Browsing by Author "Park, Choonkil"

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M-Polynomials and Degree-Based Topological Indices of the Molecule Copper(I) Oxide
(Hindawi Ltd, 2021) Chaudhry, Faryal; Shoukat, Iqra; Afzal, Deeba; Park, Choonkil; Cancan, Murat; Farahani, Mohammad Reza
Topological indices are numerical parameters used to study the physical and chemical residences of compounds. Degree-based topological indices have been studied extensively and can be correlated with many properties of the understudy compounds. In the factors of degree-based topological indices, M-polynomial played an important role. In this paper, we derived closed formulas for some well-known degree-based topological indices like first and second Zagreb indices, the modified Zagreb index, the symmetric division index, the harmonic index, the Randic index and inverse Randic index, and the augmented Zagreb index using calculus.
On the Generalized Fractal Calculus of Variations
(Springer Int Publ Ag, 2025) Khalili Golmankhaneh, Alireza; Cattani, Carlo; Park, Choonkil; Furuichi, Shigeru
In this paper, we provide a brief overview of fractal calculus and present a comprehensive study of the calculus of variations for functionals on fractal sets. We begin by introducing the calculus of variations for functionals with several dependent variables on fractal sets. We then explore the calculus of variations for functionals with several independent variables on fractal sets. Subsequently, we investigate the calculus of variations for functionals with both several independent and dependent variables on fractal sets. Finally, we suggest applications of fractal calculus of variations in physics, providing examples and plots to illustrate the details.