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.
كليدواژه :
Fractional pantograph differential equations , Jacobi wavelet , Riemann , Liouville integral , Caputo derivative , Gauss , Jacobi quadrature
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
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.
