Al-Qudah, Alaa; Odibat, Zaid; Shawagfeh, Nabil An optimal homotopy analysis transform method for handling nonlinear PDEs. (English) Zbl 1505.65282 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 260, 19 p. (2022). MSC: 65M99 44A10 41A58 65M12 34A34 35Q53 PDFBibTeX XMLCite \textit{A. Al-Qudah} et al., Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 260, 19 p. (2022; Zbl 1505.65282) Full Text: DOI
Bahia, Ghenaiet; Ouannas, Adel; Batiha, Iqbal M.; Odibat, Zaid The optimal homotopy analysis method applied on nonlinear time-fractional hyperbolic partial differential equation. (English) Zbl 07776056 Numer. Methods Partial Differ. Equations 37, No. 3, 2008-2022 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{G. Bahia} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2008--2022 (2021; Zbl 07776056) Full Text: DOI
Odibat, Zaid Fractional power series solutions of fractional differential equations by using generalized Taylor series. (English) Zbl 1455.34009 Appl. Comput. Math. 19, No. 1, 47-58 (2020). MSC: 34A08 34A25 34C20 41A58 34A12 PDFBibTeX XMLCite \textit{Z. Odibat}, Appl. Comput. Math. 19, No. 1, 47--58 (2020; Zbl 1455.34009) Full Text: Link
Odibat, Zaid M.; Kumar, Sunil; Shawagfeh, Nabil; Alsaedi, Ahmed; Hayat, Tasawar A study on the convergence conditions of generalized differential transform method. (English) Zbl 1354.26013 Math. Methods Appl. Sci. 40, No. 1, 40-48 (2017). MSC: 26A33 34A08 65L20 PDFBibTeX XMLCite \textit{Z. M. Odibat} et al., Math. Methods Appl. Sci. 40, No. 1, 40--48 (2017; Zbl 1354.26013) Full Text: DOI
Odibat, Zaid; Bataineh, A. Sami An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials. (English) Zbl 1318.34021 Math. Methods Appl. Sci. 38, No. 5, 991-1000 (2015). MSC: 34A45 34A12 34A34 41A58 PDFBibTeX XMLCite \textit{Z. Odibat} and \textit{A. S. Bataineh}, Math. Methods Appl. Sci. 38, No. 5, 991--1000 (2015; Zbl 1318.34021) Full Text: DOI
Odibat, Zaid M. A study on the convergence of homotopy analysis method. (English) Zbl 1203.65105 Appl. Math. Comput. 217, No. 2, 782-789 (2010). Reviewer: Werner M. Seiler (Kassel) MSC: 65L05 41A58 34A25 34A34 65L70 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Appl. Math. Comput. 217, No. 2, 782--789 (2010; Zbl 1203.65105) Full Text: DOI
Odibat, Zaid; Momani, Shaher; Erturk, Vedat Suat Generalized differential transform method: Application to differential equations of fractional order. (English) Zbl 1141.65092 Appl. Math. Comput. 197, No. 2, 467-477 (2008). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 26A33 34K05 34K07 45J05 65L05 65L20 PDFBibTeX XMLCite \textit{Z. Odibat} et al., Appl. Math. Comput. 197, No. 2, 467--477 (2008; Zbl 1141.65092) Full Text: DOI