WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 5Citation - Scopus: 9Complex B-Spline Collocation Method for Solving Weakly Singular Volterra Integral Equations of the Second Kind(Univ Miskolc inst Math, 2015) Ramezani, M.; Jafari, H.; Johnston, S. J.; Baleanu, D.In this paper we propose a new collocation type method for solving Volterra integral equations of the second kind with weakly singular kernels. In this method we use the complex B-spline basics in collocation method for solving Volterra integral. We compare the results obtained by this method with exact solution. A few numerical examples are presented to demonstrate the effectiveness of the proposed method.Editorial Citation - WoS: 7Citation - Scopus: 8Fractional Differential Equations of Variable Order: Existence Results, Numerical Method and Asymptotic Stability Conditions(Univ Miskolc inst Math, 2022) GU, CHUAN-YUN; HUANG, LAN-LAN; BALEANU, D. U. M. I. T. R. U.; WU, GUO-CHENGArticle Citation - WoS: 26Citation - Scopus: 23Some Hermite-Jensen Like Inequalities for Convex Functions Through a Certain Generalized Fractional Integrals and Related Results(Univ Miskolc inst Math, 2020) Akdemir, Ahmet Ocak; Nasir, Jamshed; Jarad, Fahd; Butt, Saad IhsanIn this article, in light of Jensen-Mercer inequality for functions whose derivatives in the absolute values are convex, some new Hermite-Jensen-Mercer inequalities have been obtained with the help of generalized types of fractional integral operators generated recently by specified local derivatives.Article Citation - WoS: 11Citation - Scopus: 15On Contractions Via Simulation Functions On Extended B-Metric Spaces(Univ Miskolc inst Math, 2020) Karapinar, Erdal; Chifu, CristianIn this paper, we introduce the notion of an admissible extended Z-contraction mapping in the setting of extended b-metric spaces. As an application, we consider Ulam stability problems based on our contractions. The presented results cover several existing results in the literature.Article Citation - WoS: 35Fixed Point Theorem on Partial Metric Spaces Involving Rational Expressions(Univ Miskolc inst Math, 2013) Tas, Kenan; Karapinar, Erdal; Shatanawi, WasfiWe establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result.Article Citation - WoS: 8A New Numerical Technique for Solving Fractional Partial Differential Equations(Univ Miskolc inst Math, 2018) Baleanu, Dumitru; Acan, OmerWe propose conformable Adomian decomposition method (CADM) for fractional partial differential equations (FPDEs). This method is a new Adomian decomposition method (ADM) based on conformable derivative operator (CDO) to solve FPDEs. At the same time, conformable reduced differential transform method (CRDTM) for FPDEs is briefly given and a numerical comparison is made between this method and the newly introduced CADM. In applied science, CADM can be used as an alternative method to obtain approximate and analytical solutions for FPDEs as CRDTM. In this study, linear and non-linear three problems are solved by these two methods. In these methods, the obtained solutions take the form of a convergent series with easily computable algorithms. For the applications, the obtained results by these methods are compared to each other and with the exact solutions. When applied to FPDEs, it is seem that CADM approach produces easy, fast and reliable solutions as CRDTM. 2010 Mathematics Subject Classification: 34A08; 34K28