Title of article :
REPRODUCING KERNEL METHOD FOR SOLVING PARTIAL TWO-DIMENSIONAL NONLINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATION
Author/Authors :
Alizadeh ، Reza Department of Mathematics - Islamic Azad University, Tabriz Branch , Jahangiri Rad ، M. Department of Mathematics - Islamic Azad University, Tabriz Branch , Ebadian ، Ali Department of Mathematics - Faculty of Science - Urmia University , Dastmalchi ، F. Department of Mathematics - Islamic Azad University, Tabriz Branch
Abstract :
This article discusses the replicating kernel interpolation collocation method related to Jacobi polynomials to solve a class of fractional system of equations. The reproducing kernel function that is executed as an (RKM) was first created in the form of Jacobi polynomials. To prevent Schmidt orthogonalization, researchers compare the numerical solutions achieved by varying the parameter value. Through various numerical examples, it is demonstrated that this technique is practical and precise.
Keywords :
Reproducing , Shifted Jacobi Polynomials , Two , dimensional fractional integral equation , Fractional derivatives
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
