Fractional order systems play a vital role in the study of the abnormal behavior of dynamic systems in physics, biology, viscoelasticity, and in the study of population dynamics.The thing that caught our attention thinking about using the order of the fractional derivatives as a function, where we find some works (mentioned in the introduction), in which the order of the fractional derivative has been used as a function that changes with concentration, time, space, or other independent quantities.Motivated by these works in this manuscript, we studied the existence of solutions of the following hybrid fractional differential equation of variable order involving the ψ-Hilfer fractional derivative H t
The evaluation of green building is very important to obtain a sustainable building that meets the requirements of agreed-upon evaluation systems and classification of building to accredited, silver, gold, or platinum.As we know, sustainable construction plays a major role in providing for current needs and securing the needs of future generations.This study aims to increase the number of evaluation points for the green building indicators during the design phase through some quantitative indicators to support the evaluation process and to increase the building evaluation points.In our results we have achieved about 13.552536 evaluation points out of a total of 15.17305 evaluation points, for five indicators, which are the cooling load index, the energy efficiency index, the water consumption index, the building transparency index, and the percentage of green coverage.These results will support the evaluation team in improving the classification of buildings, obtaining the approved building, and enhancing the accredited certificate according to the required specifications.
The theory of quadratic stochastic operator (QSO) has been significantly developed since it was introduced in 1920s by Bernstein on population genetics.Over the century, many researchers have studied the behavior of such nonlinear operators by considering different classes of QSO on finite and infinite state spaces.However, all these studies do not comprehensively represent the core problem of QSO; i.e., the trajectory behavior.Recently, a class of QSO called Lebesgue QSO has been introduced and studied.Such an operator got its name based on Lebesgue measure which serves as a probability measure of the QSO.The conditions of the Lebesgue QSO have allowed us to consider the possibility of introducing a new measure for such QSO.This research presents a new class of Lebesgue QSO with nonnegative integers parameters generated by a measurable 2-partition on the continual state space X = [ , ] 0 1 .This research aims to study the trajectory behavior of the QSO by reducing its infinite variables into a mapping of one-dimensional simplex.The behavior of such operators will be investigated computationally and analytically, where the computational results conform to the analytical results.We will apply measure and probability theory as well as functional
The objective of the present paper is to study and investigate the geometric properties of Concircular curvature tensor on a Lorentzian Sasakian manifold (in short LS-manifold) endowed with the quartersymmetric non metric connection.This research is also supported with an example that satisfies the conditions of -Concircularly flat and ϒ -Concircularly flat Lorentzian Sasakian manifold endowed with the quarter-symmetric non metric connection.
In this paper, we have implemented Sinc collocation method (SCM) to solve linear systems of higher order Fredholm Volterra integro-differential equations (FVIDEs) with variable coefficients.This method transforms the system FVIDEs into algebraic equations.Two examples are included to illustrate the accuracy and success of the proposed method.We also point out that, as the number of dimensions increases we get satisfactory results, as explained in the figures and tables.
