%0 Journal Article %1 noauthororeditor %A Abd, Mohammed AbdulShareef Hussein | Shurooq Kamel %D 2023 %J CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES %K Atangana-Baleanu Homotopy Iteration Method Method, Natural OperatorVariational Permutation Transform, %N 8 %P 30-41 %T APPROXIMATE SOLUTIONS OF FPDES WITH FRACTIONAL DERIVATIVE OF ANTAGANA-BALEANU IN CAPUTO SENSE %U https://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/490/551 %V 4 %X The natural variational iteration technique (NVIM) and the natural homotopy permutation method (NHPM) are described in this article to provide an approximation solution to fractional differential equations using the fractional derivative of Atangana Baleaneau in Caputo sense. The algorithms of the two ways were compared, and the results of the two methods were shown to be successful for obtaining the approximate solution for this sort of fractional differential equation.

@article{noauthororeditor, abstract = {The natural variational iteration technique (NVIM) and the natural homotopy permutation method (NHPM) are described in this article to provide an approximation solution to fractional differential equations using the fractional derivative of Atangana Baleaneau in Caputo sense. The algorithms of the two ways were compared, and the results of the two methods were shown to be successful for obtaining the approximate solution for this sort of fractional differential equation.}, added-at = {2024-02-26T11:07:32.000+0100}, author = {Abd, Mohammed AbdulShareef Hussein | Shurooq Kamel}, biburl = {https://www.bibsonomy.org/bibtex/2fbb1c6ab2180f8323e9092df398c2d02/centralasian_20}, interhash = {8198f39edbde9482e37f6adf31217731}, intrahash = {fbb1c6ab2180f8323e9092df398c2d02}, issn = {2660-5309}, journal = {CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES}, keywords = {Atangana-Baleanu Homotopy Iteration Method Method, Natural OperatorVariational Permutation Transform,}, language = {english}, month = aug, number = 8, pages = {30-41}, timestamp = {2024-02-26T11:07:32.000+0100}, title = {APPROXIMATE SOLUTIONS OF FPDES WITH FRACTIONAL DERIVATIVE OF ANTAGANA-BALEANU IN CAPUTO SENSE}, url = {https://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/490/551}, volume = 4, year = 2023 }