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.
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Ebdalifar, K., Allahviranloo, T., Rostamy-Malkhalifeh, M. et al. Fuzzy generalized fractional power series technique for simulating fuzzy fractional relaxation problem. Soft Comput 27, 2171–2184 (2023). https://doi.org/10.1007/s00500-022-07742-0
- Caputo generalized Hukuhara differentiability
- Fuzzy generalized fractional power series method
- Fuzzy fractional relaxation problems
- Fuzzy triangular numbers