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The phrase "applications in numerous fields of science" is correct and usable in written English.
You can use it when discussing the various ways a particular concept, technology, or method is utilized across different scientific disciplines.
Example: "The new technology has applications in numerous fields of science, including biology, chemistry, and physics."
Alternatives: "uses in various scientific domains" or "utilizations across multiple scientific areas".
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During the last three decades or so, due to its demonstrated applications in numerous fields of science and engineering, such as viscoelasticity, neurons, electrochemistry, control, etc. [1 6], more attention was paid to the fractional differential equations.
During the last three decades or so, due to its demonstrated applications in numerous fields of science and engineering, such as viscoelasticity, neurons, electrochemistry, control (see [4 9]), more attention was paid to the fractional differential equations.
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Fractional differential equations as an application of fractional calculus have recently been viewed as a useful mathematical model applied in numerous fields of science and engineering (see [2 11]).
Such processes can be observed in numerous fields of science and technology: control theory, population dynamics, biotechnologies, industrial robotics, etc. [1].
One can find applications of the subject in numerous fields of physical and technical sciences such as biomathematics, blood flow phenomena, ecology, environmental issues, viscoelasticity, aerodynamics, electro-dynamics of complex medium, electrical circuits, electron-analytical chemistry, control theory, etc.
It has several uses in numerous fields of engineering and science.
Recently, fractional differential equations with p-Laplacian operator have gained its popularity and importance due to its distinguished applications in numerous diverse fields of science and engineering, such as viscoelasticity mechanics, non-Newtonian mechanics, electrochemistry, fluid mechanics, combustion theory, and material science.
In the past two decades, the widely investigated subject of fractional calculus has remarkably gained importance and popularity due to its demonstrated applications in numerous diverse fields of science and engineering.
In addition, satisfactory flame-retardant property of polymeric membranes is crucial for their applications in numerous fields.
Carbon nanotubes are interesting for applications in numerous fields.
In addition to having applications for streaming video, super-resolution has many applications in numerous fields.
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