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Solving a nonlinear fractional differential equation using Chebyshev wavelets

Institution:	1. School of Information and Control, Nanjing University of Information Science & Technology, Nanjing 210044, China;2. Assen (Nanjing) Environment Technology Co., Ltd., Nanjing 210042, China;1. Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran;2. Centro de Matemática Computacional e Estocástica, Instituto Superior Téecnico, Universidade de Lisboa, Av. Rovisco Pais, Lisboa 1049-001, Portugal;1. Algebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Songkhla, 90110, Thailand;2. Department of Mathematics and Statistics, Mississippi State University, USA;3. Fractional Calculus, Optimization and Algebra Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Abstract:	Chebyshev wavelet operational matrix of the fractional integration is derived and used to solve a nonlinear fractional differential equations. Some examples are included to demonstrate the validity and applicability of the technique.

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