• A novel fractional forecasting model for time dependent real world cases 

  Erdinç, Ümmügülsüm; Bilgil, Halis; Öztürk, Zafer (National Statistical Institute, 2024)

  The grey modelling in the prediction of time series has been one of the interesting study fields recently due to its efficiency and convenience. Fractional grey models, on the other hand, have become preferable, despite ...

• Novel algorithms based on forward-backward splitting technique: effective methods for regression and classification 

  Atalan, Yunus; Hacıoğlu, Emirhan; Ertürk, Müzeyyen; Gürsoy, Faik; Milovanović, Gradimir V. (Springer, 2024)

  In this paper, we introduce two novel forward-backward splitting algorithms (FBSAs) for nonsmooth convex minimization. We provide a thorough convergence analysis, emphasizing the new algorithms and contrasting them with ...

• Some characterizations for a (k, µ)-paracontact metric manifold to be an η-Einstein manifold 

  Uygun, P.; Atçeken, M. (Palestine Polytechnic University, 2024)

  n this paper we introduce the curvature tensors of (k,µ)-paracontact manifold satisfying the conditions (formula presented) According these cases, (k, µ)-paracontact manifolds have been characterized such as η-Einstein.

• Separation, compactness, and sobriety in the category of constant limit spaces 

  Erciyes, Ayhan; Qasim, Muhammad; Alper, Güvey İsmail (Ankara Üniv. Fen Fakültesi, 2024)

  The objective of this article is to characterize each of compact, sober, and Ti for i=0,1,2 constant limit spaces as well as to investigate the relationships between them. Finally, we compare our results in some topological ...

• Certain Results for Invariant Submanifolds of an Almost α-Cosymplectic (k, µ, ν)-Space 

  Uygun, Pakize; Atçeken, Mehmet; Mert, Tuğba (Murat TOSUN, 2024)

  In this paper we present invariant submanifolds of an almost alpha-cosymplectic (k,mu,nu)-space. Then, we gave some results for an invariant submanifold of an almost alpha-cosymplectic (k,mu,nu)-space to be totally geodesic. ...

• On some important characterizations of Lorentz para-Kenmotsu manifolds on some special curvature tensors 

  Mert, Tuğba; Atçeken, Mehmet (World Scientific, 2024)

  In this paper, some properties of Lorentz para-Kenmotsu manifolds are studied using specified curvature tensors. The Lorentz para-Kenmotsu manifold is investigated in terms of the curvature tensors W8 and W9. Initially, ...

• On invariant submanifolds of normal paracontact metric manifolds on generalized B−curvature tensor 

  Mert, Tuğba; Atçeken, Mehmet (University of Nis, 2024)

  SciVal Topics Abstract In this article, pseudoparallel submanifolds for normal paracontact metric manifolds are stud-ied. B-curvature tensor in a normal paracontact metric manifold has been considered. For an invariant ...

• Invariant pseudoparallel submanifold of an SQ-Sasakian manifolds 

  Atçeken, Mehmet; Mert, Tuǧba; Uygun, Pakize (Walter de Gruyter GmbH, 2024)

  The aim of the present paper is to study invariant pseudoparallel submanifolds in an SQ-Sasakian manifold with respect to semisymmetric metric connection. We search the necessary and sufficient conditions for an invariant ...

• Some characterizations for a (k, µ)-paracontact metric manifold to be an η-Einstein manifold 

  Uygun, P.; Atçeken, M. (Palestine Polytechnic University, 2024)

  In this paper we introduce the curvature tensors of (k,µ)-paracontact manifold satisfying the conditions (formula presented) According these cases, (k, µ)-paracontact manifolds have been characterized such as η-Einstein.

• A new application of fractional glucose-insulin model and numerical solutions 

  Öztürk, Zafer; Halis, Bi̇lgi̇l; Sorgun, Sezer (Yildiz Technical University, 2024)

  Along with the developing technology, obesity and diabetes are increasing rapidly among people. The identification of diabetes diseases, modeling, predicting their behavior, conducting simulations, studying control and ...

• Elliptic inversions in taxicab geometry 

  Can, Zeynep (2024)

  The goal of this research is to introduce inversion with respect to an ellipse which is a generalization of the classical circular inversion in taxicab plane and to investigate general properties and basic concepts of this ...

• Pseudoparallel invariant submanifolds of a Para-Sasakian manifold 

  Mert, Tuğba; Atçeken, Mehmet (Matematikçiler Derneği, 2023)

  In this paper, invariant submanifolds of a para-Sasakian manifold have been studied. Some special submanifolds such as pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel, and 2-Ricci generalized pseudoparallel ...

• Analyzing stability and data dependence notions by a novel Jungck-Type iteration method 

  Atalan, Yunus; Erbaş, Esra (Naim ÇAĞMAN, 2023)

  Finding the ideal circumstances for a mapping to have a fixed point is the fundamental goal of fixed point theory. These criteria can also be used for the structure under investigation. One of this theory’s most well-known ...

• A New Note on Convergence and Data Dependence Concept for a Volterra Integral Equation by Fixed Point Iterative Algorithm 

  Atalan, Yunus; Maldar, S. (Islamic Azad University, 2023)

  In this paper, we prove that a three-step iterative algorithm converges strongly to the solution of a functional Volterra integral equation of the second kind. We also show the solution presented in the convergence theorem ...

• On the Almost η−Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms 

  Mert, Tuğba; Atçeken, Mehmet (Emrah Evren KARA, 2023)

  n this paper, we consider Lorentz generalized Sasakian space forms admitting almost η−Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz generalized Sasakian space forms admitting η−Ricci ...

• Inequalities involving general fractional integrals of p-convex functions 

  Işık, İlknur Yeşilce; Tinaztepe, Gültekin; Kemal, Serap; Adilov, Gabil (TUBITAK, 2023)

  The Hermite-Hadamard type inequalities involving fractional integral operations for p-convex functions with respect to another function are studied. Then, the inequalities via Riemann-Liouville and Hadamard fractional ...

• Çaprazlanmış Cat1-Modüller 

  Şahan, Tunçar; Kendir, Emre (Iğdır Üniversitesi, 2023)

  Gruplar üzerindeki çaprazlanmış modüllerin homotopi 2-tipten bağlantılı uzayların bir cebirsel modeli olduğu iyi bilinen bir gerçektir. Ayrıca cat1−gruplar ve grupların kategorisindeki iç kategoriler, diğer bir ifadeyle ...

• Application of Fractional SPR Psychological Disease Model in Turkey and Stability Analysis 

  Öztürk, Zafer; Bilgil, Halis; Sorgun, Sezer (Mahmut Akyiğit, 2023)

  Psychological diseases and their treatment are problems related to public health. According to data from the World Health Organization, about a billion people have either mental illness or substance use disorder problems ...

• Generalized Sasakian space forms on w0-curvature tensor 

  Mert, Tuğba; Atçeken, Mehmet (Honam Mathematical Journal, 2023)

  In this article, generalized Sasakian space forms are investi-gated on W0-curvature tensor. Characterizations of generalized Sasakian space forms are obtained on W0-curvature tensor. Special curvature con-ditions established ...

• Quaternions and homothetic motions in euclidean and lorentzian spaces 

  Yüca, Gülsüm; Yaylı, Yusuf (Honam Mathematical Journal, 2023)

  In the present paper, we investigate homothetic motions de-termined by quaternions, which is a general form of our previous paper [20]. We introduce a transition between homothetic motions in 3D and 4D Euclidean and ...

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