• Solving existence problems via F-contraction in modified b-metric spaces 

  Karapınar, Erdal; Sedghi, Shaban; Shobe, Nabi (Işık University Press, 2022)

  In this paper, we introduce a new abstract structure, expanded b-metric, as an natural extension of b-metric. We also define basic topological notions in expanded bmetric to able to investigate the existence of fixed point ...

• A two phase age dependent and two-mutation stochastic model of carcinogenesis 

  Venkiteswaran, Gopalakrishnan; Udayabaskaran, Swaminathan; Dora Pravina, C. Thangaraj; Sreelakshmi, Subbarayan (Işık University Press, 2022)

  An age dependent and two-mutation stochastic model of carcinogenesis is formulated and studied. In this model, we introduce a fitness age T, (a positive constant) for each cell to divide into two cells. A normal cell if ...

• Whole domination in graphs 

  Omran, Ahmed Abd Ali; Ibrahim, Thaer A. (Işık University Press, 2022)

  In this paper, a new parameter of domination number in graphs is defined which is called whole domination number denoted by ?wh(G). Some bounds of whole domination number and the number of edges depend on it has been ...

• Analysis of a dynamic contact problem for electro-viscoelastic materials with Tresca’s friction 

  Douib, Bachir; Ammar, Tedjani Hadj; Ahmed, Abdelaziz Azeb (Işık University Press, 2022)

  We consider a mathematical model which describes the dynamic process of contact between two electro-viscoelastic bodies with damage. The contact is bilateral and is modeled with Tresca’s friction law. The damage of the ...

• Some results on k-hypergeometric function 

  Mittal, Ekta; Joshi, Sunil; Suthar, Daya Lal (Işık University Press, 2022)

  In this paper, we establish integral representation and differentiation formulas for k-Gauss hypergeometric function 2F1,k(a, b; c; z) and develops a relationship with k-Confluent hypergeometric function 1F1,k(a, b; c; z), ...

• Amplified eccentric connectivity index of graphs 

  Mathad, Veena; H. N., Sujatha; S., Puneeth (Işık University Press, 2022)

  A new distance based graphical index, coined as amplified eccentric connectivity index, has been established and the formulae to calculate the amplified eccentric connectivity index of some standard graphs, Dutch windmill ...

• A study on finite difference method using explicit and monotone scheme hyperbolic partial differential equation 

  Sowmiya, P.; Revathi, G. K.; Sakthipriya, Mohan (Işık University Press, 2022)

  All the problems almost in science and technology can be expressed mathematically in the form of partial differential equation. Mainly all the types of partial differential equation has a specific characters. Specially ...

• A new approach to find an approximate solution of linear initial value problems with high degree of accuracy 

  Singh, Udaya Pratap (Işık University Press, 2022)

  This work investigates a new approach to find closed form solution to linear initial value problems (IVP). Classical Bernoulli polynomials have been used to derive a finite set of orthonormal polynomials and a finite ...

• {Cn, C4}-Decomposition of the line graph of the complete graph 

  Arthi, K.; Sankari, C.; Sangeetha, R. (Işık University Press, 2022)

  For given positive integer n ? 4, let Cn, Kn and L(Kn) respectively denote a cycle with n edges, a complete graph on n vertices and the line graph of the complete graph Kn. For a given graph G, if H1, H2, ..., Hl are the ...

• On a subclass of meromorphic functions defined by Hilbert space operator 

  Reddy, Pinninti Thirupathi; Bolineni, Venkateswarlu; Niranjan, Hari; Rompilli, Madhuri Shilpa (Işık University Press, 2022)

  In this paper we introduce and study a new subclass of meromorphic functions associated with a certain differential operator on Hilbert space. For this class, we obtain several properties like the coefficient inequality, ...

• Pascal distribution series related to starlike functions with respect to other points 

  Ramachandran, C.; Murugusundaramoorthy, Gangadharan; Vanitha, Lakshminarayan (Işık University Press, 2022)

  The aim of the present paper is to find the necessary and sufficient conditions for subclasses of starlike functions with respect to symmetric points, starlike functions with respect to conjugate points, starlike functions ...

• Split and non-split hub number of graphs 

  Pavithra, M.; Sharada, B. (Işık University Press, 2022)

  A split hub set S in a graph G is a hub set such that the induced subgraph hV \ Si is disconnected. The split hub number of G, denoted by hs(G) is the minimum size of a split hub set in G. In this paper, the split hub ...

• A semi–analytical study of diffusion type multi–term time fractional partial differential equation 

  Pandey, Rishi Kumar; Mishra, Hradyesh Kumar (Işık University Press, 2022)

  This work suggested algorithm for the solution of multi–term time fractional partial differential equation by the application of homotopy analysis fractional Sumudu transform method based on iterative process. The method ...

• A note on Hermite matrix based Narumi polynomials 

  Ali, Mahvish; Qureshi, Mohammad Idris (Işık University Press, 2022)

  In this article, the 2-index 2-variable Hermite matrix based Narumi polynomials are introduced by means of generating function. Some important properties including operational representation and quasi-monomiality of these ...

• Fuzzy modularity and fuzzy complements in fuzzy lattices 

  Wasadikar, Meenakshi Pralhadrao; Khubchandani, Payal Ashok (Işık University Press, 2022)

  In this paper, we study the concept of fuzzy modularity in fuzzy lattices. We also define a fuzzy Birkhoff lattice and study fuzzy complements in fuzzy lattices. We prove that the notions of a right and a left complement ...

• Bargmann’s versus for fractional Fourier transforms and application to the quaternionic fractional Hankel transform 

  Elkachkouri, Abdelatif; Ghanmi, Allal; Hafoud, Ali (Işık University Press, 2022)

  We present a general formalism `a la Bargmann for constructing fractional Fourier transform associated to specific class of integral transforms on separable Hilbert spaces. As concrete application, we consider the quaternionic ...

• Neighborhub number of graphs 

  Mathad, Veena; Khalaf, Shadi Ibrahim; Raikar, Vidya (Işık University Press, 2022)

  Let G be a graph. A neighborhub set (n-hub set) S of G is a set of vertices with the property that for any pair of vertices outside of S, there is a path between them with all intermediate vertices in S and G = S Uv?S < ...

• Highly total prime labeling for some duplicate graph 

  Kavitha, Panneer Selvam (Işık University Press, 2022)

  Let G = (V, E) be a graph with p vertices and q edges. A bijection f : V ?E ? {1, 2, · · · , p+q} is said to be a highly total prime labeling if (i) for each edge e = uv, the labels assigned to u and v are relatively prime ...

• New wave form solutions of time-fractional Gardner equation via fractional Riccati expansion method 

  Karaman, Bahar (Işık University Press, 2022)

  In this current paper, the fractional Riccati expansion method is proposed for obtaining the new exact solutions of the time-fractional Gardner equation. The fractional derivative is considered in the sense of Jumarie’s ...

• On regular fuzzy resolving set 

  Shanmugapriya, R.; Jiny D., Mary (Işık University Press, 2022)

  In a fuzzy graph G, if the degree of each vertex is the same, then it is called a regular fuzzy graph. The representation of ? ? H with respect to the subset H of ? are all distinct then H is called the resolving set of ...

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