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

Publish Year: 1393
Type: Journal paper
Language: English
View: 299

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Document National Code:

JR_CMDE-2-4_006

Index date: 6 March 2023

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

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

Integro-differential equations , fractional type of flatlet oblique multiwavelets , biorthogonal flatlet multiwavelet system

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

Mohammadreza Ahmadi Darani

Faculty of mathematical Sciences, Shahrekord University, P. O. Box ۱۱۵, Shahrekord, Iran.

Shirin Bagheri

Faculty of Basic Sciences, Islamic Azad University, Science and Research Branch, P. O. Box ۱۴۵۱۵/۷۷۵, Tehran, Iran.