• شماره ركورد كنفرانس
    5263
  • عنوان مقاله

    Jacobi wavelet collocation method for solving fractional pantograph differential equations with boundary conditions

  • پديدآورندگان

    Nemati Somayeh s.nemati@umz.ac.ir Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. , Bakouei Faezeh faezehbakouei@gmail.com Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.

  • تعداد صفحه
    4
  • كليدواژه
    Fractional pantograph differential equations , ‎Jacobi wavelet , ‎Riemann , Liouville integral , ‎Caputo derivative , ‎Gauss , Jacobi quadrature
  • سال انتشار
    1402
  • عنوان كنفرانس
    54 امين كنفرانس رياضي ايران
  • زبان مدرك
    انگليسي
  • چكيده فارسي
    A numerical method is proposed for solving fractional pantograph differential equations with boundary conditions‎. ‎First‎, ‎the problem is transformed into an equivalent integral equation‎. ‎Then‎, ‎the unknown function is approximated using the generalized Jacobi wavelet basis functions‎. ‎Gauss-Jacobi quadrature formula together with a suitable set of collocation points help us to reduce the main problem into a system of nonlinear algebraic equations‎. ‎Finally‎, ‎an illustrative example and its results are given‎.
  • كشور
    ايران