Dynamical Analysis of Bio-Ethanol Production Model under Generalized Nonlocal Operator in Caputo Sense
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Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The nonlinear fractional-order model of bioethanol production under a generalized nonlocal operator in the Caputo sense is investigated in this work. Theoretical and computational aspects of the considered model are discussed. We prove that the model has at least one solution and a unique solution using the Leray-Schauder and Banach contraction theorems. Using functional analysis, we investigate several types of Ulam-Hyres model stability. We use the predictor-corrector (P-C) method to construct a broad numerical scheme for the model's solution. The proposed numerical method's stability is demonstrated. Finally, we depict the numerical findings geometrically to demonstrate the model's dynamics.
Açıklama
Anahtar Kelimeler
ethanol model, Ulam-Hyres-Rassias stable, generalized Caputo derivative
Kaynak
Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
9
Sayı
19
