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Eigenvalues play an important role in many fields of applied mathematics to engineering.
Stability theory is one of the most important and rapidly developing fields of applied mathematics and mechanics.
Such problems occur in conformal geometry [1], statistical mechanics [2 4], Chern-Simons vortex theory [5 11] and several other fields of applied mathematics [12 16].
As is well known, the aim of finding solutions to boundary value problems is of main importance in various fields of applied mathematics.
The fractional integral operators, especially, involving various special functions have found significant importance and applications in various fields of applied mathematics.
With advances in genomics, quantitative structural biology, and the modeling of complex systems, there has never been more fertile ground for bringing expertise in the fields of applied mathematics, physics, chemistry, computer science, and engineering to bear on biological problems.
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It is an emerging field in the area of applied mathematics and mathematical physics such as chemistry, biology, economics, image, and signal processing, and it has many applications in many areas of science and engineering [22], for example, viscoelasticity, control theory, heat conduction, electricity, chaos and fractals, etc. [20].
It is well known that vector variational-like inequalities are of importance in the field of applied mathematics.
Since many problems coming from physics, optimization, and economics reduce to find a solution of the equilibrium problem (1.1) (see, for instance, [1, 2]), the equilibrium problem (1.1) is very important in the field of applied mathematics.
The first transition, observed between 1930 and 1940, can be associated to the period when Statistics and Probability merged together, attracting then more applied disciplines like information theory, game theory and statistical mechanics, and leading to the emergence of the field of applied mathematics.
This type of problem arises in the fields like engineering, mathematical physics, and in many areas of applied mathematics.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com