alexa Numerical Solution of Fractional Variational Problems
ISSN ONLINE(2319-8753)PRINT(2347-6710)

International Journal of Innovative Research in Science, Engineering and Technology
Open Access

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Research Article

Numerical Solution of Fractional Variational Problems Using Direct Haar Wavelet Method

Osama H. M.1, Fadhel S. F.1 , Zaid A. M.2
  1. Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad, Iraq
  2. Economic and Administration College, the Iraqi University, Baghdad, Iraq
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Abstract

This paper presents a clear procedure for the fractional variational solution via Haar wavelet technique. The fractional derivative is defined in the Riemann-Liouville sense. The fractional variational problem is solved by means of the direct method using the Haar wavelet and the problem will be reduced to the solution of an algebraic equations. The numerical solution for the class of problem considered can be obtained directly from the functional and there is no need to solve the fractional Euler-Lagrange equation. The examples are included in order to demonstrate the validity and applicability of the suggested approach.

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