Fuzzy generalized fractional power series technique for simulating fuzzy fractional relaxation problem
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer link
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the fuzzy generalized fractional power series method is proposed to obtain the numerical solutions of a class of fuzzy fractional relaxation problems. For this purpose, the fuzzy generalized fractional power series under different types of the Caputo generalized Hukuhara differentiability are introduced. Some theorems are generalized for the fuzzy generalized fractional power series. This method is based on first taking the truncated fuzzy generalized fractional power series of the functions in the relaxation problem and then substituting them into the equation. Hence, the result equation can be solved, and the unknown fuzzy coefficients can be found. In addition, to demonstrate the efficiency of the method, some examples are solved. © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
Açıklama
Anahtar Kelimeler
Caputo Generalized Hukuhara Differentiability, Fuzzy Fractional Relaxation Problems, Fuzzy Generalized Fractional Power Series Method, Fuzzy Triangular Numbers
Kaynak
Soft Computing
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
Sayı
Künye
Ebdalifar, K., Allahviranloo, T., Rostamy-Malkhalifeh, M., & Behzadi, M. H. (2022). Fuzzy generalized fractional power series technique for simulating fuzzy fractional relaxation problem. Soft Computing, 1-14.
