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Browsing Matematik Bölümü by Subject "Time Scale"

Browsing Matematik Bölümü by Subject "Time Scale"

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  • A necessary and sufficient condition for oscillation of second order sublinear delay dynamic equations 
    Mert, Raziye; Ağacık, Zafer (Amer Inst Mathematical Sciences-Aims, 2011-09)
    Time scale calculus approach allows one to treat the continuous, discrete, as well as more general systems simultaneously. In this article we use this tool to establish a necessary and sufficient condition for the oscillation ...
  • A new algorithm for solving dynamic equations on a time scale 
    Jafari, H.; Haghbin, A.; Johnston, S. J.; Baleanu, Dumitru (2017)
    In this paper, we propose a numerical algorithm to solve a class of dynamic time scale equation which is called the q-difference equation. First, we apply the method for solving initial value problems (IVPs) which contain ...
  • A new method for dissipative dynamic operator with transmission conditions 
    Uğurlu, Ekin; Taş, Kenan (Springer, 2018-04)
    In this paper, we investigate the spectral properties of a boundary value transmission problem generated by a dynamic equation on the union of two time scales. For such an analysis we assign a suitable dynamic operator ...
  • A new transform method in nabla discrete fractional calculus 
    Jarad, Fahd; Kaymakçalan, Billur; Taş, Kenan (Springer International Publishing, 2012)
    Starting from the definition of the Sumudu transform on a general nabla time scale, we define the generalized nabla discrete Sumudu transform. We obtain the nabla discrete Sumudu transform of Taylor monomials, fractional ...
  • Caputo q-fractional initial value problems and a q-analogue Mittag-Leffler function 
    Abdeljawad, Thabet; Baleanu, Dumitru (Elsevier Science Bv, 2011-12)
    Caputo q-fractional derivatives are introduced and studied. A Caputo -type q-fractional initial value problem is solved and its solution is expressed by means of a new introduced q-Mittag-Leffler function. Some open problems ...
  • Chaos synchronization of fractional chaotic maps based on the stability condition 
    Wu, Guo-Cheng; Baleanu, Dumitru; Xie, He-Ping; Chen, Fu-Lai (Elsevier Science Bv, 2016-10-15)
    In the fractional calculus, one of the main challenges is to find suitable models which are properly described by discrete derivatives with memory. Fractional Logistic map and fractional Lorenz maps of Riemann-Liouville ...
  • Discrete fractional logistic map and its chaos 
    Wu, Guo-Cheng; Baleanu, Dumitru (2014-01)
    A discrete fractional logistic map is proposed in the left Caputo discrete delta's sense. The new model holds discrete memory. The bifurcation diagrams are given and the chaotic behaviors are numerically illustrated.
  • Dynamic Hilbert-Type Inequalities with Fenchel-Legendre Transform 
    El-Deeb, Ahmed A.; Makharesh, Samer D.; Baleanu, Dumitru (2020-04)
    Our work is based on the multiple inequalities illustrated in 2020 by Hamiaz and Abuelela. With the help of a Fenchel-Legendre transform, which is used in various problems involving symmetry, we generalize a number of those ...
  • Finite-Time Stability of Discrete Fractional Delay Systems: Gronwall Inequality and Stability Criterion 
    Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da (Elsevier, 2018-04)
    This study investigates finite-time stability of Caputo delta fractional difference equations. A generalized Gronwall inequality is given on a finite time domain. A finite-time stability criterion is proposed for fractional ...
  • Fractional differential equations with maxima on time scale via Picard operators 
    Karapınar, Erdal; Benkhettou, Nadia; Lazreg, Jamal Eddine; Benchohra, Mouffak (2023)
    In this paper, we prove a result of existence and uniqueness of solutions for the following class of problem of initial value for differential equations with maxima and Caputo's fractional order on the time scales:c increment ...
  • Fractional discrete-time diffusion equation with uncertainty: Applications of fuzzy discrete fractional calculus 
    Huang, Lan-Lan; Baleanu, Dumitru; Mo, Zhi-We; Wu, Guo-Cheng (Elsevier Science BV, 2018-10-15)
    This study provides some basics of fuzzy discrete fractional calculus as well as applications to fuzzy fractional discrete-time equations. With theories of r-cut set, fuzzy Caputo and Riemann-Liouville fractional differences ...
  • Generalization Of Mitrinović–Pečarić Inequalities On Time Scales 
    El-Deeb, Ahmed A.; Akin, Elvan; Kaymakçalan, Billur (2021-12)
    We prove some new inequalities of Mitrinović–Pečarić inequalities for convex functions on an arbitrary time scale using delta integrals. These inequalities extend and improve some known dynamic inequalities in the literature. ...
  • Neutral functional sequential differential equations with Caputo fractional derivative on time scales 
    Lazreg, Jamal Eddine; Benkhettou, Nadia; Benchohra, Mouffak; Karapinar, Erdal (2022-12)
    In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon ...
  • New discrete inequalities of Hermite–Hadamard type for convex functions 
    Mohammed, Pshtiwan Othman; Abdeljawad, Thabet; Alqudah, Manar A.; Jarad, Fahd (2021-12)
    We introduce new time scales on Z. Based on this, we investigate the discrete inequality of Hermite–Hadamard type for discrete convex functions. Finally, we improve our result to investigate the discrete fractional inequality ...
  • New Weighted Opial-Type Inequalities on Time Scales for Convex Functions 
    El-Deeb, Ahmed A.; Baleanu, Dumitru (2020-05)
    Our work is based on the multiple inequalities illustrated in 1967 by E. K. Godunova and V. I. Levin, in 1990 by Hwang and Yang and in 1993 by B. G. Pachpatte. With the help of the dynamic Jensen and Holder inequality, we ...
  • On Hardy-Hilbert-type inequalities with α-fractional derivatives 
    Ahmed, Marwa M.; Hassanein, Wael S.; Elsayed, Marwa Sh.; Baleanu, Dumitru; El-Deeb, Ahmed A. (2023)
    In the current manuscript, new alpha delta dynamic Hardy-Hilbert inequalities on time scales are discussed. These inequalities combine and expand a number of continuous inequalities and their corresponding discrete analogues ...
  • Oscillation of even order nonlinear delay dynamic equations on time scales 
    Erbe, Lynn; Mert, Raziye; Peterson, Allan; Ağacık, Zafer (Springer Heidelberg, 2013-03)
    One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper ...
  • Oscillation of higher-order neutral dynamic equations on time scales 
    Mert, Raziye (Springer, 2012)
    In this article, using comparison with second-order dynamic equations, we establish sufficient conditions for oscillatory solutions of an nth-order neutral dynamic equation with distributed deviating arguments. The arguments ...
  • Oscillatory behavior of higher-order neutral type dynamic equations 
    Grace, Siad R.; Mert, Raziye; Ağacık, Zafer (Univ Szeged, Bolyai Institue, 2013)
    The oscillation behavior of solutions for higher-order delay dynamic equations of neutral type is investigated by making use of comparison with second-order dynamice quations. The method can be utilized to study other types ...
  • Some new Hardy-type inequalities on time scales 
    El-Deeb, Ahmed A.; Elsennary, Hamza A.; Baleanu, Dumitru (2020-08-27)
    In this paper, we will prove some new dynamic inequalities of Hardy-type on time scales. Some of the integral and difference inequalities that will be derived from our results in the continuous and discrete cases are ...