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Browsing by Subject "Volterra Integral Equation"

Browsing by Subject "Volterra Integral Equation"

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  • Complex b-spline collocation method for solving weaklysingular volterra integral equations of the second kind 
    Jafari, H.; Ramezani, M.; Johnston, S. J.; Baleanu, Dumitru (Univ Miskolc Inst Math, 2015)
    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 ...
  • On Cauchy problems with Caputo Hadamard fractional derivatives 
    Adjabi, Yassine; Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet (Eudoxus Press, 2016-10)
    The current work is motivated by the so-called Caputo-type modification of the Hadamard or Caputo Hadamard fractional derivative discussed in [4]. The main aim of this paper is to study Cauchy problems for a differential ...
  • On fractional calculus with general analytic kernels 
    Baleanu, Dumitru; Fernandez, Arran; Özarslan, Mehmet Ali (Elsevier Science INC, 2019-08-01)
    Many possible definitions have been proposed for fractional derivatives and integrals, starting from the classical Riemann-Liouville formula and its generalisations and modifying it by replacing the power function kernel ...
  • On Hilfer generalized proportional fractional derivative 
    Ahmed, Idris; Kumam, Poom; Jarad, Fahd; Borisut, Piyachat; Jirakitpuwapat, Wachirapong (2020-12-01)
    Motivated by the Hilfer and the Hilfer–Katugampola fractional derivative, we introduce in this paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann–Liouville and Caputo generalized ...
  • Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative 
    Ahmed, Idris; Kumam, Poom; Jarad, Fahd; Borisut, Piyachat; Sitthithakerngkiet, Kanokwan; Ibrahim, Alhassan (2020-12-01)
    In this research, we present the stability analysis of a fractional differential equation of a generalized Liouville–Caputo-type (Katugampola) via the Hilfer fractional derivative with a nonlocal integral boundary condition. ...
  • Variational iteration method as a kernel constructive technique 
    Wu, Guo-Cheng; Baleanu, Dumitru; Deng, Zhen-Guo (Elsevier Science, 2015-08-01)
    The variational iteration method newly plays a crucial role in establishing new integral equations. The Lagrange multipliers of the method serve kernel functions of the Volterra integral equations. A concept of an optimal ...