• New results on Caputo fractional Volterra-Fredholm integro-differential equations with nonlocal conditions 

  Sharif, Abdulrahman A.; Hamoud, Ahmed A.; Hamood, M. M.; Ghadle, Kirtiwant P. (Işık University Press, 2025-02)

  This article investigates the existence and uniqueness of solutions for a nonlocal initial condition of the Caputo fractional Volterra-Fredholm integro-differential equation in a Banach space. We shall prove the existence ...

• Some topological properties of a generalized S-metric space together with some fixed point results and their applications 

  Roy, Kushal (Işık University Press, 2025-02)

  In this paper, the concept of S(p,q)b-metric space is introduced as a generalization of S-metric space, Sb-metric space, (p, q)-metric space and QM(n, b)-metric space. A topology is formed with the help of S(p,q)b-metric ...

• Further results on pair mean cordial graphs 

  Ponraj, R.; Prabhu, S. (Işık University Press, 2025-02)

  Let a graph G = (V, E) be a (p, q) graph. Defin ρ ={ p/2 p is even p−1/2 p is odd, and M = {±1, ±2, · · · ± ρ} called the set of labels. Consider a mapping λ : V → M by assigning different labels in M to the different ...

• Further results on the double Roman domination in graphs 

  Omar, Abdelhak; Bouchou, Ahmed (Işık University Press, 2025-02)

  A Roman dominating function (RDF) on a graph G is a function f : V → {0, 1, 2} satisfying the condition that every vertex u for which f(u) = 0 is adjacent to at least one vertex v for which f(v) = 2. The weight w (f) of a ...

• A convex hull based algorithm for solving the Traveling Salesman Problem 

  Nuriyeva, Fidan; Kutucu, Hakan (Işık University Press, 2025-02)

  This paper introduces a new algorithm for solving the Traveling Salesman Problem, based on the convex hull. The proposed algorithm has two versions, in the first version, starting from the vertices farthest from the center, ...

• Neutrosophic AMR−algebra 

  Chanthini, Perumal; Hemavathi, Perumal; Muralikrishna, Prakasam; Vinodkumar, Raja (Işık University Press, 2025-02)

  In this study, the truth membership function (WT ), indeterminacy membership function (WI ), falsity membership function (WF ) are incorporated with the structure of AMR-algebra. The notion of neutrosophic AMR-algebra is ...

• A new variant of Kikkawa-Suzuki type fixed point theorem for multi-valued mappings with stability analysis and application to Volterra integral inclusion 

  Zaman, Md Shahruz; Goswami, Nilakshi (Işık University Press, 2025-02)

  This paper aims to present a new variant of Kikkawa-Suzuki type common fixed point theorem for multi-valued mappings in the framework of partial metric space. This result is followed by the establishment of a Reich type ...

• Non-intersection power graphs and co-prime graphs of finite groups 

  Swathi, V. V.; Sunitha, M. S. (Işık University Press, 2025-02)

  In this paper, we define the non-intersection power graph of a finite group G as a graph whose vertex set is G, and edge set consists of unordered pairs {u, v} of vertices such that ⟨u⟩ ∩ ⟨v⟩ = {e}. We find some structural ...

• Vertex and edge-vertex graceful labeling on neutrosophic graphs 

  Vetrivel, Govindan; Mullai, Murugappan (Işık University Press, 2025-02)

  A graph G with gracefully numbered labels is known as graceful labeling. An intuitionistic fuzzy graph/ neutrosophic graph, which admits graceful labeling, and if all vertex labels are distinct by each membership, then the ...

• Characterizations of fuzzy ⊥-⊤ distributive lattice in fuzzy lattices 

  Ashok Khubchandani, Payal; Ashok Khubchandani, Jyoti (Işık University Press, 2025-02)

  This paper introduces the notion of fuzzy ⊥-distributive lattice in fuzzy lattice. Additionally, we define the concept of fuzzy ⊥-⊤-distributive lattice in fuzzy lattice. We demonstrate that a fuzzy sectionally semi-complemented ...

• Evacuation planning problems on uniform path length network with prioritized destinations 

  Bhandari, Phanindra Prasad; Khadka, Shree Ram (Işık University Press, 2025-02)

  Optimization models for evacuation with capability of holding evacuees at intermediate places are of particular interest when all the evacuees cannot be sent to the safe destination. We study the maximum flow evacuation ...

• Structural properties of signed graphs admitting Roman dominating function 

  Joseph, James; Joseph, Mayamma (Işık University Press, 2025-02)

  A Roman dominating function(RDF) on a signed graph S = (G, σ) is a function f : V (S) → {0, 1, 2} such that (i) f(N[v]) = f(v) + ∑u∈N(v)σ(uv)f(u) ≥ 1 for every vertex v ∈ V (S) and (ii) for any vertex v with f(v) = 0 there ...

• Discretization fractional-order SEIR worm propagation model in computer networks 

  Janagaraj, Rajendran; Jones, G. Maria; Selvam, A. George Maria (Işık University Press, 2025-02)

  This model focuses on the investigation of potential worm-attacking behaviour in networked computers. Using epidemic theory, a discrete fractional order SEIR (Susceptible-Exposed-Infectious-Recovered) model is developed ...

• Reflexive edge strength of nonagon chain graph and triangle ribbon ladder graph 

  Hasanah, A. Iswatun; Indriati, B. Diari (Işık University Press, 2025-02)

  Let G be an undirected, simple and connected graph with vertex set V (G) and egde set E(G). An edge irregular reflexive k-labeling f is labeling such that edges labeled with integers number 1, 2, ..., ke and vertices labeled ...

• Solving higher-order fuzzy differential equations via laplace residual power series approach 

  El Ghazouani, Aziz; Elomari, M’hamed; Melliani, Said (Işık University Press, 2025-02)

  In this paper, we have applied a new method called Laplace residual power series method (LRPSM) introduced by (T. Eriqate et. al. ) for solving n-order fuzzy linear differential equations. The algorithm gains powerful ...

• A numerical solution of the mathematical models for water pollution by shifted Jacobi polynomials 

  Ebrahimzadeh, Asiyeh; Hashemizadeh, Elham; Mirabbasi, Rasoul (Işık University Press, 2025-02)

  Water pollution is one of the most significant environmental issues in developing countries, particularly in relation to drinking water quality. Therefore, monitoring and modeling the quality of water resources is very ...

• Macwilliams identities of the linear codes over Z₄[u,v]/⟨u²,v²,uv,vu⟩ 

  Çalışkan, Basri (Işık University Press, 2025-02)

  In this paper, complete weight enumerators, the symmetrized weight enumerators and the Lee weight enumerators for the linear codes over the ring S = Z₄ +uZ₄ +vZ₄, where u² = v² = uv = vu = 0 are defined. The MacWilliams ...

• Study of some evolution equations involving Riesz fractional derivative with singular initial data 

  Chaib, Mohamed; Taqbibt, Abdellah; Elomari, M’hamed; Melliani, Said (Işık University Press, 2025-02)

  The objective of this work is to study some evolution problems involving the Riesz fractional derivative with singular initial data which can be distributions. It is a question of proving the existence and uniqueness of ...

• On T and ST-coloring of n-Hypercube graph and Kragujevac tree 

  Moran, Rubul; Bora, Niranjan (Işık University Press, 2025-02)

  Let G = (V, E) denotes any graph, where V represents the vertex set and E represents the edge set. Then, T-coloring of a graph is an assignment of non-negative numbers to the vertices of a graph such that the difference ...

• Hybrid the Sine–Cosine wavelet and finite difference method for solving the nonlinear Belousov–Zhabotınsky reaction system 

  Foadian, Saedeh; Pourgholi, Reza (Işık University Press, 2025-02)

  In this paper, a numerical method for solving the nonlinear Belousov–Zhabotinsky reaction system is proposed. The method is based on hybrid function approximations. In the solution process, the time derivative is discretized ...

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