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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 2465158, 7 pages
Research Article

Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral Equations

Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj, Iran

Correspondence should be addressed to R. Ezzati

Received 12 August 2016; Revised 14 November 2016; Accepted 1 December 2016; Published 17 January 2017

Academic Editor: Michael Vynnycky

Copyright © 2017 E. Fathizadeh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We use a computational method based on rational Haar wavelet for solving nonlinear fractional integro-differential equations. To this end, we apply the operational matrix of fractional integration for rational Haar wavelet. Also, to show the efficiency of the proposed method, we solve particularly population growth model and Abel integral equations and compare the numerical results with the exact solutions.