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## Representation for the reproducing kernel Hilbert space method for a nonlinear system

#### Esra Karatas Akgül [1] , Ali Akgül [2] , Yasir Khan [3] , Dumitru Baleanu [4]

We apply the reproducing kernel Hilbert space method to a nonlinear system in this work. We utilize this  technique to overcome the nonlinearity of the problem. We obtain accurate results. We demonstrate our results by tables and figures. We prove the efficiency of the method.
reproducing kernel functions, a nonlinear system, bounded linear operator
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Primary Language en Mathematics Mathematics Orcid: 0000-0003-3205-2393Author: Esra Karatas Akgül Orcid: 0000-0001-9832-1424Author: Ali Akgül (Primary Author) Orcid: 0000-0002-6386-6181Author: Yasir Khan Orcid: 0000-0002-0286-7244Author: Dumitru Baleanu Publication Date : October 8, 2019
 Bibtex @research article { hujms629831, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2019}, volume = {48}, pages = {1345 - 1355}, doi = {}, title = {Representation for the reproducing kernel Hilbert space method for a nonlinear system}, key = {cite}, author = {Karatas Akgül, Esra and Akgül, Ali and Khan, Yasir and Baleanu, Dumitru} } APA Karatas Akgül, E , Akgül, A , Khan, Y , Baleanu, D . (2019). Representation for the reproducing kernel Hilbert space method for a nonlinear system. Hacettepe Journal of Mathematics and Statistics , 48 (5) , 1345-1355 . Retrieved from https://dergipark.org.tr/en/pub/hujms/issue/49321/629831 MLA Karatas Akgül, E , Akgül, A , Khan, Y , Baleanu, D . "Representation for the reproducing kernel Hilbert space method for a nonlinear system". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1345-1355 Chicago Karatas Akgül, E , Akgül, A , Khan, Y , Baleanu, D . "Representation for the reproducing kernel Hilbert space method for a nonlinear system". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1345-1355 RIS TY - JOUR T1 - Representation for the reproducing kernel Hilbert space method for a nonlinear system AU - Esra Karatas Akgül , Ali Akgül , Yasir Khan , Dumitru Baleanu Y1 - 2019 PY - 2019 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1345 EP - 1355 VL - 48 IS - 5 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2018 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Representation for the reproducing kernel Hilbert space method for a nonlinear system %A Esra Karatas Akgül , Ali Akgül , Yasir Khan , Dumitru Baleanu %T Representation for the reproducing kernel Hilbert space method for a nonlinear system %D 2019 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 48 %N 5 %R %U ISNAD Karatas Akgül, Esra , Akgül, Ali , Khan, Yasir , Baleanu, Dumitru . "Representation for the reproducing kernel Hilbert space method for a nonlinear system". Hacettepe Journal of Mathematics and Statistics 48 / 5 (October 2019): 1345-1355 . AMA Karatas Akgül E , Akgül A , Khan Y , Baleanu D . Representation for the reproducing kernel Hilbert space method for a nonlinear system. Hacettepe Journal of Mathematics and Statistics. 2019; 48(5): 1345-1355. Vancouver Karatas Akgül E , Akgül A , Khan Y , Baleanu D . Representation for the reproducing kernel Hilbert space method for a nonlinear system. Hacettepe Journal of Mathematics and Statistics. 2019; 48(5): 1355-1345.