Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations

Ahmadi Darani, Mohammadreza; Bagheri, Shirin

Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations

Document Type : Research Paper

Authors

¹ Faculty of mathematical Sciences, Shahrekord University, P. O. Box 115, Shahrekord, Iran.

² Faculty of Basic Sciences, Islamic Azad University, Science and Research Branch, P. O. Box 14515/775, Tehran, Iran.

Abstract

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.

Keywords