Analysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operator
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
AMER INST MATHEMATICAL SCIENCES-AIMS
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This study presents a new analytical method to extract the fuzzy solution of the fuzzy initial value problem (FIVP) of fourth-order fuzzy ordinary differential equations (FODEs) using the Laplace operator under the strongly generalized Hukuhara differentiability (SGH-differentiability). To this end, firstly the fourth-order derivative of the fuzzy valued function (FVF) according to the type of the SGH-differentiability is introduced, and then the relationships between the fourth-order derivative of the FVF and its Laplace transform are established. Furthermore, considering the types of differentiabilities and switching points, some fundamental theorems related to the Laplace transform of the fourth-order derivative of the FVF are stated and proved in detail and a method to solve FIVP by the fuzzy Laplace transform is presented in detail. An application of our proposed method in Resistance-Inductance circuit (RL circuit) is presented. Finally, FIVP's solution is graphically analyzed to visualize and support theoretical results.
Açıklama
Anahtar Kelimeler
Fuzzy Numbers, SGH-di Ff Erentiability, Fuzzy Initial -Value Problem, Fuzzy Laplace, Transform, Mittag-Le Ffl Er Function
Kaynak
MATHEMATICAL BIOSCIENCES AND ENGINEERING
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
19
Sayı
12
Künye
Akram, M., Ihsan, T., Allahviranloo, T., Al-Shamiri, M. M. A. (2022). Analysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operator. Mathematical Biosciences and Engineering, 19(2), 11868-11902.
