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Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü"

Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü"

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  • On the approximate solutions of local fractional differential equations with local fractional operators 
    Jafari, Hossein; Jassim, Hassan Kamil; Tchier, Fairouz; Baleanu, Dumitru (MDPI AG, 2016-04)
    In this paper, we consider the local fractional decomposition method, variational iteration method, and differential transform method for analytic treatment of linear and nonlinear local fractional differential equations, ...
  • On the asymptotic integration of a class of sublinear fractional differential equations 
    Baleanu, Dumitru; Mustafa, Octavian G. (Amer Inst Physics, 2009-12)
    We estimate the growth in time of the solutions to a class of nonlinear fractional differential equations D(0+)(alpha)(x-x(0))=f(t,x) which includes D(0+)(alpha)(x-x(0))=H(t)x(lambda) with lambda is an element of(0,1) for ...
  • On the Christensen-Wang bounds for the ghost number of a p-group algebra 
    Aksu Altunbulak, Fatma; Green, David (Walter De Gruyter GMBH, 2016-07)
    Christensen and Wang give conjectural upper and lower bounds for the ghost number of the group algebra of a p-group. We apply results of Koshitani and Motose on the nilpotency index of the Jacobson radical to prove the ...
  • On the commutative product of distributions 
    Fisher, Brian; Taş, Kenan (Korean Mathematical Society, 2006-03)
    The commutative products of the distributions x(r) ln(p) vertical bar x vertical bar and x(-r-1) ln(q) vertical bar x vertical bar and of sgn x x(r) ln(P) vertical bar x vertical bar and sgn x x(-r-1) ln(q) vertical bar x ...
  • On the composition of the distributions x(+)(lambda) and x(+)(mu) 
    Fisher, Brian; Taş, Kenan (Academic Press Inc Elsevier Science, 2006-01-01)
    Let F be a distribution and let f be a locally summable function. The distribution F(f) is defined as the neutrix limit of the sequence {F-n(f)}, where F-n(x) = F(x) * delta(n)(x) and {delta(n)(x)) is a certain sequence ...
  • On the definitions of nabla fractional operators 
    Abdeljawad, Thabet; Atıcı, Ferhan M. (Hindawi Publishing Corporation, 2012)
    We show that two recent definitions of discrete nabla fractional sum operators are related. Obtaining such a relation between two operators allows one to prove basic properties of the one operator by using the known ...
  • On the discrete sumudu transform 
    Jarad, Fahd; Bayram, Kamm; Abdeljawad, Thabet; Baleanu, Dumitru (Editura Acad Romane, 2012)
    In this paper, we define the Sumudu transform on an arbitrary time scale. Starting from this definition we define the discrete Sumudu transform. We prove the initial and final value problems and study the basic properties ...
  • On the exact solution of wave equations on cantor sets 
    Baleanu, Dumitru; Khan, Hasib; Jafari, Hossein; Khan, Rahmat Ali (MDPI AG, 2015-09)
    The transfer of heat due to the emission of electromagnetic waves is called thermal radiations. In local fractional calculus, there are numerous contributions of scientists, like Mandelbrot, who described fractal geometry ...
  • On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives 
    Abdeljawad, Thabet; Jarad, Fahd; Baleanu, Dumitru (Science Press, 2008-10)
    Local and global existence and uniqueness theorems for a functional delay fractional differential equation with bounded delay are investigated. The continuity with respect to the initial function is proved under Lipschitz ...
  • On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations 
    Baleanu, Dumitru (MDPI AG, 2016-11)
    In this manuscript, we prove the existence and uniqueness of solutions for local fractional differential equations (LFDEs) with local fractional derivative operators (LFDOs). By using the contracting mapping theorem (CMT) ...
  • On the existence interval for the initial value problem of a fractional differential equation 
    Baleanu, Dumitru; Octavian, G. Mustafa (Hacettepe Üniversitesi, Fac Sci, 2011-08)
    We compute via a comparison function technique, a new bound for the existence interval of the initial value problem for a fractional differential equation given by means of Caputo derivatives. We improve in this way the ...
  • On the existence of solution for fractional differential equations of order 3 < delta(1) <= 4 
    Baleanu, Dumitru; Agarwal, Ravi P.; Khan, Hasib; Khan, Rahmat Ali; Jafari, Hossein (Springer International Publishing, 2015-11-26)
    In this paper, we deal with a fractional differential equation of order delta(1) is an element of (3,4] with initial and boundary conditions, D-delta 1 psi(x) = -H(x,psi(x)), D-alpha 1 psi(1) = 0 = I3-delta 1 psi(0) = ...
  • On the existence of solutions for a fractional finite difference inclusion via three points boundary conditions 
    Baleanu, Dumitru; Rezapour, Shahram; Salehi, Saeid (Springer International Publishing, 2015-08-06)
    In this paper, we discussed the existence of solutions for the fractional finite difference inclusion Delta(nu)x(t) is an element of F(t, x(t), Delta x(t), Delta(2)x(t)) via the boundary value conditions xi x(nu - 3) + ...
  • On the fractional Hamilton and Lagrange mechanics 
    Golmankhaneh, Alireza K.; Yengejeh, Ali Moslemi; Baleanu, Dumitru (Springer/Plenum Publishers, 2012-09)
    The fractional generalization of Hamiltonian mechanics is constructed by using the Lagrangian involving fractional derivatives. In this paper the equation of projectile motion with air friction using fractional Hamiltonian ...
  • On the fractional-order diffusion-wave process 
    Herzallah, Mohamed A. E.; El-Sayed, Ahmed M. A.; Baleanu, Dumitru (Editura Academiei Romane, 2010)
    One of the main applications of the fractional calculus, integration and differentiation of arbitrary orders is the modelling of the intermediate physical processes. Here we formulate a more general model which represents ...
  • On the global existence of solutions to a class of fractional differential equations 
    Baleanu, Dumitru; Mustafa, Octavian G. (Pergamon-Elsevier Science Ltd, 2010-03)
    We present two global existence results for an initial value problem associated to a large class of fractional differential equations. Our approach differs substantially from the techniques employed in the recent literature. ...
  • On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives 
    Alipour, Mohsen; Baleanu, Dumitru (Ovidius Univ., 2016)
    In this work, we focus on the fractional versions of the well-known Kolmogorov forward equations. We consider the problem in two cases. In case 1, we apply the left Caputo fractional derivatives for alpha is an element of ...
  • On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation 
    Nigmatullin, Raoul R.; Khamzin, Airat A.; Baleanu, Dumitru (Wiley-Blackwell, 2016-07)
    In the given paper, a special method of representation of the Mittag-Leffler functions and their multivariate generalizations in the form of the Laplace integrals is suggested. The method is based on the usage of the ...
  • On the mittag-leffler stability of q-fractional nonlinear dynamical systems 
    Jarad, Fahd; Abdeljawad, Thabet; Gündoğdu, Emrah; Baleanu, Dumitru (Editura Acad Romane, 2011-12)
    In this article, analogous to the definition of the exponential stability of ordinary dynamical systems and the Mittag-Leffler stability of the fractional dynamical systems, we consider the Mittag-Leffler stability for ...
  • On the Non-Commutative Neutrix Product of the Distributions xλ + and xμ + 
    Fisher, Brian; Taş, Kenan (Springer Science & Business Media B.V., 2006-10)
    Let f and g be distributions and let gn = (g ∗ δn)(x), where δn(x) is a certain sequence converging to the Dirac delta function. The non-commutative neutrix product f ◦g of f and g is defined to be the limit of the sequence ...