Inequalities involving trigonometric functions are used in many applications in various fields of mathematics such as difference equations and inequalities [1], theory of stability, theory of approximations, etc.
Silver nanoparticles are widely used in many applications in various fields such as bio-labeling, sensors, antimicrobial agents, filters, microelectronics, and catalysis.
Yttria is widely used in many applications in various fields such as white LEDs [1], photovoltaic cells, up-conversion phosphors [2], lighting, sensors, and transparent ceramics [3], due to its excellent chemical stability.
Fractional differential operators appear naturally in modeling many phenomena in various fields of engineering, physics and economics, for example, nonlinear oscillations of earthquakes, seepage flow in porous media and dynamic traffic flow model.
The fractional differential equations are valuable tools in the modeling of many phenomena in various fields of science and engineering; so, they attracted many researchers (cf., e.g., [1 6] and references therein).
In contemporary society, many specialists in various fields have difficulty communicating clearly with each other, but given well-researched and informed visual expressions of concepts, such visual models can successfully catalyze a good design process.
Recently, fractional differential equations have been proved to be valuable tools in the modeling of many phenomena in various fields of science and engineering, such as rheology, dynamical processes in self-similar and porous structures, heat conduction, control theory, electroanalytical chemistry, chemical physics, economics, etc.
Precision adjustment has many applications in various fields, particularly in laser generation systems and precision engineering.
Fractional differential equations have been proved to be new and valuable tools in the modeling of many phenomena in various fields of engineering, physics, and economics.
