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Title: A streamlined numerical method to treat fractional nonlinear terminal value problems with multiple delays appearing in biomathematics
Authors: Kürkçü, Ö.K.
Keywords: Delay differential equation
Error analysis
Fractional derivative
Matrix-collocation method
Terminal condition
Banach spaces
Differential equations
Nonlinear analysis
Numerical methods
Collocation method
Delay differential equations
Fractional derivatives
Lagrange interpolations
Matrix-collocation method
Multiple delays
Terminal condition
Terminal-value problem
Error analysis
Issue Date: 2023
Publisher: Springer Nature
Abstract: In this study, a computational matrix-collocation method based on the Lagrange interpolation polynomial is specifically streamlined to treat the fractional nonlinear terminal value problems with multiple delays, such as the Hutchinson, the Wazewska-Czyzewska and the Lasota models in biomathematics. To do this, the robust nonlinear terms of which are smoothed to be deployed in the method. The uniqueness analysis of the solution is discussed in terms of the Banach contraction principle. An error analysis technique is non-linearly theorized and applied to improve the solutions. A programme for the method is especially developed. Thus, the outcomes of five fractional model problems constrained by terminal conditions are numerically and graphically evaluated in tables and figures. Based on the investigation of the results, one can claim that the method presents a sustainable and effective mathematical procedure for the aforementioned problems. © 2023, The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional.
ISSN: 2238-3603
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collections

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