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In the present paper, we establish some compositions formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with k-Struve function Sν,ckS_{\nu ,c}^k as of the kernel. The results are presented in terms of generalized k-Wright function pΨqk_p\Psi _q^k .

The research problem aims to investigate the effect of heat and moisture on the propagation of plane waves in a micropolar hygro-thermoelastic medium. The governing equations of a hygro-thermoelastic micropolar medium are developed and solved to determine the velocity equation. The plane-wave solution reveals that the medium is propagated by two coupled transverse displacement waves, namely Coupled Transverse Micropolar wave (CTM-wave) and Coupled Transverse Displacement wave (CTD-wave). Additionally, three coupled longitudinal waves are observed: thermal diffusion TD-wave, longitudinal displacement P-wave, and moisture diffusion mD-wave. To assess the characteristics of these waves in the micropolar hygrothermal medium, the speed and distance of propagation are calculated for each wave type. This analysis provides information on how fast and how far the P-wave, TD-wave, mD-wave, CTM-wave, and CTD-wave can travel in the medium. Furthermore, the research problem determines the equations for the coefficient of reflection and energy ratio when a coupled plane wave is incident on the medium. These coefficients quantify the amount of reflected energy compared to the incident energy and provide insights into the wave behavior at the interface of the medium. Finally, the variations in energy ratio and reflection coefficient are depicted graphically, allowing for a visual representation of how these quantities change with different parameters or conditions. These graphs provide a comprehensive understanding of the wave behavior and the effects of heat and moisture on the propagation characteristics in the micropolar hygrothermal medium. [ABSTRACT FROM AUTHOR]

The research article investigates the behavior of a functionally graded semiconducting rod with internal heat source of length l under the thermal shock. A sudden heat source is applied to the left boundary of the finite rod. The equations of motion are solved analytically and the analytical expressions of displacement, carrier density, temperature distribution and stresses are obtained. The numerical values of these expressions are calculated and presented graphically to show the effect of non-homogeneity parameter on the components. The variations of the parameters are shown for different theories of thermoelasticity namely Modified Green-Lindsay(MGL) theory, Green-Lindsay(GL) theory, Lord-Shulman(LS) theory and Coupled(CT) theory. [ABSTRACT FROM AUTHOR]

Cow urine shows a synergistic effect with various naturally occurring oils and herbs. In this study, we analyzed how the antibacterial activity of cow urine gets enhanced in the presence of essential oils. The observations suggested that 0.5% or 1% essential oil in combination with cow urine makes cow urine activity better than raw cow urine. Essential oils contain active components and phenolic-like compounds as active ingredients that enhance their antibacterial properties. These active components degrade the bacterial cell wall and inhibit bacterial survival in the oil's environment. A total of 15 samples were prepared from cow urine (CU+0.5% E.O. and CU+1% E.O.). The mixture of cow urine and essential oils were processed and shows better activities than raw cow urine. The activity of all these samples is because of phenolic groups present in cow urine and essential oils. The activity is carried out by agar well diffusion technique against various bacterial isolates and the zone of inhibition was measured in mm. The essential oils of Ginger, Spearmint, Star anise, and Clove were found highly effective in the presence of Cow Urine against the Escherichia coli and Staphylococcus aureus followed by Klebsiella pneumoniae and Bacillus subtilis. It has been concluded from the present study that the (treated) cow urine enhances the activity of essential oils and showed a synergistic effect against the bacterial isolates. [ABSTRACT FROM AUTHOR]

Biometric recognition systems use certain human characteristics such as voice, facial features, fingerprint, iris or hand geometry to identify an individual or verify their identity. These systems have been developed individually for each of these biometric modalities until they achieve remarkable levels of performance. Multimodal biometric systems combine different modalities in a unique recognition system. The multimodal fusion allows to improve the results obtained by a single biometric characteristic and make the system more robust to noise and interference and more resistant to possible attacks. The fusion can be carried out at the level of the signals acquired by the different sensors, of the parameters obtained for each modality, of the scores provided by unimodal experts or of the decision taken by said experts. In the fusion at the level of parameters or scores it is necessary to homogenize the characteristics coming from the different biometric modalities prior to the fusion process. This paper presents development of a multimodal biometric identification system based on two biometrics namely, the fingerprint and finger knuckle. Feature extraction is done using Harris Corner and DWT method and classification is accomplished using Support Vector Machine (SVM) classifier. [ABSTRACT FROM AUTHOR]

In this present work we derived integral transforms such as Euler transform, Laplace transform, and Whittaker transform of K4-function. The results are given in generalized Wright function. Some special cases of the main result are also presented here with new and interesting results. We further extended integral transforms derived here in terms of Gauss Hypergeometric function. [ABSTRACT FROM AUTHOR]

In this paper, the Marichev-Saigo-Maeda fractional integral and differential operators are applied on the generalized function Gρηγ [a,z]. The obtained results are given in the generalized Wright function p ψ q and the Gauss hypergeometric function. [ABSTRACT FROM AUTHOR]

This paper refers to the study of generalized function Gρ,η,r[a,z]. Using generalized function Gρ,η,r[a,z] defined in [2], we derive various integral transform, including Euler transform, Laplace transform, Whittaker transform, Mellin transform, Hankel transform K-transform, P$ transform and Fractional Fourier transform. Some results are expressed in terms of generalized Wright function. The transforms found here are likely to find useful in problem of Sciences, engineering and technology. [ABSTRACT FROM AUTHOR]

The objective of this paper is to set up some finite integral formulas involving the generalized Bessel first kind function negative order of m, modified Bessel function and spherical Bessel function. The result is given in terms of generalized Wright's Hypergeometric functions pΨq. These results are procured with the help of finite integral due to Lavoie and Trottier. Some interesting particular cases in terms of corollary are established here. [ABSTRACT FROM AUTHOR]