-type uncertain fractional differential equations remains a challenge. This paper introduces the concept of the α-path for uncertain fractional differential equations (UFDEs) and establishes the existence, uniqueness, and continuity of their solutions. Based on this, the inverse uncertainty distribution of the solution is derived. Finally, a fast numerical algorithm is proposed to efficiently compute the inverse uncertainty distribution of the solution to uncertain fractional differential equations, along with illustrative examples.

How to Cite:

Zeman Wang, Qiubao Wang, Zikun Han and Xiuying Guo, Inverse uncertainty distribution of solutions for uncertain fractional differential equations, Eur. J. Math. Appl. 6 (2026), Article ID 10. https://doi.org/10.28919/ejma.2026.6.10