New analysis of fuzzy fractional Langevin differential equations in Caputo's derivative sense
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
AMER INST MATHEMATICAL SCIENCES-AIMS
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The extraction of analytical solution of uncertain fractional Langevin differential equations involving two independent fractional-order is frequently complex and difficult. As a result, developing a proper and comprehensive technique for the solution of this problem is very essential. In this article, we determine the explicit and analytical fuzzy solution for various classes of the fuzzy fractional Langevin differential equations (FFLDEs) with two independent fractional-orders both in homogeneous and non-homogeneous cases. The potential solution of FFLDEs is also extracted using the fuzzy Laplace transformation technique. Furthermore, the solution of FFLDEs is defined in terms of bivariate and trivariate Mittag-Leffler functions both in the general and special forms. FFLDEs are a new topic having many applications in science and engineering then to grasp the novelty of this work, we connect FFLDEs with RLC electrical circuit to visualize and support the theoretical results.
Açıklama
Anahtar Kelimeler
Fuzzy Fractional Langevin Differential Equations, Caputo-Type Fractional Derivative, Fuzzy Laplace Transformation, Bivariate and Trivariate Mittag-Leffler Function, RLC Electrical Circuit
Kaynak
AIMS MATHEMATICS
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
7
Sayı
10
Künye
Akram, M., Muhammad, G., Allahviranloo, T., Ali, G. (2022). New analysis of fuzzy fractional Langevin differential equations in Caputo's derivative sense. Aims Mathematics, 7(10), 18467-18496.
