G-SPLINE INTERPOLATION FOR APPROXIMATING THE SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS USING LINEAR MULTI-STEP METHODS

Authors

  • Osama H Mohammed Department of Mathematics, College of Science, Al-Nahrain University, Baghdad, Iraq.
  • Fadhel S Fadhel Department of Mathematics, College of Science, Al-Nahrain University, Baghdad, Iraq.
  • Akram M Al-Abood Department of Mathematics, College of Science, Al-Nahrain University, Baghdad, Iraq.

Keywords:

G-spline interpolation, Fractional calculus, Linear multi-step method

Abstract

In this paper, we consider fractional differential equations of the form: y(q)(x)  F(x, y), x  [a, b] ............. (1) y(a)   where n < q < n + 1 and n is a positive integer number. The aim of this paper is to approximate the solution of fractional differential equations using linear multi-step methods with the cooperation of G-spline interpolation.

 

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Published

2018-08-26

Issue

Vol. 10 No. 2 (2007): December

Section

Articles

How to Cite

(1)
G-SPLINE INTERPOLATION FOR APPROXIMATING THE SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS USING LINEAR MULTI-STEP METHODS. ANJS 2018, 10 (2), 118-123.