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- W3035376482 abstract "In the last decades, some generalization of theory of ordinary differential equations has been considered to the arbitrary order differential equations by many researchers, the so-called theory of arbitrary order differential equations (often called as fractional order differential equations [FDEs]). Because of the ability for modeling real phenomena, arbitrary order differential equations have been applied in various fields such as control systems, biosciences, bioengineering, and references therein. In this chapter, the authors propose arbitrary order differential equations with respect to another function using fuzzy parameters (initial values and the unknown solutions). The generalized fuzzy Laplace transform is applied to obtain the Laplace transform of arbitrary order integral and derivative of fuzzy-valued functions to solve linear FDEs. To obtain the large class of solutions for FDEs, the concept of generalized Hukuhara differentiability is applied." @default.
- W3035376482 created "2020-06-19" @default.
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- W3035376482 date "2020-06-12" @default.
- W3035376482 modified "2023-09-24" @default.
- W3035376482 title "Arbitrary Order Differential Equations with Fuzzy Parameters" @default.
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- W3035376482 doi "https://doi.org/10.1002/9781119585640.ch7" @default.
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