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Volume 10, Issue 2
Numerical Solution of Fractional Differential Equations by using Fractional Spline Model

Faraidun K. Hamasalh and Pshtiwan O. Muhammad

J. Info. Comput. Sci. , 10 (2015), pp. 098-105.

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  • Abstract
In this paper, we consider a new suitable lacunary fractional interpolation with the idea of the spline function of polynomial form, and the method applied to solve linear fractional differential equations. The results obtained are in good agreement with the exact analytical solutions and the numerical results presented by several examples, results also show that the technique introduced here is robust and easy to apply.
  • Keywords

Fractional integral and derivative Caputo Derivative Taylor’s expansion Error bound Spline functions

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COPYRIGHT: © Global Science Press

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@Article{JICS-10-098, author = {Faraidun K. Hamasalh and Pshtiwan O. Muhammad}, title = {Numerical Solution of Fractional Differential Equations by using Fractional Spline Model}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {10}, number = {2}, pages = {098--105}, abstract = {In this paper, we consider a new suitable lacunary fractional interpolation with the idea of the spline function of polynomial form, and the method applied to solve linear fractional differential equations. The results obtained are in good agreement with the exact analytical solutions and the numerical results presented by several examples, results also show that the technique introduced here is robust and easy to apply. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22552.html} }
TY - JOUR T1 - Numerical Solution of Fractional Differential Equations by using Fractional Spline Model AU - Faraidun K. Hamasalh and Pshtiwan O. Muhammad JO - Journal of Information and Computing Science VL - 2 SP - 098 EP - 105 PY - 2024 DA - 2024/01 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22552.html KW - Fractional integral and derivative KW - Caputo Derivative KW - Taylor’s expansion KW - Error bound KW - Spline functions AB - In this paper, we consider a new suitable lacunary fractional interpolation with the idea of the spline function of polynomial form, and the method applied to solve linear fractional differential equations. The results obtained are in good agreement with the exact analytical solutions and the numerical results presented by several examples, results also show that the technique introduced here is robust and easy to apply.
Faraidun K. Hamasalh and Pshtiwan O. Muhammad. (2024). Numerical Solution of Fractional Differential Equations by using Fractional Spline Model. Journal of Information and Computing Science. 10 (2). 098-105. doi:
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