Investigation of the maxwell rheological model using mikusinski operational algebra

Mirzoev, Akmal, Isomova, Sabohat, Abdulfatto , Raximjon, Ahmadov, Ilhom

Innovation science and technologiy · 2026-yil

Annotatsiya

This paper investigates the classical Maxwell rheological model using Mikusiński operational algebra anddevelops its operator-algebraic representation. The relevance of the study is motivated by the need for a unified mathematicalframework for describing the constitutive behavior of complex rheological media. The methodology is based onMikusiński operational calculus, operator algebra, and the theory of operator polynomials. In the proposed approach, thetime-derivative operator in the Maxwell model is treated as an algebraic element, enabling the constitutive equation tobe transformed into an operator-polynomial form and an operator solution to be obtained. Based on this formulation, therelationship between stress and strain is analyzed from an operator-algebraic perspective. Furthermore, the applicabilityof the proposed formalism to the unified representation of the Kelvin–Voigt, Standard Linear Solid, and other linear viscoelasticmodels in operator-polynomial form is demonstrated. The results provide a mathematical basis for developingadvanced modeling and operator-algebraic analysis methods for rheological models

Maqola ma’lumotlari
MualliflarMirzoev, Akmal, Isomova, Sabohat, Abdulfatto , Raximjon, Ahmadov, Ilhom
JurnalInnovation science and technologiy
NashriyotТошкент давлат иқтисодиёт университети
Nashr sanasi2026-08-01
Jild2
Son8
Betlar124-130
TilIngliz
Ilmiy sohaIqtisodiyot
DOI10.5281/zenodo.22090985
Indeksga qo‘shilgan2026-08-26

DOI: 10.5281/zenodo.22090985 · Maqolaning asl sahifasi

Kalit so‘zlar

Maxwell model, Mikusiński operational algebra, operational calculus, operator algebra, operator polynomial, rheological model, constitutive equation, linear viscoelasticity

Ilmiy soha

Iqtisodiyot

Iqtibos keltirish

APAMirzoev, Akmal, Isomova, Sabohat, Abdulfatto , Raximjon, & Ahmadov, Ilhom (2026). INVESTIGATION OF THE MAXWELL RHEOLOGICAL MODEL USING MIKUSINSKI OPERATIONAL ALGEBRA. Innovation science and technologiy, 2(8), 124-130. https://doi.org/10.5281/zenodo.22090985
GOST (OAK)Mirzoev, Akmal va b. INVESTIGATION OF THE MAXWELL RHEOLOGICAL MODEL USING MIKUSINSKI OPERATIONAL ALGEBRA // Innovation science and technologiy. – 2026. – T. 2, № 8. – P. 124-130. – DOI: 10.5281/zenodo.22090985.
MLAMirzoev, Akmal, Isomova, Sabohat, Abdulfatto , Raximjon, and Ahmadov, Ilhom. “INVESTIGATION OF THE MAXWELL RHEOLOGICAL MODEL USING MIKUSINSKI OPERATIONAL ALGEBRA.” Innovation science and technologiy, 2(8), 124-130, 2026. https://doi.org/10.5281/zenodo.22090985
ChicagoMirzoev, Akmal, Isomova, Sabohat, Abdulfatto , Raximjon, and Ahmadov, Ilhom. “INVESTIGATION OF THE MAXWELL RHEOLOGICAL MODEL USING MIKUSINSKI OPERATIONAL ALGEBRA.” Innovation science and technologiy, 2(8), 124-130 (2026). https://doi.org/10.5281/zenodo.22090985
HarvardMirzoev, Akmal, Isomova, Sabohat, Abdulfatto , Raximjon, and Ahmadov, Ilhom (2026) ‘INVESTIGATION OF THE MAXWELL RHEOLOGICAL MODEL USING MIKUSINSKI OPERATIONAL ALGEBRA’, Innovation science and technologiy, 2(8), 124-130. https://doi.org/10.5281/zenodo.22090985
BibTeX
@article{mirzoevakmal2026,
  title = {INVESTIGATION OF THE MAXWELL RHEOLOGICAL MODEL USING MIKUSINSKI OPERATIONAL ALGEBRA},
  author = {Mirzoev, Akmal and Isomova, Sabohat and Abdulfatto , Raximjon and Ahmadov, Ilhom},
  journal = {Innovation science and technologiy},
  year = {2026},
  volume = {2},
  number = {8},
  pages = {124-130},
  doi = {10.5281/zenodo.22090985},
  url = {https://doi.org/10.5281/zenodo.22090985}
}

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