20.500.12556/DiRROS-22651 Numerical solution for fuzzy fractional differential equations by fuzzy multi-step methods To solve fractional differential equations, they are typically converted into their corresponding crisp problems through a process known as the embedding method. This paper introduces a novel direct approach to solving fuzzy differential equations using fuzzy calculations, bypassing the need for this transformation. In this study, we develop the fuzzy Adams–Bashforth (A-B) method and the fuzzy Adams–Moulton (A-M) method to find numerical solutions for fuzzy fractional differential equations (FFDEs) with fuzzy initial values. To demonstrate the accuracy and efficiency of the proposed methods, we determine both the local truncation error and the global truncation error. Additionally, we establish the convergence and stability of these methods in detail. Finally, numerical examples are provided to illustrate the flexibility and effectiveness of the proposed methods. fuzzy fractional differential equation generalized Hukuhara difference fuzzy generalized A-B method local truncation error global truncation error fuzzy generalized A-M method convergence stability mehka ulomljena diferencialna enačba posplošena Hukuharova razlika mehka posplošena A-B metoda lokalna odrezna napaka globalna odrezna napaka mehka posplošena A-M metoda konvergenca stabilnost true false true Angleški jezik Slovenski jezik © 2025 by the authors Neznano 2025-06-14 03:37:14 2025-06-19 13:08:21 2025-10-24 03:51:53 0000-00-00 00:00:00 2025 0 0 Nasl. z nasl. zasl.; Opis vira z dne 13. 6. 2025; Soavtorji: Tofigh Allahviranloo, Leo Mrsic and Sovan Samanta; str. 1-21 iss. 4, [article no.] 545 Vol. 17 Sep. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-04-02 51 2073-8994 10.3390/sym17040545 239350787 https://www.mdpi.com/2073-8994/17/4/545 1 5508bf4f-48af-11f0-bf0a-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=32824 RAZ_Safikhani_Leila_2025.pdf RAZ_Safikhani_Leila_2025.pdf 1 521962A1D5EF7AB56B938B8877D311F8 b1687e5bc3af4a2fa2eef2cd86ec0f8095f581b8f0f0538e52c060bdefcf4e6b 15d1dff1-4ced-11f0-bf0a-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=32984 Rudolfovo – Znanstveno in tehnološko središče Novo mesto 0 0 0