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Browsing Matematik by Title

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  • CONFORMABLE FRACTIONAL INTEGRALS AND RELATED NEW INTEGRAL INEQUALITIES 
    Akdemir, Ahmet Ocak; Ekinci, Alper; Set, Erhan (YOKOHAMA PUBL, 101, 6-27 SATSUKIGAOKA AOBA-KU, YOKOHAMA, 227-0053, JAPAN, 2017)
    In the present note, we have given the definition of conformable fractional integrals and some further properties. In the second part, we have established some Gruss type integral inequalities by using the bounded functions ...
  • Convex Functions and Some Inequalities in Terms of the Non-Newtonian Calculus 
    Iscan, Imdat; Salas, Seren; Unluyol, Erdal (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2017)
    Differentiation and integration are basic operations of calculus and analysis. Indeed, they are many versions of the subtraction and addition operations on numbers, respectively. From 1967 till 1970 Michael Grossman and ...
  • CURVES AND RULED SURFACES ACCORDING TO ALTERNATIVE FRAME IN DUAL SPACE 
    Caliskan, Abdussamet; Senyurt, Suleyman (ANKARA UNIV, FAC SCI, DOGOL CADDESI, ANKARA, 06100, TURKEY, 2020)
    In this paper, the vectorial moments of the alternative vectors are expressed in terms of altrenative frame. According to the new versions of these vectorial moments, the parametric equations of the closed ruled surfaces ...
  • Cα-ruled surfaces respect to direction curve in fractional differential geometry 
    Has, Aykut; Yilmaz, Beyhan; Ayvaci, Kebire Hilal (SPRINGER BASEL AG-BASEL, 2024)
    Conformable fractional calculus is a relatively new branch of mathematics that seeks to extend traditional calculus to include non-integer order derivatives and integrals. This new form of calculus allows for a more precise ...
  • The Darboux trihedrons of timelike surfaces in the Lorentzian 3-space 
    Li, Yanlin; Mazlum, Sumeyye Gur; Senyurt, Suleyman (WORLD SCIENTIFIC PUBL CO PTE LTD-SINGAPORE, 2023)
    The parameter curves (c(1)) and (c(2)) intersecting under the angle theta on a timelike surface and any curve (c) passing through the same point with these curves have six different cases according to their causal characters. ...
  • Decision-aided evaluation of paths for routing on multi-attribute computer network consisting of encoded paths under uncertainty 
    Kayaturan, Gokce Caylak; Ozcelik, Gokhan; Gokce, Aytuel (PERGAMON-ELSEVIER SCIENCE LTD-OXFORD, 2023)
    The network users need to evaluate the alternative transmission pathways to avoid some routing problems such as possible network attacks, data traffic, etc. in computer networks. In order to provide a mathematical solution ...
  • Delay induced nonlinear dynamics of oxygen-plankton interactions 
    Gokce, Aytul; Sekerci, Yadigar; Yazar, Samire (PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2020)
    The present investigation deals with a generic oxygen-plankton model with constant time delays using the combinations of analytical and numerical methods. First, a two-component delayed model: the interaction between the ...
  • Delay induced nonlinear dynamics of oxygen-plankton interactions 
    Gokce, Aytul; Sekerci, Yadigar; Yazar, Samire (PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2020)
    The present investigation deals with a generic oxygen-plankton model with constant time delays using the combinations of analytical and numerical methods. First, a two-component delayed model: the interaction between the ...
  • The developable surfaces with pointwise 1-type Gauss map of Frenet type framed base curves in Euclidean 3-space 
    Li, Yanlin; Eren, Kemal; Ayvaci, Kebire Hilal; Ersoy, Soley (AMER INST MATHEMATICAL SCIENCES-AIMS-SPRINGFIELD, 2023)
    In this study, the ruled developable surfaces with pointwise 1-type Gauss map of Frenettype framed base (Ftfb) curve are introduced in Euclidean 3-space. The tangent developable surfaces, focal developable surfaces, and ...
  • Development of an attitude-towards-using-mathematics scale for high-school students and an analysis of student attitudes 
    Aktas, Meral Cansiz; Mumcu, Hayal Yavuz (TAYLOR & FRANCIS LTD, 2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND, 2019)
    This research has been carried out in two stages and has two main objectives. The first aim of the study is to develop a Likert-type scale which is used to determine the attitudes towards the use of mathematics in real ...
  • Disjunctive Total Domination In Harary Graphs 
    Ciftci, Canan; Aytac, Vecdi (OXFORD UNIV PRESS-OXFORD, 2023)
    Let G be a graph. A set S of vertices in G is a disjunctive total dominating set of G if every vertex is adjacent to a vertex of S or has at least two vertices in S at distance two from it. The disjunctive total domination ...
  • DISJUNCTIVE TOTAL DOMINATION IN SOME GRAPHS DERIVED FROM THE SUBDIVISION GRAPH 
    Ciftci, Canan; Aytac, Aysun (TURKIC WORLD MATHEMATICAL SOC BAKU, 2021)
    For a set S subset of V (G), if every vertex has a neighbor in S or has at least two vertices in S at distance two from it, then the set S is a disjunctive total dominating set of G. The minimum cardinality of such a set ...
  • Disjunctive total domination stability in graphs 
    Ciftci, Canan (WILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA, 2020)
    A setS subset of V(G) is a disjunctive total dominating set ofGif every vertex has a neighbor inSor has at least two vertices inSat distance two from it. The minimum cardinality of such a set is equal to the disjunctive ...
  • Disjunctive Total Domination Subdivision Number of Graphs 
    Aytac, Vecdi; Ciftci, Canan (IOS PRESS, NIEUWE HEMWEG 6B, 1013 BG AMSTERDAM, NETHERLANDS, 2020)
    A set S subset of V (G) is a disjunctive total dominating set of G if every vertex has a neighbor in S or has at least two vertices in S at distance 2 from it. The disjunctive total domination number is the minimum cardinality ...
  • The Dual Expression of Parallel Equidistant Ruled Surfaces in Euclidean 3-Space 
    Gur Mazlum, Sumeyye; Senyurt, Suleyman; Grilli, Luca (MDPI-BASEL, 2022)
    In this study, we examine the dual expression of Valeontis' concept of parallel p-equidistant ruled surfaces well known in Euclidean 3-space, according to the Study mapping. Furthermore, we show that the dual part of the ...
  • Dual Pole Indicatrix Curve and Surface 
    Senyurt, Suleyman; Caliskan, Abdussamet (PRAIRIE VIEW A & M UNIV, DEPT MATHEMATICS-PRAIRIE VIEW, 2020)
    In this paper, the vectorial moment vector of the unit Darboux vector, which consists of the motion of the Frenet vectors on any curve, is reexpressed in the form of Frenet vectors. According to the new version of this ...
  • THE DUAL SPATIAL QUATERNIONIC EXPRESSION OF RULED SURFACES 
    Caliskan, Abdussamet; Senyurt, Suleyman (VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA, 2019)
    In this paper, the ruled surface which corresponds to a curve on dual unit sphere is rederived with the help of dual spatial quaternions. We extend the term of dual expression of ruled surface using dual spatial quaternionic ...
  • The Dual Spherical Curves and Surfaces In Terms of Vectorial Moments 
    Senyurt, Suleyman; Caliskan, Abdussamet (PRAIRIE VIEW A & M UNIV, DEPT MATHEMATICS-PRAIRIE VIEW, 2022)
    In the article, the parametric expressions of the dual ruled surfaces are expressed in terms of the vectorial moments of the Frenet vectors. The integral invariants of these surfaces are calculated. It is seen that the ...
  • A dynamic interplay between Allee effect and time delay in a mathematical model with weakening memory 
    Gokce, Aytul (ELSEVIER SCIENCE INC-NEW YORK, 2022)
    This paper deals with a model of population dynamics comprising Allee effect and weakening memory with constant time delays. Since predator density depends on the prey density in current time and in past, a two-component ...
  • Dynamical behaviour of a predator-prey system encapsulating the fear affecting death rate of prey and intra-specific competition: Revisited in a fluctuating environment 
    Gokce, Aytul (ELSEVIER-AMSTERDAM, 2023)
    This paper revisits a population model incorporating a fear factor and intra-specific competition. An extension of the model from a deterministic framework to a stochastic one is also taken into account as an additional ...

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