SPECIAL ISSUE PAPER
Theoretical and spectral numerical study for fractional Van der Pol equation
Samer S. Ezz-Eldien,
Corresponding Author
Samer S. Ezz-Eldien
Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, China
Department of Mathematics, Faculty of Science, New Valley University, El-Kharga, 72511, Egypt
Correspondence
Samer S. Ezz-Eldien, Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, China.
Email: [email protected]
Communicated by: D. Zeidan
Search for more papers by this authorSamer S. Ezz-Eldien,
Corresponding Author
Samer S. Ezz-Eldien
Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, China
Department of Mathematics, Faculty of Science, New Valley University, El-Kharga, 72511, Egypt
Correspondence
Samer S. Ezz-Eldien, Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, China.
Email: [email protected]
Communicated by: D. Zeidan
Search for more papers by this authorAbstract
This manuscript concerns with both theoretical and numerical study for a generalized form of fractional Van der Pol equations (FVDPEs). The Schauder fixed point and Banach contraction mapping principles are used for investigating the existence and uniqueness of the considered problem. The second novelty of this manuscript is using the tau method for solving a nonlinear problem (specially FVDPE). The convergence analysis of the suggested approach is also studied. Comparisons with other numerical approaches are introduced for testing the applicability of the current approach.
CONFLICT OF INTEREST
The authors declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
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