A solving method for two-dimensional homogeneous system of fuzzy fractional differential equations
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Mathematical Sciences
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The purpose of this study is to extend and determine the analytical solution of a twodimensional homogeneous system of fuzzy linear fractional differential equations with the Caputo derivative of two independent fractional orders. We extract two possible solutions to the coupled system under the definition of strongly generalized H-differentiability, uncertain initial conditions and fuzzy constraint coefficients. These potential solutions are determined using the fuzzy Laplace transform. Furthermore, we extend the concept of fuzzy fractional calculus in terms of the MittagLeffler function involving triple series. In addition, several important concepts, facts, and relationships are derived and proved as property of boundedness. Finally, to grasp the considered approach, we solve a mathematical model of the diffusion process using proposed techniques to visualize and support theoretical results.
Açıklama
Anahtar Kelimeler
System of Fractional Differential Equations, Mittag-Leffler Function, Fuzzy Fractional Calculus, Caputo Fractional Derivative, Diffusion Process
Kaynak
AIMS Mathematics
WoS Q DeÄŸeri
N/A
Scopus Q DeÄŸeri
N/A
Cilt
8
Sayı
1
Künye
Akram, M., Muhammad, G., Allahviranloo, T., & Ali, G. (2023). A solving method for two-dimensional homogeneous system of fuzzy fractional differential equations. AIMS Mathematics, 8(1), 228-263. doi:10.3934/math.2023011
