On new common fixed point theorems via bipolar fuzzy [Formula: see text]-metric space with their applications.

This research work is devoted to investigating new common fixed point theorems on bipolar fuzzy [Formula: see text]-metric space. Our main findings generalize some of the existence outcomes in the literature. Furthermore, we illustrate our findings by providing some applications for fractional differential and integral equations.

Green synthesis, characterization and biological activities of silver nanoparticles synthesized from .

Background And Purpose: Metal nanoparticles are essential due to their unique catalytic, electrical, magnetic, and optical characteristics, as well as their prospective use in sensing, catalysis, and biological research. In recent years, researchers have focused on developing cost-effective and eco-friendly biogenic practices using the green synthesis of metal nanoparticles (AgNP).

Experimental Approach: In the present study, the aqueous extracts prepared from the leaf, stem, bark, and flower of were used for the synthesis of silver nanoparticles.

Molecular structural, non-linear optical, second order perturbation and Fukui studies of Indole-3-Aldehyde using density functional calculations.

Indole-3-Aldehyde is a new organic non-linear material having good second harmonic generation. The optimized molecular geometry, harmonic vibrational frequencies, infrared intensities of Indole-3-Aldehyde (I3A, C9H7NO) in the ground state were carried out by using density functional theory (B3LYP) method with 6-31G(d,p) basis set. A detailed interpretation of the infrared spectrum of Indole-3-Aldehyde is reported.

Quantum mechanical study and spectroscopic (FT-IR, FT-Raman, 13C, 1H, UV) study, first order hyperpolarizability, NBO analysis, HOMO and LUMO analysis of 4-[(4-aminobenzene) sulfonyl] aniline by ab initio HF and density functional method.

The Fourier transform infrared (FT-IR) and FT-Raman of 4-[(4-aminobenzene) sulfonyl] aniline have been recorded and analyzed. The equilibrium geometry, harmonic vibrational frequencies have been investigated with the help of HF and DFT methods with 6-31G(d,p) as basis set. A detailed interpretation of the vibrational spectra of this compound has been made on the basis of the calculated potential energy distribution (PED).