Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations |
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| Affiliation: | 1. School of Applied Mathematics, Xiamen University of Technology, 361024 Xiamen, China;2. School of Science, Ningbo University of Technology, 315211 Ningbo, China;1. School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, Pakistan;2. Department of Mathematics, HITEC University, Taxila Cantt, Pakistan;1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran;2. Centro de Matemática Computacional e Estocástica, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, Lisboa 1049-001, Portugal;1. Faculty of Mathematics, Yazd University, Yazd, Iran;2. The Laboratory of Quantum Information Processing, Yazd University, Yazd, Iran;3. Engineering School, Tuscia University, Largo dell’s University, Viterbo 01100, Italy |
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| Abstract: | This paper presents a computational method for solving a class of system of nonlinear singular fractional Volterra integro-differential equations. First, existences of a unique solution for under studying problem is proved. Then, shifted Chebyshev polynomials and their properties are employed to derive a general procedure for forming the operational matrix of fractional derivative for Chebyshev wavelets. The application of this operational matrix for solving mentioned problem is explained. In the next step, the error analysis of the proposed method is investigated. Finally, some examples are included for demonstrating the efficiency of the proposed method. |
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| Keywords: | Singular fractional Volterra integro-differential equations Chebyshev wavelets Operational matrix Error analysis |
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