Cilt:68 Sayı:01 (2019)
http://hdl.handle.net/20.500.12575/75721
2024-03-29T14:46:44ZOn b-coloring of central graph of some graphs
http://hdl.handle.net/20.500.12575/75874
On b-coloring of central graph of some graphs
Kalpana, M.; Vijayalakshmi, D.
The b-chromatic number of G, denoted by ϕ(G), is the maximum k for which G has a b-coloring by k colors. A b-coloring of G by k colors is a proper k-coloring of the vertices of G such that in each color class i there exists a vertex x_{i} having neighbors in all the other k-1 color classes. Such a vertex x_{i} is called a b-dominating vertex, and the set of vertices {x₁,x₂…x_{k}} is called a b-dominating system. In this paper, we are going to investigate on the b-chromatic number of Central graph of Triangular Snake graph, Sunlet graph, Helm Graph, Double Triangular Snake graph, Gear graph, and Closed Helm graph are denoted as C(T_{n}), C(S_{n}), C(H_{n}), C(DT_{n}), C(G_{n}), C(CH_{n}) respectively.
2019-02-01T00:00:00ZApproximate controllability of neutral integrodifferential inclusions via resolvent operators
http://hdl.handle.net/20.500.12575/75873
Approximate controllability of neutral integrodifferential inclusions via resolvent operators
Tamilselvan, M.
In this work, a set of sufficient conditions are established for the approximate controllability for neutral integrodifferential inclusions in Banach spaces. The theory of fractional power and α-norm is used because of the spatial derivatives in the nonlinear term of the system. Bohnenblust-Karlin's fixed point theorem is used to prove our main results. Further, this result is extended to study the approximate controllability for nonlinear functional control system with nonlocal conditions. An example is also given to illustrate our main results.
2019-02-01T00:00:00ZQuasi-subordination and coefficient bounds for certain classes of meromorphic functions of complex order
http://hdl.handle.net/20.500.12575/75872
Quasi-subordination and coefficient bounds for certain classes of meromorphic functions of complex order
Zayed, H. M.; Bulut, Serap; Mostafa, A. O.
In this paper, we obtain Fekete-Szegö functional |a₁-μa₀²| for functions of the classes Σ_{q}^{∗}(ϕ) and Σ_{q,λ,b}^{∗}(g,ϕ) using quasi-subordination. Sharp bounds for the Fekete-Szegö functional |a₁-μa₀²| are obtained. Also, applications of the main results for subclasses of functions defined by Bessel function are also considered.
2019-02-01T00:00:00ZStructural derivatives on time scales
http://hdl.handle.net/20.500.12575/75871
Structural derivatives on time scales
Bayour, Benaoumeur; Torres, Delfim F. M.
We introduce the notion of structural derivative on time scales. The new operator of differentiation unifies the concepts of fractal and fractional order derivative and is motivated by lack of classical differentiability of some self-similar functions. Some properties of the new operator are proved and illustrated with examples.
2019-02-01T00:00:00Z