3/25/2023 0 Comments Fraction equation calculatorGumah, On the homotopy analysis method for fractional SEIR epidemic model, Res. Baleanu, Fractional electromagnetic equations using fractional forms, Int. Abu Arqub, Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates, Appl. Momani, Structure of optical soliton solution for nonlinear resonant space-time Schrödinger equation in conformable sense with full nonlinearity term, Phys. Zeidan, Exact solutions for some time-fractional evolution equations using lie group theory, Math. Atangana, Fractional Order Analysis: Theory, Methods and Applications, Hoboken: Wiley, 2020.ī. Implementation of Yang residual power series method to solve fractional non-linear systems. systems of fractional differential equationsĬitation: Azzh Saad Alshehry, Roman Ullah, Nehad Ali Shah, Rasool Shah, Kamsing Nonlaopon.The YRPS approach results highlight and show that the approach may be utilized to a variety of fractional models of physical processes easily and with analytical efficiency. It was observed that the proposed method's approximations and exact solutions were completely in good agreement. The behaviour of the approximative solutions is numerically and visually discussed, along with the effect of fraction order $ \varsigma $. Two attractive initial value problems were used to test the technique's applicability and performance. The benefit of the new method is that it requires less computation to get a power series form solution, whose coefficients should be established in a series of algebraic steps. With fewer calculations and greater accuracy, the limit idea is used to solve it in Yang space to produce the YRPS solution for the proposed systems. The suggested approach to handle fractional systems is explained along with its application. The RPS approach and the Yang transform are togethered in the YRPS method. Three-dimensional surface representations relating these variables are also presented to help the reader understand the effects of these variables on the calculated Qs/Qt.In this study, we implemented the Yang residual power series (YRPS) methodology, a unique analytical treatment method, to estimate the solutions of a non-linear system of fractional partial differential equations. These variables are related according to the following equation, which is derived by combining the Fick and the classic shunt equations: Qs/Qt = 1. This tutorial presents an in-depth analysis of the four variables affecting the calculation of Qs/Qt: VO2 (oxygen uptake), Qt (cardiac output), Cc'O2 (oxygen content in pulmonary end capillaries), and CvO2 (oxygen content in mixed venous blood). To interpret properly the changes in calculated Qs/Qt that occur when the inspired oxygen fraction is altered, the changes produced in all the variables affecting Qs/Qt must be known. The breathing of pure oxygen often results in higher calculated Qs/Qt values that have been attributed to the development of atelectasis, ventilation-perfusion imbalance, or both. The pulmonary shunt fraction (Qs/Qt) is frequently calculated in critically ill patients to monitor the effectiveness of pulmonary oxygenation.
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