Gao, Yijin; Xie, Bowen Numerical analysis for fractional Bratu type equation with explicit and implicit methods. (English) Zbl 07816011 Math. Methods Appl. Sci. 46, No. 17, 18447-18457 (2023). MSC: 34A08 65M06 65N06 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{B. Xie}, Math. Methods Appl. Sci. 46, No. 17, 18447--18457 (2023; Zbl 07816011) Full Text: DOI
Khalouta, Ali A novel representation of numerical solution for fractional Bratu-type equation. (English) Zbl 1492.65185 Adv. Stud.: Euro-Tbil. Math. J. 15, No. 1, 93-109 (2022). MSC: 65L03 26A33 34A08 PDFBibTeX XMLCite \textit{A. Khalouta}, Adv. Stud.: Euro-Tbil. Math. J. 15, No. 1, 93--109 (2022; Zbl 1492.65185) Full Text: DOI
Singh, Harendra; Singh, Amit Kumar; Pandey, Rajesh K.; Kumar, Devendra; Singh, Jagdev An efficient computational approach for fractional Bratu’s equation arising in electrospinning process. (English) Zbl 1504.65145 Math. Methods Appl. Sci. 44, No. 13, 10225-10238 (2021). MSC: 65L05 34A08 62L20 PDFBibTeX XMLCite \textit{H. Singh} et al., Math. Methods Appl. Sci. 44, No. 13, 10225--10238 (2021; Zbl 1504.65145) Full Text: DOI
Khalouta, Ali; Kadem, Abdelouahab A new reliable method and its convergence for nonlinear second-order fractional differential equations. (English) Zbl 1496.34014 Tbil. Math. J. 13, No. 3, 133-143 (2020). MSC: 34A08 34A45 PDFBibTeX XMLCite \textit{A. Khalouta} and \textit{A. Kadem}, Tbil. Math. J. 13, No. 3, 133--143 (2020; Zbl 1496.34014) Full Text: DOI
Ilie, M. Analytic solution for second-order fractional differential equations via HPM. (English) Zbl 1513.34071 J. Fract. Calc. Appl. 11, No. 1, 121-137 (2020). MSC: 34A45 34A08 PDFBibTeX XMLCite \textit{M. Ilie}, J. Fract. Calc. Appl. 11, No. 1, 121--137 (2020; Zbl 1513.34071) Full Text: Link
Khalouta, Ali; Kadem, Abdelouahab Solution of the fractional Bratu-type equation via fractional residual power series method. (English) Zbl 1483.65119 Tatra Mt. Math. Publ. 76, 127-142 (2020). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{A. Khalouta} and \textit{A. Kadem}, Tatra Mt. Math. Publ. 76, 127--142 (2020; Zbl 1483.65119) Full Text: DOI
Pirmohabbati, P.; Refahi Sheikhani, A. H.; Ziabari, A. Abdolahzadeh Numerical solution of nonlinear fractional Bratu equation with hybrid method. (English) Zbl 1469.65121 Int. J. Appl. Comput. Math. 6, No. 6, Paper No. 162, 22 p. (2020). MSC: 65L05 34A08 35E15 PDFBibTeX XMLCite \textit{P. Pirmohabbati} et al., Int. J. Appl. Comput. Math. 6, No. 6, Paper No. 162, 22 p. (2020; Zbl 1469.65121) Full Text: DOI
Singh, Harendra; Ghassabzadeh, Fahimeh Akhavan; Tohidi, Emran; Cattani, Carlo Legendre spectral method for the fractional Bratu problem. (English) Zbl 1451.65162 Math. Methods Appl. Sci. 43, No. 9, 5941-5952 (2020). MSC: 65M70 65N35 34A08 34B15 35Q82 35R11 26A33 PDFBibTeX XMLCite \textit{H. Singh} et al., Math. Methods Appl. Sci. 43, No. 9, 5941--5952 (2020; Zbl 1451.65162) Full Text: DOI
Felahat, M.; Kadkhoda, N.; Fečkan, M. Investigation of solutions to the fractional integro-differential equations of Bratu-type using Legendre wavelets method. (English) Zbl 1463.35483 Miskolc Math. Notes 21, No. 1, 189-202 (2020). MSC: 35R09 35R11 PDFBibTeX XMLCite \textit{M. Felahat} et al., Miskolc Math. Notes 21, No. 1, 189--202 (2020; Zbl 1463.35483) Full Text: DOI
Sakar, Mehmet Giyas; Saldır, Onur; Akgül, Ali Numerical solution of fractional Bratu type equations with Legendre reproducing kernel method. (English) Zbl 1402.34010 Int. J. Appl. Comput. Math. 4, No. 5, Paper No. 126, 14 p. (2018). MSC: 34A08 34A45 34B15 PDFBibTeX XMLCite \textit{M. G. Sakar} et al., Int. J. Appl. Comput. Math. 4, No. 5, Paper No. 126, 14 p. (2018; Zbl 1402.34010) Full Text: DOI arXiv
Babolian, Esmail; Javadi, Shahnam; Moradi, Eslam RKM for solving Bratu-type differential equations of fractional order. (English) Zbl 1350.65080 Math. Methods Appl. Sci. 39, No. 6, 1548-1557 (2016). Reviewer: Johannes Schropp (Konstanz) MSC: 65L15 46E22 34A08 34L16 34L30 PDFBibTeX XMLCite \textit{E. Babolian} et al., Math. Methods Appl. Sci. 39, No. 6, 1548--1557 (2016; Zbl 1350.65080) Full Text: DOI
Jafari, Hossein; Daftardar-Gejji, Varsha Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method. (English) Zbl 1102.65136 Appl. Math. Comput. 180, No. 2, 700-706 (2006). MSC: 65R20 45J05 45G10 PDFBibTeX XMLCite \textit{H. Jafari} and \textit{V. Daftardar-Gejji}, Appl. Math. Comput. 180, No. 2, 700--706 (2006; Zbl 1102.65136) Full Text: DOI