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Browsing Matematik by Title

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  • CHEBYSHEV TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS 
    Akdemir, Ahmet Ocak; Mumcu, Ilker; Set, Erhan (UNIV MISKOLC INST MATH, MISKOLC-EGYETEMVAROS, MISKOLC, H-3515, HUNGARY, 2019)
    In this article, firstly some necessary definitions and results involving fractional integrals are given. Secondly, a new identity involving conformable fractional integrals is given. Then, by using this identity, we ...
  • Chebyshev type inequalities involving extended generalized fractional integral operators 
    Demirbas, Sevdenur; Ozdemir, M. Emin; Set, Erhan (AMER INST MATHEMATICAL SCIENCES-AIMS, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA, 2020)
    In this paper, mainly by using the extended generalized fractional integral operator that involve a further extension of Mittag-Leffler function in the kernel, we obtain several fractional Chebyshev type integral inequalities. ...
  • CHEBYSHEV TYPE INEQUALITIES INVOLVING GENERALIZED KATUGAMPOLA FRACTIONAL INTEGRAL OPERATORS 
    Choi, Junesang; Mumcu, Ilker; Set, Erhan (TAMKANG UNIV, GRAD SCHOOL LANG LIT, TAMSUI, TAIPEI, TAIWAN, 2019)
    A number of Chebyshev type inequalities involving various fractional integral operators have, recently, been presented. Here, motivated essentially by the earlier works and their applications in diverse research subjects, ...
  • Chebyshev-Gruss Type Inequalities for Hadamard k-Fractional Integrals 
    Iqbal, Sana; Mubeen, Shahid; Habib, Siddra; Tomar, Muharrem (RGN PUBL-DELHI, 2018)
    Integral inequalities are taken up to be important as they are useful in the study of different classes of differential and integral equations. During the past several years, many researchers have obtained various fractional ...
  • Complexity and bounds for disjunctive total bondage 
    Ciftci, Canan (ELSEVIER AMSTERDAM, 2021)
    A subset S subset of V(G) is a disjunctive total dominating set if each vertex has a neighbor in S or has at least two vertices in Sat distance two from it. The disjunctive total domination number gamma(d)(t)(G) is the ...
  • A comprehensive investigation on macro-micro crack interactions in functionally graded materials using ordinary-state based peridynamics 
    Ozdemir, M.; Imachi, M.; Tanaka, S.; Oterkus, S.; Oterkus, E. (ELSEVIER SCI LTD-OXFORD, 2022)
    In the present work, interactions between a macro-crack and various micro-crack configurations are studied extensively. Influence of different micro-crack configurations on propagation of a main crack is numerically examined ...
  • Conformable fractional integral inequalities of Chebyshev type 
    Demirbas, Sevdenur; Mumcu, Ilker; Set, Erhan (SPRINGER-VERLAG ITALIA SRL, VIA DECEMBRIO, 28, MILAN, 20137, ITALY, 2019)
    A number of Chebyshev type inequalities involving various fractional integral operators have, recently, been presented. Here, motivated essentially by the earlier works and their applications in diverse research subjects, ...
  • 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 ...

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