University of Tabriz Computational Methods for Differential Equations 2345-3982 2 4 2014 10 01 Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations 268 282 3834 EN Mohammadreza Ahmadi Darani Faculty of mathematical Sciences, Shahrekord University, P. O. Box 115, Shahrekord, Iran. Shirin Bagheri Faculty of Basic Sciences, Islamic Azad University, Science and Research Branch, P. O. Box 14515/775, Tehran, Iran. Journal Article 2015 06 12 The construction of fractional type of flatlet biorthogonal multiwavelet system is investigated in this paper. We apply this system as basis functions to solve the fractional differential and integro-differential equations. Biorthogonality and high vanishing moments of this system are two major properties which lead to the good approximation for the solutions of the given problems. Some test problems are discussed at the end of paper to show the efficiency of the proposed method. https://cmde.tabrizu.ac.ir/article_3834_bb3f883a1e0a93f9f79e70f8f6790c93.pdf