Impact of Two Temperature and Fractional Order Parameters on Visco-thermodiffusive Elastic Plate | Chapter 5 | Fundamental Research and Application of Physical Science Vol. 5

 In this stage, the analysis of the transient answers of visco-thermoelastic material in the context of two hotness fractional generalized thermoelastic spread models is presented. Here, a thermoelastic plate namely initially kept friction-free at a uniform temperature and commit thermal as well as machinelike loadings on both of allure surfaces is considered for the study. The basic equatings and constitutive connections governing the problem are answered in the Laplace-Fourier transformed rule using boundary limits. The expressions accordingly obtained in the transformed rule are too complex to reverse analytically. Hence by applying the mathematical inversion method, results of physical quantities are obtained in the original rule using the tangible data of copper material. The impact of stickiness, two temperature, and partial order parameters on various material quantities is presented clearly. The outcome of this work underlines that stickiness parameters have a meaningful influence on the field quantities, and increasing two temperature limit or decreasing the partial order parameter leads to their smoother dispersion.

Author(s) Details:

Geetanjali Geetanjali,
Department of Mathematics & Scientific Computing, National Institute of Technology, Hamirpur, Himachal Pradesh, 177005, India.

P. K. Sharma,
Department of Mathematics & Scientific Computing, National Institute of Technology, Hamirpur, Himachal Pradesh, 177005, India.

Please see the link here: https://stm.bookpi.org/FRAPS-V5/article/view/10648

An Approach of QRS Detection Using Fractional Order Digital Differentiators | Chapter 15 | Highlights on Medicine and Medical Science Vol. 16

The detection of the QRS complex is a key step in heart rate variability analysis. It has been demonstrated that methods based on differentiation are efficient and thus suitable for real-time analysis. Simultaneously, fractional order digital differentiators are gaining popularity in a variety of fields of study. The proposed transfer functions of digital differentiators are used in this research to attempt to detect QRS complexes. The Continued Fraction Expansion Method is used to obtain the transfer functions in the s domain. For discretization, the Bilinear Transform and the AlAlaoui Transform are used. QRS complexes are detected with the help of these filters. The outcome has been shown to be comparable to traditional methods.

Author (S) Details

B. T. Krishna
Department of Electronics and Communication Engineering, University College of Engineering Kakinada, Jawaharlal Nehru Technological University Kakinada, Kakinada, Andhra Pradesh, 533003, India.

View Book :- https://stm.bookpi.org/HMMS-V16/article/view/2400

Fractional Order Riemann Zeta Factorial Function: A Recent Study | Chapter 3 | Theory and Practice of Mathematics and Computer Science Vol. 10

 The goal of this paper is to apply zeta factorial function theory to the Riemann zeta lfactorial function of fractional order. Using the inverse principle of the generalised difference operator, several equations on the fractional order Riemann zeta factorial function can be produced. Using appropriate instances, the findings are mathematically validated.

Author(s) Details

G. Britto Antony Xavier
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore - 635601, Tamil Nadu, India.

T. Sathinathan
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore - 635601, Tamil Nadu, India.

D. Arun
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore - 635601, Tamil Nadu, India.

View Book :- https://stm.bookpi.org/TPMCS-V10/article/view/1073