Equilibrium theory plays a central role in various applied sciences such as physics, mechanics, chemistry, and biology.
On the other hand, the concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, finance, optimization, image reconstruction, network, ecology, sociology, chemistry, biology, engineering sciences, transportation, and other fields.
In this study, we compare the Hodrick Prescott Filter technique with the Fractional filtering technique that has recently started to be used in various applied sciences like physics, engineering, and biology.
The study of such types of problems is motivated by an increasing interest to study the behavior and approximation of the solution sets for many important nonlinear problems arising in mechanics, physics, optimization and control, nonlinear programming, economics, finance, regional structural, transportation, elasticity, engineering, and various applied sciences in a general and unified framework.
Convection reaction-diffusion equations arised from various fields of applied sciences and have received extensive attentions during the past several decades and many topics in the mathematical analysis are well developed and applied to various fields of applied sciences.
In the last few decades welding has evolved from an almost empirical art to a major interdisciplinary activity requiring synthesis of knowledge from various basic and applied sciences and advanced tools.
Now, we conclude our present investigation by remarking that the fractional integration (of Marichev-Saigo-Maeda type) of the products of multivariable H-functions and the first class of multivariable polynomials established in this paper will be useful for investigators in various disciplines of applied sciences and engineering physics.
Recent developments in the theory of fractional calculus show its importance; therefore, the generalized Riemann Liouville fractional operator (widehat{D}^{nu}), the Caputo fractional operator (widehat {mathbf{D}}^{nu}) and the Kober Erdelyi fractional operator (widehat {mathbf{I}}^{nu}_{eta}) will be useful for investigators in various disciplines of applied sciences and engineering physics.
As a matter of fact, problems with integral boundary conditions arise naturally in thermal conduction problems [22], semiconductor problems [23], hydrodynamic problems [24], etc. Integral boundary conditions have various applications in applied sciences such as blood flow problems, chemical engineering, thermoelasticity, underground water flow, population dynamics, etc.
The sub-elliptic obstacle problem arises in various branches of the applied sciences, e.g., in mechanical engineering and robotics, mathematical finance, image reconstruction and neurophysiology.
Some typical problems arising in various branches of science, applied sciences, economics, and engineering such as machine learning, image restoration, and signal recovery can be viewed as this form.
