A topological index in chemical graph theory, is a numerical value that provides the facts about the entire structure of chemical graphs, particularly for the very useful indices like degree‐based topological indices. The carbon nanotubes are now replaced by boron triangular nanotubes due to their recent discovery and magnificent features. The topological indices in QSAR/QSPR study are used to correspond the physico‐chemical and biological‐activity of chemical alloys. In this work, we derived the edge version of the fourth atom bond connectivity ABC4 index and the fifth geometric‐arithmetic GA5 index for Boron triangular nanotubes.

No abstract

In this study, Sardar sub-equation method (SSM) is employed to obtain the solitary wave solutions for generalized fractional Tzitzéica type equations. By utilizing this method, novel solutions are derived for Tzitzéica, Tzitzéica Dodd-Bullough-Mikhailov (TDBM) and Tzitzéica-Dodd-Bullough (TDB) equations in terms of fractional derivatives. The benefit of SSM is that it offers a wide variety of soliton solutions, consisting of dark, bright, singular, periodic singular as well as combined dark-singular and combined dark-bright solitons. These solutions provide valuable insights into the intricate dynamics of generalized fractional Tzitzéica type evolution equations. Our findings reveal that the proposed method presents a comprehensive and efficient approach to explore exact solitary wave solutions for generalized fractional Tzitzeica type evolution equations.