Işık Üniversitesi Yayınları: Recent submissions
Now showing items 41-60 of 1310
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On relative uniform convergence of fractional difference sequence of function related to ℓp space
(Işık University Press, 2025-07-01)In this article, we define the notion of relative uniform convergence of fractional difference sequence of the function space rumϕ(∆ᵅ, p), where p ≥ 0. We established many attributes of rumϕ(∆ᵅ, p), including solidity, ... -
Numerical solution of fractional integro-differential equation by collocation Pell-Lucas polynomial method
(Işık University Press, 2025-07-01)The objective of this work is to solve the fractional integro-differential equation using the Pell-Lucas collocation method. In this approach, the fractional derivative is considered in the Caputo sense. The proposed ... -
Solving a fractional nonlinear Schrödinger equation with singular conditions
(Işık University Press, 2025-07-01)In this paper the time-fractional Schr¨odinger equations with singular potentials are studied. Dirac function or even higher-order singularities are allowed. Using the Gronwall lemma and Laplace transforms, we give and ... -
Geometric properties of certain analytic functions
(Işık University Press, 2025-07-01)This paper deals with some geometrical properties of certain subclasses of analytic functions having predetermined second coefficient. Firstly, we determine the growth and distortion estimates for such classes. Moreover, ... -
φ–Nearly Lipschitzian and strongly pseudo-contractive mappings in CATp(0) spaces via fixed point theory
(Işık University Press, 2025-07-01)This paper introduces novel conditions for mappings in CATp(0) spaces, p ≥ 2, that extend existing concepts in the literature. By leveraging the geometric properties of CATp(0) spaces, we establish two fixed point theorems ... -
Harmonic Mean Cordial labeling in the scenario of duplicating graph elements
(Işık University Press, 2025-06-01)All the graphs considered in this article are simple and undirected. Let G = (V (G), E(G)) be a simple undirected Graph. A function f : V (G) → {1, 2} is called Harmonic Mean Cordial if the induced function f*: E(G) → {1, ... -
Characterization of Pythagorean fuzzy k-ideals in Γ-semirings
(Işık University Press, 2025-06-01)In this paper, we introduce the algebraic structures of Pythagorean fuzzy set in Γ semirings. Moreover we characteristics some interesting properties, results. -
The novel Bessel–Maitland function involving some characteristic properties and integral transforms
(Işık University Press, 2025-06-01)Inspired by certain recent generalizations of the Bessel-Maitland function in this paper, we introduce a new extension of the Bessel-Maitland function associated with the beta function. Some of its characteristic properties ... -
Extracting triple connected certified domination number for the strong product of paths and cycles
(Işık University Press, 2025-06-01)A dominating set S of a graph G is said to be a triple connected certified dominating set (TCCD - set) if for every vertex v ∈ S, | N(v) ∩ (V − S) | ≠ 1 and ⟨S⟩ is triple connected. The minimum cardinality of a TCCD - set ... -
Solvability of an inverse coefficient problem for a time-fractional diffusion equation with periodic boundary and integral overdetermination conditions
(Işık University Press, 2025-06-01)This article studies the inverse problem for time-fractional diffusion equations with periodic boundary and integral overdetermination conditions on the rectangular domain. First, we introduce a definition of a classical ... -
Nano topology induced by graphs
(Işık University Press, 2025-06-01)The aim of this paper is to introduce new subgraph types related to given subgraphs of a graph G. Specifically, these are termed c-subgraph, i-subgraph, and bsubgraph of a subgraph H from G, denoted as cH, iH, and bH, ... -
Resistance distance in k-coalescence of certain graphs
(Işık University Press, 2025-06-01)Any graph can be considered as a network of resistors, each of which has a resistance of 1Ω. The resistance distance rij between a pair of vertices i and j in a graph is defined as the effective resistance between i and ... -
Root square mean labeling of arrow graphs with encoding and decoding
(Işık University Press, 2025-06-01)A graph G with p vertices and q edges is called a Root Square mean labeling if it is possible to label the vertices x ∈ v with distinct labels ρ(x) from 1, 2, · · · , q + 1 in such a way that each edge e = ab is labeled ... -
Central star decomposition of complete graphs
(Işık University Press, 2025-06-01)In this paper, we define the central star decomposition of graphs and show that the oriented graphs correspond to central star decomposition of a simple graph and vice versa. -
Probabilistic insights into spatio-temporal garch model with location-dependent parameters
(Işık University Press, 2025-06-01)Spatial data analysis is a burgeoning field with applications ranging across ecology, finance and environmental studies, among others. Particularly, the intersection of space and time in phenomena such as environmental ... -
Existence of solution for impulsive fractional qr-difference equation of implicit form with nonlocal boundary condition
(Işık University Press, 2025-06-01)This study examines the conditions needed for the existence of solutions to an impulsive fractional qr-difference equation with the implicit form. The fractional derivative we analyze in the problem is of the Caputo type, ... -
Regularized gap functions for p-strongly monotone variational-hemivariational inequalities and applications to global error bounds
(Işık University Press, 2025-06-01)The paper studies regularized gap functions for a general class of elliptic variational–hemivariational inequalities by employing the sum rule of Clarke’s generalized directional derivatives. We first devote regularized ... -
Coincidence points in b-metric spaces via l-simulation functions and digraphs
(Işık University Press, 2025-06-01)The study of fixed point theory combining digraphs and L-simulation functions is a new development in the domain of contractive type single valued theory. In this paper, we introduce the notion of a generalized LG- contraction ... -
A study on maximum cardinality r-L(2, 1)-labelling problem on circular-arc graph and its application
(Işık University Press, 2025-06-01)Graph labelling is one of the most applicable problem in graph theory, often applied to solve real-world challenges. This article explores a range of L(2, 1)-labelling problems (L21LPs), specifically focusing on the r-L21LP ... -
On Italian domination number of unary operations of special graphs
(Işık University Press, 2025-06-01)For a graph G = (V, E), an Italian dominating function (IDF) f : V → {0, 1, 2} has the property that for every vertex v ∈ V with f(v) = 0, either v is adjacent to a vertex assigned 2 under f, or v is adjacent to at least ...