Academic literature on the topic 'Operator theory – Miscellaneous applications of operator theory – Applications in chemistry and life sciences'

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Journal articles on the topic "Operator theory – Miscellaneous applications of operator theory – Applications in chemistry and life sciences"

1

Sahoo, Soubhagya Kumar, Muhammad Tariq, Hijaz Ahmad, Ayman A. Aly, Bassem F. Felemban, and Phatiphat Thounthong. "Some Hermite–Hadamard-Type Fractional Integral Inequalities Involving Twice-Differentiable Mappings." Symmetry 13, no. 11 (2021): 2209. http://dx.doi.org/10.3390/sym13112209.

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The theory of fractional analysis has been a focal point of fascination for scientists in mathematical science, given its essential definitions, properties, and applications in handling real-life problems. In the last few decades, many mathematicians have shown their considerable interest in the theory of fractional calculus and convexity due to their wide range of applications in almost all branches of applied sciences, especially in numerical analysis, physics, and engineering. The objective of this article is to establish Hermite-Hadamard type integral inequalities by employing the k-Rieman
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Gulistan, Muhammad, Hafiz Wahab, Florentin Smarandache, Salma Khan, and Sayed Shah. "Some Linguistic Neutrosophic Cubic Mean Operators and Entropy with Applications in a Corporation to Choose an Area Supervisor." Symmetry 10, no. 10 (2018): 428. http://dx.doi.org/10.3390/sym10100428.

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In this paper, we combined entropy with linguisti neutrosophic cubic numbers and used it in daily life problems related to a corporation that is going to choose an area supervisor, which is the main target of our proposed model. For this, we first develop the theory of linguistic neutrosophic cubic numbers, which explains the indeterminate and incomplete information by truth, indeterminacy and falsity linguistic variables (LVs) for the past, present, as well as for the future time very effectively. After giving the definitions, we initiate some basic operations and properties of linguistic neu
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Sahoo, Soubhagya Kumar, Muhammad Tariq, Hijaz Ahmad, Jamshed Nasir, Hassen Aydi, and Aiman Mukheimer. "New Ostrowski-Type Fractional Integral Inequalities via Generalized Exponential-Type Convex Functions and Applications." Symmetry 13, no. 8 (2021): 1429. http://dx.doi.org/10.3390/sym13081429.

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Recently, fractional calculus has been the center of attraction for researchers in mathematical sciences because of its basic definitions, properties and applications in tackling real-life problems. The main purpose of this article is to present some fractional integral inequalities of Ostrowski type for a new class of convex mapping. Specifically, n–polynomial exponentially s–convex via fractional operator are established. Additionally, we present a new Hermite–Hadamard fractional integral inequality. Some special cases of the results are discussed as well. Due to the nature of convexity theo
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Azeem, Muhammad, Muhammad Farman, Ali Akgül, and Manuel De la Sen. "Fractional Order Operator for Symmetric Analysis of Cancer Model on Stem Cells with Chemotherapy." Symmetry 15, no. 2 (2023): 533. http://dx.doi.org/10.3390/sym15020533.

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Cancer is dangerous and one of the major diseases affecting normal human life. In this paper, a fractional-order cancer model with stem cells and chemotherapy is analyzed to check the effects of infection in individuals. The model is investigated by the Sumudu transform and a very effective numerical method. The positivity of solutions with the ABC operator of the proposed technique is verified. Fixed point theory is used to derive the existence and uniqueness of the solutions for the fractional order cancer system. Our derived solutions analyze the actual behavior and effect of cancer disease
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Ahmmad, Jabbar, Tahir Mahmood, Nayyar Mehmood, Khamika Urawong, and Ronnason Chinram. "Intuitionistic Fuzzy Rough Aczel-Alsina Average Aggregation Operators and Their Applications in Medical Diagnoses." Symmetry 14, no. 12 (2022): 2537. http://dx.doi.org/10.3390/sym14122537.

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Managing ambiguous and asymmetric types of information is a very challenging task under the consideration of classical data. Furthermore, Aczel-Alsina aggregation operators are the new developments in fuzzy sets theory. However, when decision-makers need to use these structures in fuzzy rough structures, these operators fail to deal with such types of values, as fuzzy rough structures use lower and upper approximation spaces. Thus, an encasement of an intuitionistic fuzzy set has a chance of data loss, whereas an intuitionistic fuzzy rough set can resolve the problem of data loss. Motivated by
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Tariq, Muhammad, Asif Ali Shaikh, and Sotiris K. Ntouyas. "Some New Fractional Hadamard and Pachpatte-Type Inequalities with Applications via Generalized Preinvexity." Symmetry 15, no. 5 (2023): 1033. http://dx.doi.org/10.3390/sym15051033.

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The term convexity associated with the theory of inequality in the sense of fractional analysis has a broad range of different and remarkable applications in the domain of applied sciences. The prime objective of this article is to investigate some new variants of Hermite–Hadamard and Pachpatte-type integral inequalities involving the idea of the preinvex function in the frame of a fractional integral operator, namely the Caputo–Fabrizio fractional operator. By employing our approach, a new fractional integral identity that correlates with preinvex functions for first-order differentiable mapp
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"Classification And Errors Analysis of COVID-19 Using Supervised Machine Learning Algorithm and Visualisation." NeuroQuantology 20, no. 15 (2022): 6282–91. http://dx.doi.org/10.48047/nq.2022.20.15.nq88629.

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During pandemic many people died as a result of the covid-19 sickness, which appeared in 2019 andspreadovertheworld.TheobjectiveofresearchworkistowardstheoccurrenceofCOVIDtoimproveclassificationaccuracy and threshold curve predictions on real-life dataset for Receiver Operator Characteristics(ROC)value.This paper goals the real-life COVID patients from the five countries to test the experiment. The proposedmethodology involves of two steps; used Weka for calculating the accuracy by applying Decision Table machinelearning classifier and compare the results of all the five countries, secondly, t
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