Hassan, Mohsan; Al-Khaled, Kamel; Khan, Sami Ullah; Tlili, Iskander; Chammam, Wathek Assessment of boundary layer for flow of non-Newtonian material induced by a moving belt with power law viscosity and thermal conductivity models. (English) Zbl 07776986 Numer. Methods Partial Differ. Equations 39, No. 3, 1827-1840 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Hassan} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 1827--1840 (2023; Zbl 07776986) Full Text: DOI
Liao, Shijun Avoiding small denominator problems by means of the homotopy analysis method. (English) Zbl 1524.65301 Adv. Appl. Math. Mech. 15, No. 2, 267-299 (2023). MSC: 65L99 34A25 34C25 41A58 PDFBibTeX XMLCite \textit{S. Liao}, Adv. Appl. Math. Mech. 15, No. 2, 267--299 (2023; Zbl 1524.65301) Full Text: DOI arXiv
Ghosh, Uttam; Das, Tapas; Sarkar, Susmita Homotopy analysis method and time-fractional NLSE with double cosine, Morse, and new hyperbolic potential traps. (English) Zbl 1525.35229 Russ. J. Nonlinear Dyn. 18, No. 2, 309-328 (2022). MSC: 35R11 35A22 35Q55 26A33 PDFBibTeX XMLCite \textit{U. Ghosh} et al., Russ. J. Nonlinear Dyn. 18, No. 2, 309--328 (2022; Zbl 1525.35229) Full Text: DOI MNR
Pinar, Zehra Semi-analytical solutions of batch system population balance models. (English) Zbl 1500.45007 Thai J. Math. 20, No. 2, 545-555 (2022). MSC: 45K05 45L05 65R20 92D25 PDFBibTeX XMLCite \textit{Z. Pinar}, Thai J. Math. 20, No. 2, 545--555 (2022; Zbl 1500.45007) Full Text: Link
Luo, Xin-long; Xiao, Hang; Lv, Jia-hui Continuation Newton methods with the residual trust-region time-stepping scheme for nonlinear equations. (English) Zbl 1480.65125 Numer. Algorithms 89, No. 1, 223-247 (2022). MSC: 65H20 65H10 65K05 65L05 65L20 PDFBibTeX XMLCite \textit{X.-l. Luo} et al., Numer. Algorithms 89, No. 1, 223--247 (2022; Zbl 1480.65125) Full Text: DOI arXiv
Berx, Jonas; Indekeu, Joseph O. BLUES iteration applied to nonlinear ordinary differential equations for wave propagation and heat transfer. (English) Zbl 1519.35052 J. Phys. A, Math. Theor. 54, No. 2, Article ID 025702, 19 p. (2021). MSC: 35C07 35K58 81Q80 PDFBibTeX XMLCite \textit{J. Berx} and \textit{J. O. Indekeu}, J. Phys. A, Math. Theor. 54, No. 2, Article ID 025702, 19 p. (2021; Zbl 1519.35052) Full Text: DOI arXiv
Hajimohammadi, Zeinab; Baharifard, Fatemeh; Ghodsi, Ali; Parand, Kourosh Fractional Chebyshev deep neural network (FCDNN) for solving differential models. (English) Zbl 1498.35575 Chaos Solitons Fractals 153, Part 2, Article ID 111530, 15 p. (2021). MSC: 35R11 PDFBibTeX XMLCite \textit{Z. Hajimohammadi} et al., Chaos Solitons Fractals 153, Part 2, Article ID 111530, 15 p. (2021; Zbl 1498.35575) Full Text: DOI
Gu, Yiqi; Wang, Chunmei; Yang, Haizhao Structure probing neural network deflation. (English) Zbl 07508532 J. Comput. Phys. 434, Article ID 110231, 21 p. (2021). MSC: 65Hxx 34Bxx 65Lxx PDFBibTeX XMLCite \textit{Y. Gu} et al., J. Comput. Phys. 434, Article ID 110231, 21 p. (2021; Zbl 07508532) Full Text: DOI arXiv
Singh, Randhir; Singh, Gagandeep; Singh, Mehakpreet Numerical algorithm for solution of the system of Emden-Fowler type equations. (English) Zbl 1513.65239 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 136, 20 p. (2021). MSC: 65L10 34B05 34B15 34B16 34B18 34B27 PDFBibTeX XMLCite \textit{R. Singh} et al., Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 136, 20 p. (2021; Zbl 1513.65239) Full Text: DOI
Kumar Mishra, Hradyesh; Pandey, Rishi Kumar Time-fractional nonlinear dispersive type of the Zakharov-Kuznetsov equation via HAFSTM. (English) Zbl 1490.35521 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 97-110 (2021). MSC: 35R11 65M99 35Q53 PDFBibTeX XMLCite \textit{H. Kumar Mishra} and \textit{R. K. Pandey}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 97--110 (2021; Zbl 1490.35521) Full Text: DOI
Jafarimoghaddam, A.; Roşca, N. C.; Roşca, A. V.; Pop, I. The universal Blasius problem: new results by Duan-Rach Adomian decomposition method with Jafarimoghaddam contraction mapping theorem and numerical solutions. (English) Zbl 07428947 Math. Comput. Simul. 187, 60-76 (2021). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{A. Jafarimoghaddam} et al., Math. Comput. Simul. 187, 60--76 (2021; Zbl 07428947) Full Text: DOI
Sahabandu, C. W.; Karunarathna, D.; Sewvandi, P.; Juman, Z. A. M. S.; Dewasurendra, M.; Vajravelu, K. A method of directly defining the inverse mapping for a nonlinear partial differential equation and for systems of nonlinear partial differential equations. (English) Zbl 1476.35098 Comput. Appl. Math. 40, No. 6, Paper No. 234, 16 p. (2021). MSC: 35G20 35G50 65N99 PDFBibTeX XMLCite \textit{C. W. Sahabandu} et al., Comput. Appl. Math. 40, No. 6, Paper No. 234, 16 p. (2021; Zbl 1476.35098) Full Text: DOI
Luo, Xin-long; Xiao, Hang Generalized continuation Newton methods and the trust-region updating strategy for the underdetermined system. (English) Zbl 07389353 J. Sci. Comput. 88, No. 3, Paper No. 56, 22 p. (2021). MSC: 65K05 65L05 65L20 PDFBibTeX XMLCite \textit{X.-l. Luo} and \textit{H. Xiao}, J. Sci. Comput. 88, No. 3, Paper No. 56, 22 p. (2021; Zbl 07389353) Full Text: DOI arXiv
Rana, Puneet; Shukla, Nisha; Bég, O. Anwar; Bhardwaj, Anuj Lie group analysis of nanofluid slip flow with Stefan blowing effect via modified Buongiorno’s model: entropy generation analysis. (English) Zbl 1466.35301 Differ. Equ. Dyn. Syst. 29, No. 1, 193-210 (2021). MSC: 35Q35 76T20 65N99 35B44 80A19 PDFBibTeX XMLCite \textit{P. Rana} et al., Differ. Equ. Dyn. Syst. 29, No. 1, 193--210 (2021; Zbl 1466.35301) Full Text: DOI Link
Zhou, Yang; Wu, Baisheng; Lim, C. W.; Sun, Weipeng Analytical approximations to primary resonance response of harmonically forced oscillators with strongly general nonlinearity. (English) Zbl 1481.70089 Appl. Math. Modelling 87, 534-545 (2020). MSC: 70K30 34C15 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Appl. Math. Modelling 87, 534--545 (2020; Zbl 1481.70089) Full Text: DOI
Wang, Anyang; Xu, Hang; Yu, Qiang Homotopy coiflets wavelet solution of electrohydrodynamic flows in a circular cylindrical conduit. (English) Zbl 1457.76203 AMM, Appl. Math. Mech., Engl. Ed. 41, No. 5, 681-698 (2020). MSC: 76W05 65L99 65T60 76M99 PDFBibTeX XMLCite \textit{A. Wang} et al., AMM, Appl. Math. Mech., Engl. Ed. 41, No. 5, 681--698 (2020; Zbl 1457.76203) Full Text: DOI
Sacramento, Marta; Almeida, Cecília; Moreira, Miguel IFOHAM – a generalization of the Picard-Lindelöf iteration method. (IFOHAM – a generalization of the Picard-Lindelöff iteration method.) (English) Zbl 1454.65054 Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. Selected papers based on the presentations at the fourth international conference, ICDDEA 2019, Lisbon, Portugal, July 1–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 333, 497-516 (2020). MSC: 65L99 34C15 65L05 PDFBibTeX XMLCite \textit{M. Sacramento} et al., Springer Proc. Math. Stat. 333, 497--516 (2020; Zbl 1454.65054) Full Text: DOI
Khan, Hassan; Khan, Adnan; Al Qurashi, Maysaa; Baleanu, Dumitru; Shah, Rasool An analytical investigation of fractional-order biological model using an innovative technique. (English) Zbl 1435.92054 Complexity 2020, Article ID 5047054, 13 p. (2020). MSC: 92D25 35R11 65M99 PDFBibTeX XMLCite \textit{H. Khan} et al., Complexity 2020, Article ID 5047054, 13 p. (2020; Zbl 1435.92054) Full Text: DOI
Zhang, Guoqi; Wu, Zhiqiang Approximate limit cycles of coupled nonlinear oscillators with fractional derivatives. (English) Zbl 1481.34014 Appl. Math. Modelling 77, Part 2, 1294-1309 (2020). MSC: 34A08 34A45 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{Z. Wu}, Appl. Math. Modelling 77, Part 2, 1294--1309 (2020; Zbl 1481.34014) Full Text: DOI
Nave, OPhir; Sharma, Manju Singular perturbed vector field (SPVF) applied to complex ODE system with hidden hierarchy application to turbocharger engine model. (English) Zbl 07168438 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 1, 99-113 (2020). MSC: 34A05 34A09 34A34 34A45 PDFBibTeX XMLCite \textit{O. Nave} and \textit{M. Sharma}, Int. J. Nonlinear Sci. Numer. Simul. 21, No. 1, 99--113 (2020; Zbl 07168438) Full Text: DOI
Berx, Jonas; Indekeu, Joseph O. Analytic iteration procedure for solitons and traveling wavefronts with sources. (English) Zbl 1504.35435 J. Phys. A, Math. Theor. 52, No. 38, Article ID 38LT01, 10 p. (2019). MSC: 35Q53 35C07 35C08 PDFBibTeX XMLCite \textit{J. Berx} and \textit{J. O. Indekeu}, J. Phys. A, Math. Theor. 52, No. 38, Article ID 38LT01, 10 p. (2019; Zbl 1504.35435) Full Text: DOI arXiv
Shah, Rasool; Khan, Hassan; Baleanu, Dumitru; Kumam, Poom; Arif, Muhammad A novel method for the analytical solution of fractional Zakharov-Kuznetsov equations. (English) Zbl 1487.35419 Adv. Difference Equ. 2019, Paper No. 517, 14 p. (2019). MSC: 35R11 26A33 35C10 PDFBibTeX XMLCite \textit{R. Shah} et al., Adv. Difference Equ. 2019, Paper No. 517, 14 p. (2019; Zbl 1487.35419) Full Text: DOI
Shajari, P. Sattari; Shidfar, A. Application of weighted homotopy analysis method to solve an inverse source problem for wave equation. (English) Zbl 1471.65125 Inverse Probl. Sci. Eng. 27, No. 1, 61-88 (2019). MSC: 65M32 35M99 35R30 35L20 35L05 35C10 PDFBibTeX XMLCite \textit{P. S. Shajari} and \textit{A. Shidfar}, Inverse Probl. Sci. Eng. 27, No. 1, 61--88 (2019; Zbl 1471.65125) Full Text: DOI
Zhang, Guoqi; Wu, Zhiqiang Homotopy analysis method for approximations of Duffing oscillator with dual frequency excitations. (English) Zbl 1448.34077 Chaos Solitons Fractals 127, 342-353 (2019). MSC: 34C15 34C27 34C60 34A45 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{Z. Wu}, Chaos Solitons Fractals 127, 342--353 (2019; Zbl 1448.34077) Full Text: DOI
Munjam, Shankar Rao; Seshadri, Rajeswari Analytical solutions of nonlinear system of fractional-order van der Pol equations. (English) Zbl 1437.34011 Nonlinear Dyn. 95, No. 4, 2837-2854 (2019). MSC: 34A08 34C25 26A33 PDFBibTeX XMLCite \textit{S. R. Munjam} and \textit{R. Seshadri}, Nonlinear Dyn. 95, No. 4, 2837--2854 (2019; Zbl 1437.34011) Full Text: DOI
Alipour, M.; Vali, M. A.; Borzabadi, A. H. A hybrid parametrization approach for a class of nonlinear optimal control problems. (English) Zbl 1439.49041 Numer. Algebra Control Optim. 9, No. 4, 493-506 (2019). MSC: 49K21 65K10 PDFBibTeX XMLCite \textit{M. Alipour} et al., Numer. Algebra Control Optim. 9, No. 4, 493--506 (2019; Zbl 1439.49041) Full Text: DOI
Eltayeb, Hassan; Abdalla, Yahya T.; Bachar, Imed; Khabir, Mohamed H. Fractional telegraph equation and its solution by natural transform decomposition method. (English) Zbl 1423.35393 Symmetry 11, No. 3, Paper No. 334, 14 p. (2019). MSC: 35R11 35A22 35A25 PDFBibTeX XMLCite \textit{H. Eltayeb} et al., Symmetry 11, No. 3, Paper No. 334, 14 p. (2019; Zbl 1423.35393) Full Text: DOI
Yavuz, Mehmet; Özdemir, Necati New numerical techniques for solving fractional partial differential equations in conformable sense. (English) Zbl 1447.35366 Ostalczyk, Piotr (ed.) et al., Non-integer order calculus and its applications. Papers of the 9th international conference on non-integer order calculus and its applications, Łódź, Poland, October 11–13, 2017. Cham: Springer. Lect. Notes Electr. Eng. 496, 49-62 (2019). MSC: 35R11 35A35 PDFBibTeX XMLCite \textit{M. Yavuz} and \textit{N. Özdemir}, Lect. Notes Electr. Eng. 496, 49--62 (2019; Zbl 1447.35366) Full Text: DOI
Van Gorder, Robert A. Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations. (English) Zbl 1416.65251 Numer. Algorithms 81, No. 1, 181-196 (2019). MSC: 65L99 PDFBibTeX XMLCite \textit{R. A. Van Gorder}, Numer. Algorithms 81, No. 1, 181--196 (2019; Zbl 1416.65251) Full Text: DOI
Maitama, Shehu; Zhao, Weidong Local fractional homotopy analysis method for solving non-differentiable problems on Cantor sets. (English) Zbl 1459.34033 Adv. Difference Equ. 2019, Paper No. 127, 22 p. (2019). MSC: 34A08 65H20 26A33 PDFBibTeX XMLCite \textit{S. Maitama} and \textit{W. Zhao}, Adv. Difference Equ. 2019, Paper No. 127, 22 p. (2019; Zbl 1459.34033) Full Text: DOI
Yépez-Martínez, H.; Gómez-Aguilar, J. F. A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM). (English) Zbl 1402.26005 J. Comput. Appl. Math. 346, 247-260 (2019). MSC: 26A33 34A08 34A45 65L99 PDFBibTeX XMLCite \textit{H. Yépez-Martínez} and \textit{J. F. Gómez-Aguilar}, J. Comput. Appl. Math. 346, 247--260 (2019; Zbl 1402.26005) Full Text: DOI
Dewasurendra, Mangalagama; Vajravelu, Kuppalapalle On the method of inverse mapping for solutions of coupled systems of nonlinear differential equations arising in nanofluid flow, heat and mass transfer. (English) Zbl 1524.34039 Appl. Math. Nonlinear Sci. 3, No. 1, 1-14 (2018). MSC: 34A45 34A25 34A34 34B15 PDFBibTeX XMLCite \textit{M. Dewasurendra} and \textit{K. Vajravelu}, Appl. Math. Nonlinear Sci. 3, No. 1, 1--14 (2018; Zbl 1524.34039) Full Text: DOI
Turkyilmazoglu, M. Convergence accelerating in the homotopy analysis method: a new approach. (English) Zbl 1488.65214 Adv. Appl. Math. Mech. 10, No. 4, 925-947 (2018). MSC: 65L99 PDFBibTeX XMLCite \textit{M. Turkyilmazoglu}, Adv. Appl. Math. Mech. 10, No. 4, 925--947 (2018; Zbl 1488.65214) Full Text: DOI
Nave, Ophir; Elbaz, Miriam Combination of singularly perturbed vector field method and method of directly defining the inverse mapping applied to complex ODE system prostate cancer model. (English) Zbl 1447.92204 J. Biol. Dyn. 12, No. 1, 961-986 (2018). MSC: 92C50 34D15 PDFBibTeX XMLCite \textit{O. Nave} and \textit{M. Elbaz}, J. Biol. Dyn. 12, No. 1, 961--986 (2018; Zbl 1447.92204) Full Text: DOI
Geethamalini, S.; Balamuralitharan, S. Semianalytical solutions by homotopy analysis method for EIAV infection with stability analysis. (English) Zbl 1448.92293 Adv. Difference Equ. 2018, Paper No. 356, 14 p. (2018). MSC: 92D30 37N25 34A34 PDFBibTeX XMLCite \textit{S. Geethamalini} and \textit{S. Balamuralitharan}, Adv. Difference Equ. 2018, Paper No. 356, 14 p. (2018; Zbl 1448.92293) Full Text: DOI
Cui, Jifeng; Zhang, Wenyu; Liu, Zeng; Sun, Jianglong On the limit cycles, period-doubling, and quasi-periodic solutions of the forced van der Pol-Duffing oscillator. (English) Zbl 1445.65045 Numer. Algorithms 78, No. 4, 1217-1231 (2018). Reviewer: Alois Steindl (Wien) MSC: 65P10 34C46 65L07 34C15 70K42 PDFBibTeX XMLCite \textit{J. Cui} et al., Numer. Algorithms 78, No. 4, 1217--1231 (2018; Zbl 1445.65045) Full Text: DOI
Nave, Ophir; Elbaz, Miriam Method of directly defining the inverse mapping applied to prostate cancer immunotherapy – mathematical model. (English) Zbl 1400.34072 Int. J. Biomath. 11, No. 5, Article ID 1850072, 22 p. (2018). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 34C60 34A45 92C37 PDFBibTeX XMLCite \textit{O. Nave} and \textit{M. Elbaz}, Int. J. Biomath. 11, No. 5, Article ID 1850072, 22 p. (2018; Zbl 1400.34072) Full Text: DOI
Fu, H. X.; Qian, Y. H. Study on a multi-frequency homotopy analysis method for period-doubling solutions of nonlinear systems. (English) Zbl 1391.34034 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 4, Article ID 1850049, 11 p. (2018). MSC: 34A45 34C15 37C60 34C25 34C23 PDFBibTeX XMLCite \textit{H. X. Fu} and \textit{Y. H. Qian}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 4, Article ID 1850049, 11 p. (2018; Zbl 1391.34034) Full Text: DOI
Baxter, Mathew; Dewasurendra, Mangalagama; Vajravelu, Kuppalapalle A method of directly defining the inverse mapping for solutions of coupled systems of nonlinear differential equations. (English) Zbl 1444.65044 Numer. Algorithms 77, No. 4, 1199-1211 (2018). MSC: 65L99 34A55 34B15 76R10 76S05 35Q35 PDFBibTeX XMLCite \textit{M. Baxter} et al., Numer. Algorithms 77, No. 4, 1199--1211 (2018; Zbl 1444.65044) Full Text: DOI
Yang, Zhaochen; Liao, Shijun On the generalized wavelet-Galerkin method. (English) Zbl 1377.65098 J. Comput. Appl. Math. 331, 178-195 (2018). MSC: 65L60 65L10 34B15 65T60 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{S. Liao}, J. Comput. Appl. Math. 331, 178--195 (2018; Zbl 1377.65098) Full Text: DOI arXiv
Yang, Zhaochen; Liao, Shijun A HAM-based wavelet approach for nonlinear partial differential equations: two dimensional Bratu problem as an application. (English) Zbl 1510.65311 Commun. Nonlinear Sci. Numer. Simul. 53, 249-262 (2017). MSC: 65N99 65T60 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 53, 249--262 (2017; Zbl 1510.65311) Full Text: DOI
Yang, Zhaochen; Liao, Shijun A HAM-based wavelet approach for nonlinear ordinary differential equations. (English) Zbl 1510.65181 Commun. Nonlinear Sci. Numer. Simul. 48, 439-453 (2017). MSC: 65L99 34A45 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{S. Liao}, Commun. Nonlinear Sci. Numer. Simul. 48, 439--453 (2017; Zbl 1510.65181) Full Text: DOI
Ateş, I.; Zegeling, P. A. A homotopy perturbation method for fractional-order advection-diffusion-reaction boundary-value problems. (English) Zbl 1446.34007 Appl. Math. Modelling 47, 425-441 (2017). MSC: 34A08 34A45 34B15 65L99 PDFBibTeX XMLCite \textit{I. Ateş} and \textit{P. A. Zegeling}, Appl. Math. Modelling 47, 425--441 (2017; Zbl 1446.34007) Full Text: DOI
Jia, Wenjuan; He, Xiqin; Guo, Liangdong The optimal homotopy analysis method for solving linear optimal control problems. (English) Zbl 1446.49026 Appl. Math. Modelling 45, 865-880 (2017). MSC: 49M99 49K15 49M20 PDFBibTeX XMLCite \textit{W. Jia} et al., Appl. Math. Modelling 45, 865--880 (2017; Zbl 1446.49026) Full Text: DOI
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru Analytic study of Allen-Cahn equation of fractional order. (English) Zbl 1409.35220 Bull. Math. Anal. Appl. 9, No. 1, 31-40 (2017). MSC: 35R11 35A20 35A22 PDFBibTeX XMLCite \textit{D. Kumar} et al., Bull. Math. Anal. Appl. 9, No. 1, 31--40 (2017; Zbl 1409.35220) Full Text: Link
Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Torres-Jiménez, J.; Córdova-Fraga, T.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H. Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel. (English) Zbl 1422.35165 Adv. Difference Equ. 2017, Paper No. 68, 18 p. (2017). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{J. F. Gómez-Aguilar} et al., Adv. Difference Equ. 2017, Paper No. 68, 18 p. (2017; Zbl 1422.35165) Full Text: DOI
Zhong, Xiaoxu; Liao, Shijun On the homotopy analysis method for backward/forward-backward stochastic differential equations. (English) Zbl 1377.65009 Numer. Algorithms 76, No. 2, 487-519 (2017). MSC: 65C30 60H10 60H35 34F05 65Y20 PDFBibTeX XMLCite \textit{X. Zhong} and \textit{S. Liao}, Numer. Algorithms 76, No. 2, 487--519 (2017; Zbl 1377.65009) Full Text: DOI arXiv
Van Gorder, Robert A. On the utility of the homotopy analysis method for non-analytic and global solutions to nonlinear differential equations. (English) Zbl 1375.65103 Numer. Algorithms 76, No. 1, 151-162 (2017). MSC: 65L10 34B15 34A25 65L20 PDFBibTeX XMLCite \textit{R. A. Van Gorder}, Numer. Algorithms 76, No. 1, 151--162 (2017; Zbl 1375.65103) Full Text: DOI
Pandey, Rishi Kumar; Mishra, Hradyesh Kumar Homotopy analysis Sumudu transform method for time-fractional third order dispersive partial differential equation. (English) Zbl 1482.65202 Adv. Comput. Math. 43, No. 2, 365-383 (2017). MSC: 65M99 35R11 PDFBibTeX XMLCite \textit{R. K. Pandey} and \textit{H. K. Mishra}, Adv. Comput. Math. 43, No. 2, 365--383 (2017; Zbl 1482.65202) Full Text: DOI
Zhang, Xiaolong; Liang, Songxin; Zou, Li Uniqueness and error estimates for solutions to higher-order boundary value problems. (English) Zbl 1366.65072 J. Comput. Appl. Math. 321, 44-59 (2017). MSC: 65L10 34B15 65L70 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Comput. Appl. Math. 321, 44--59 (2017; Zbl 1366.65072) Full Text: DOI
Najafi, Ramin; Küçük, Gökçe Dilek; Çelik, Ercan Modified iteration method for solving fractional gas dynamics equation. (English) Zbl 1404.44002 Math. Methods Appl. Sci. 40, No. 4, 939-946 (2017). MSC: 44A10 35C10 35R11 PDFBibTeX XMLCite \textit{R. Najafi} et al., Math. Methods Appl. Sci. 40, No. 4, 939--946 (2017; Zbl 1404.44002) Full Text: DOI
Bakkyaraj, T.; Sahadevan, R. Approximate analytical solution of two coupled time fractional nonlinear Schrödinger equations. (English) Zbl 1420.65083 Int. J. Appl. Comput. Math. 2, No. 1, 113-135 (2016). MSC: 65L99 35R11 35Q55 PDFBibTeX XMLCite \textit{T. Bakkyaraj} and \textit{R. Sahadevan}, Int. J. Appl. Comput. Math. 2, No. 1, 113--135 (2016; Zbl 1420.65083) Full Text: DOI
Hendi, F. A.; Kashkari, B. S.; Alderremy, A. A. The variational homotopy perturbation method for solving \(((n\times n)+1)\) dimensional Burgers’ equations. (English) Zbl 1435.65184 J. Appl. Math. 2016, Article ID 4146323, 6 p. (2016). MSC: 65M99 35Q53 PDFBibTeX XMLCite \textit{F. A. Hendi} et al., J. Appl. Math. 2016, Article ID 4146323, 6 p. (2016; Zbl 1435.65184) Full Text: DOI
Mohammadyari, R.; Rahimi, J.; Rahimipetroudi, I.; Rahimi-Esbo, M. Homotopy analysis method to determine magneto hydrodynamics flow of compressible fluid in a channel with porous walls. (English) Zbl 1424.76047 Bol. Soc. Parana. Mat. (3) 34, No. 1, 173-186 (2016). MSC: 76W05 76S05 35Q35 76M25 65N99 74F10 PDFBibTeX XMLCite \textit{R. Mohammadyari} et al., Bol. Soc. Parana. Mat. (3) 34, No. 1, 173--186 (2016; Zbl 1424.76047) Full Text: Link
Gómez-Aguilar, J. F.; Torres, L.; Yépez-Martínez, H.; Baleanu, D.; Reyes, J. M.; Sosa, I. O. Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel. (English) Zbl 1419.35208 Adv. Difference Equ. 2016, Paper No. 173, 13 p. (2016). MSC: 35R11 34A08 34A25 26A33 65M99 35Q35 PDFBibTeX XMLCite \textit{J. F. Gómez-Aguilar} et al., Adv. Difference Equ. 2016, Paper No. 173, 13 p. (2016; Zbl 1419.35208) Full Text: DOI
Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Baleanu, Dumitru; Escobar-Jimenez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular. (English) Zbl 1419.35220 Adv. Difference Equ. 2016, Paper No. 164, 17 p. (2016). MSC: 35R11 26A33 34A08 65M99 34A45 PDFBibTeX XMLCite \textit{V. F. Morales-Delgado} et al., Adv. Difference Equ. 2016, Paper No. 164, 17 p. (2016; Zbl 1419.35220) Full Text: DOI
Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H.; Reyes, J. M.; Sosa, I. O. Series solution for the time-fractional coupled mkdv equation using the homotopy analysis method. (English) Zbl 1400.35066 Math. Probl. Eng. 2016, Article ID 7047126, 8 p. (2016). MSC: 35C10 35R11 35Q53 PDFBibTeX XMLCite \textit{J. F. Gómez-Aguilar} et al., Math. Probl. Eng. 2016, Article ID 7047126, 8 p. (2016; Zbl 1400.35066) Full Text: DOI
Saha Ray, S.; Sahoo, S. Comparison of two reliable analytical methods based on the solutions of fractional coupled Klein-Gordon-Zakharov equations in plasma physics. (English) Zbl 1432.35230 Comput. Math. Math. Phys. 56, No. 7, 1319-1335 (2016). MSC: 35R11 35Q82 PDFBibTeX XMLCite \textit{S. Saha Ray} and \textit{S. Sahoo}, Comput. Math. Math. Phys. 56, No. 7, 1319--1335 (2016; Zbl 1432.35230) Full Text: DOI
Liao, Shijun; Zhao, Yinlong On the method of directly defining inverse mapping for nonlinear differential equations. (English) Zbl 1381.65055 Numer. Algorithms 72, No. 4, 989-1020 (2016). Reviewer: Johannes Schropp (Konstanz) MSC: 65L09 65L10 34A55 34B15 PDFBibTeX XMLCite \textit{S. Liao} and \textit{Y. Zhao}, Numer. Algorithms 72, No. 4, 989--1020 (2016; Zbl 1381.65055) Full Text: DOI arXiv
Noor, N. F. M.; Haq, Rizwan Ul; Abbasbandy, S.; Hashim, I. Heat flux performance in a porous medium embedded Maxwell fluid flow over a vertically stretched plate due to heat absorption. (English) Zbl 1342.35225 J. Nonlinear Sci. Appl. 9, No. 5, 2986-3001 (2016). MSC: 35Q30 76D10 80A20 76A05 76A10 65L06 65L10 PDFBibTeX XMLCite \textit{N. F. M. Noor} et al., J. Nonlinear Sci. Appl. 9, No. 5, 2986--3001 (2016; Zbl 1342.35225) Full Text: DOI Link
Hetmaniok, Edyta; Słota, Damian; Wituła, Roman; Zielonka, Adam Solution of the one-phase inverse Stefan problem by using the homotopy analysis method. (English) Zbl 1443.65272 Appl. Math. Modelling 39, No. 22, 6793-6805 (2015). MSC: 65M99 PDFBibTeX XMLCite \textit{E. Hetmaniok} et al., Appl. Math. Modelling 39, No. 22, 6793--6805 (2015; Zbl 1443.65272) Full Text: DOI
Cui, Jifeng; Xu, Hang; Lin, Zhiliang Homotopy analysis method for nonlinear periodic oscillating equations with absolute value term. (English) Zbl 1394.34033 Math. Probl. Eng. 2015, Article ID 132651, 7 p. (2015). MSC: 34A45 34E10 PDFBibTeX XMLCite \textit{J. Cui} et al., Math. Probl. Eng. 2015, Article ID 132651, 7 p. (2015; Zbl 1394.34033) Full Text: DOI
Sajid, M.; Arshad, Ambreen; Javed, T.; Abbas, Z. Stagnation point flow of Walters’ B fluid using hybrid homotopy analysis method. (English) Zbl 1391.76570 Arab. J. Sci. Eng. 40, No. 11, 3313-3319 (2015). MSC: 76M25 65L99 34B40 76A10 PDFBibTeX XMLCite \textit{M. Sajid} et al., Arab. J. Sci. Eng. 40, No. 11, 3313--3319 (2015; Zbl 1391.76570) Full Text: DOI
Hayat, T.; Ashraf, M. Bilal; Alsaedi, A.; Alhothuali, M. S. Soret and Dufour effects in three-dimensional flow of Maxwell fluid with chemical reaction and convective condition. (English) Zbl 1356.76232 Int. J. Numer. Methods Heat Fluid Flow 25, No. 1, 98-120 (2015). MSC: 76M25 76A05 76V05 65M99 PDFBibTeX XMLCite \textit{T. Hayat} et al., Int. J. Numer. Methods Heat Fluid Flow 25, No. 1, 98--120 (2015; Zbl 1356.76232) Full Text: DOI
Zou, Keguan; Nagarajaiah, Satish The solution structure of the Düffing oscillator’s transient response and general solution. (English) Zbl 1347.34056 Nonlinear Dyn. 81, No. 1-2, 621-639 (2015). MSC: 34C15 34D05 PDFBibTeX XMLCite \textit{K. Zou} and \textit{S. Nagarajaiah}, Nonlinear Dyn. 81, No. 1--2, 621--639 (2015; Zbl 1347.34056) Full Text: DOI
Saha Ray, S.; Sahoo, S. A comparative study on the analytic solutions of fractional coupled sine-Gordon equations by using two reliable methods. (English) Zbl 1338.35480 Appl. Math. Comput. 253, 72-82 (2015). MSC: 35R11 35C05 35C10 PDFBibTeX XMLCite \textit{S. Saha Ray} and \textit{S. Sahoo}, Appl. Math. Comput. 253, 72--82 (2015; Zbl 1338.35480) Full Text: DOI
Haussermann, John; Van Gorder, Robert A. Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations. (English) Zbl 1326.65171 Numer. Algorithms 70, No. 2, 227-248 (2015). MSC: 65N99 35J60 65N12 65N15 PDFBibTeX XMLCite \textit{J. Haussermann} and \textit{R. A. Van Gorder}, Numer. Algorithms 70, No. 2, 227--248 (2015; Zbl 1326.65171) Full Text: DOI
Xu, Dali; Cui, Jifeng; Liao, Shijun; Alsaedi, A. A HAM-based analytic approach for physical models with an infinite number of singularities. (English) Zbl 1314.65136 Numer. Algorithms 69, No. 1, 59-74 (2015). MSC: 65M99 35Q53 PDFBibTeX XMLCite \textit{D. Xu} et al., Numer. Algorithms 69, No. 1, 59--74 (2015; Zbl 1314.65136) Full Text: DOI
Van Gorder, Robert A. The variational iteration method is a special case of the homotopy analysis method. (English) Zbl 1325.65118 Appl. Math. Lett. 45, 81-85 (2015). MSC: 65L99 PDFBibTeX XMLCite \textit{R. A. Van Gorder}, Appl. Math. Lett. 45, 81--85 (2015; Zbl 1325.65118) Full Text: DOI
Babolian, E.; Jalili, M. Application of the homotopy-Padé technique in the prediction of optimal convergence-control parameter. (English) Zbl 1314.65091 Comput. Appl. Math. 34, No. 1, 375-388 (2015). MSC: 65L05 34A34 65L20 34A25 PDFBibTeX XMLCite \textit{E. Babolian} and \textit{M. Jalili}, Comput. Appl. Math. 34, No. 1, 375--388 (2015; Zbl 1314.65091) Full Text: DOI
Yu, Bo; Jiang, Xiaoyun; Xu, Huanying A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation. (English) Zbl 1314.65114 Numer. Algorithms 68, No. 4, 923-950 (2015). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M06 35K57 35R11 65M12 PDFBibTeX XMLCite \textit{B. Yu} et al., Numer. Algorithms 68, No. 4, 923--950 (2015; Zbl 1314.65114) Full Text: DOI
Costa, F. Silva; Marão, J. A. P. F.; Soares, J. C. Alves; de Oliveira, E. Capelas Similarity solution to fractional nonlinear space-time diffusion-wave equation. (English) Zbl 1507.35318 J. Math. Phys. 56, No. 3, 033507, 16 p. (2015). MSC: 35R11 35K55 35K57 60J60 26A33 PDFBibTeX XMLCite \textit{F. S. Costa} et al., J. Math. Phys. 56, No. 3, 033507, 16 p. (2015; Zbl 1507.35318) Full Text: DOI
Liang, Songxin; Liu, Sijia An open problem on the optimality of an asymptotic solution to Duffing’s nonlinear oscillation problem. (English) Zbl 1524.34134 Commun. Nonlinear Sci. Numer. Simul. 19, No. 12, 4189-4195 (2014). MSC: 34E05 34C15 34E10 34A45 PDFBibTeX XMLCite \textit{S. Liang} and \textit{S. Liu}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 12, 4189--4195 (2014; Zbl 1524.34134) Full Text: DOI
Zainal, Nor Hafizah; Kılıçman, Adem Solving fractional partial differential equations with corrected Fourier series method. (English) Zbl 1474.35678 Abstr. Appl. Anal. 2014, Article ID 958931, 5 p. (2014). MSC: 35R11 35C10 PDFBibTeX XMLCite \textit{N. H. Zainal} and \textit{A. Kılıçman}, Abstr. Appl. Anal. 2014, Article ID 958931, 5 p. (2014; Zbl 1474.35678) Full Text: DOI
Motsa, S. S. On the optimal auxiliary linear operator for the spectral homotopy analysis method solution of nonlinear ordinary differential equations. (English) Zbl 1407.65087 Math. Probl. Eng. 2014, Article ID 697845, 15 p. (2014). MSC: 65L99 34A45 PDFBibTeX XMLCite \textit{S. S. Motsa}, Math. Probl. Eng. 2014, Article ID 697845, 15 p. (2014; Zbl 1407.65087) Full Text: DOI
Nave, Ophir; Hareli, Shlomo; Gol’dshtein, Vladimir Singularly perturbed homotopy analysis method. (English) Zbl 1428.76171 Appl. Math. Modelling 38, No. 19-20, 4614-4624 (2014). MSC: 76M99 65L99 PDFBibTeX XMLCite \textit{O. Nave} et al., Appl. Math. Modelling 38, No. 19--20, 4614--4624 (2014; Zbl 1428.76171) Full Text: DOI
Kumar, Sunil; Rashidi, Mohammad Mehdi New analytical method for gas dynamics equation arising in shock fronts. (English) Zbl 1351.35253 Comput. Phys. Commun. 185, No. 7, 1947-1954 (2014). MSC: 35R11 35Q35 76N15 76M25 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{M. M. Rashidi}, Comput. Phys. Commun. 185, No. 7, 1947--1954 (2014; Zbl 1351.35253) Full Text: DOI
Liang, Songxin; Ma, Junchi Laplace transform for the solution of higher order deformation equations arising in the homotopy analysis method. (English) Zbl 1298.65108 Numer. Algorithms 67, No. 1, 49-57 (2014). MSC: 65L05 34A34 44A10 34A25 PDFBibTeX XMLCite \textit{S. Liang} and \textit{J. Ma}, Numer. Algorithms 67, No. 1, 49--57 (2014; Zbl 1298.65108) Full Text: DOI
Zhao, Yinlong; Liao, Shijun HAM-based Mathematica package BVPh 2.0 for nonlinear boundary value problems. (English) Zbl 1301.65082 Liao, Shijun (ed.), Advances in the homotopy analysis method. Hackensack, NJ: World Scientific (ISBN 978-981-4551-24-3/hbk; 978-981-4551-26-7/ebook). 361-417 (2014). MSC: 65L10 34B15 65Y15 65L15 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{S. Liao}, in: Advances in the homotopy analysis method. Hackensack, NJ: World Scientific. 361--417 (2014; Zbl 1301.65082)
Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem. (English) Zbl 1293.65137 Numer. Algorithms 66, No. 2, 269-298 (2014). MSC: 65M99 65M12 65K10 49J20 35Q35 PDFBibTeX XMLCite \textit{M. Baxter} et al., Numer. Algorithms 66, No. 2, 269--298 (2014; Zbl 1293.65137) Full Text: DOI
Liao, Shijun (ed.) Advances in the homotopy analysis method. (English) Zbl 1283.35003 Hackensack, NJ: World Scientific (ISBN 978-981-4551-24-3/hbk; 978-981-4551-26-7/ebook). viii, 417 p. (2014). MSC: 35-06 34-06 35A25 35Qxx 34D10 65L99 PDFBibTeX XMLCite \textit{S. Liao} (ed.), Advances in the homotopy analysis method. Hackensack, NJ: World Scientific (2014; Zbl 1283.35003)
Indira, K.; Rajendran, L. Analytical expressions for the concentrations of substrate, oxygen and mediator in an amperometric enzyme electrode. (English) Zbl 1438.92031 Appl. Math. Modelling 37, No. 7, 5343-5358 (2013). MSC: 92C47 92C45 34B60 34E10 PDFBibTeX XMLCite \textit{K. Indira} and \textit{L. Rajendran}, Appl. Math. Modelling 37, No. 7, 5343--5358 (2013; Zbl 1438.92031) Full Text: DOI
Zhao, Yinlong; Lin, Zhiliang; Liao, Shijun An iterative HAM approach for nonlinear boundary value problems in a semi-infinite domain. (English) Zbl 1344.65068 Comput. Phys. Commun. 184, No. 9, 2136-2144 (2013). MSC: 65L10 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Comput. Phys. Commun. 184, No. 9, 2136--2144 (2013; Zbl 1344.65068) Full Text: DOI
Russo, Matthew; Van Gorder, Robert A. Control of error in the homotopy analysis of nonlinear Klein-Gordon initial value problems. (English) Zbl 1286.65139 Appl. Math. Comput. 219, No. 12, 6494-6509 (2013). MSC: 65M99 65M15 35Q40 PDFBibTeX XMLCite \textit{M. Russo} and \textit{R. A. Van Gorder}, Appl. Math. Comput. 219, No. 12, 6494--6509 (2013; Zbl 1286.65139) Full Text: DOI
Abbasbandy, S.; Jalili, M. Determination of optimal convergence-control parameter value in homotopy analysis method. (English) Zbl 1283.65073 Numer. Algorithms 64, No. 4, 593-605 (2013). MSC: 65L10 34B15 65L20 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{M. Jalili}, Numer. Algorithms 64, No. 4, 593--605 (2013; Zbl 1283.65073) Full Text: DOI
Mallory, Kristina; Van Gorder, Robert A. Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation. (English) Zbl 1283.65090 Numer. Algorithms 64, No. 4, 633-657 (2013). MSC: 65M15 35Q82 65M70 65M12 PDFBibTeX XMLCite \textit{K. Mallory} and \textit{R. A. Van Gorder}, Numer. Algorithms 64, No. 4, 633--657 (2013; Zbl 1283.65090) Full Text: DOI
Liu, Y. P.; Liao, S. J.; Li, Z. B. Symbolic computation of strongly nonlinear periodic oscillations. (English) Zbl 1325.68292 J. Symb. Comput. 55, 72-95 (2013). MSC: 68W30 65L99 68T15 34C15 PDFBibTeX XMLCite \textit{Y. P. Liu} et al., J. Symb. Comput. 55, 72--95 (2013; Zbl 1325.68292) Full Text: DOI
Liu, Jincun; Li, Hong Approximate analytic solutions of time-fractional Hirota-Satsuma coupled KdV equation and coupled MKdV equation. (English) Zbl 1275.65069 Abstr. Appl. Anal. 2013, Article ID 561980, 11 p. (2013). MSC: 65M99 35Q53 35R11 35C10 PDFBibTeX XMLCite \textit{J. Liu} and \textit{H. Li}, Abstr. Appl. Anal. 2013, Article ID 561980, 11 p. (2013; Zbl 1275.65069) Full Text: DOI
Atangana, Abdon; Baleanu, Dumitru Nonlinear fractional Jaulent-Miodek and Whitham-Broer-Kaup equations within Sumudu transform. (English) Zbl 1275.65066 Abstr. Appl. Anal. 2013, Article ID 160681, 8 p. (2013). MSC: 65M99 35R11 44A10 PDFBibTeX XMLCite \textit{A. Atangana} and \textit{D. Baleanu}, Abstr. Appl. Anal. 2013, Article ID 160681, 8 p. (2013; Zbl 1275.65066) Full Text: DOI
Kurulay, Muhammet Solving the fractional nonlinear Klein-Gordon equation by means of the homotopy analysis method. (English) Zbl 1377.35270 Adv. Difference Equ. 2012, Paper No. 187, 8 p. (2012). MSC: 35R11 35G20 33E12 65M99 PDFBibTeX XMLCite \textit{M. Kurulay}, Adv. Difference Equ. 2012, Paper No. 187, 8 p. (2012; Zbl 1377.35270) Full Text: DOI
Secer, Aydin; Akinlar, Mehmet Ali; Cevikel, Adem Efficient solutions of systems of fractional PDEs by the differential transform method. (English) Zbl 1377.35279 Adv. Difference Equ. 2012, Paper No. 188, 7 p. (2012). MSC: 35R11 35A22 PDFBibTeX XMLCite \textit{A. Secer} et al., Adv. Difference Equ. 2012, Paper No. 188, 7 p. (2012; Zbl 1377.35279) Full Text: DOI
Fardi, Mojtaba; Kazemi, Ebrahim; Ezzati, Reza; Ghasemi, Mehdi Periodic solution for strongly nonlinear vibration systems by using the homotopy analysis method. (English) Zbl 1278.74186 Math. Sci., Springer 6, Paper No. 65, 5 p. (2012). MSC: 74S30 74H45 65M99 PDFBibTeX XMLCite \textit{M. Fardi} et al., Math. Sci., Springer 6, Paper No. 65, 5 p. (2012; Zbl 1278.74186) Full Text: DOI
Duan, Jun-Sheng; Chaolu, Temuer; Rach, Randolph Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the rach-Adomian-meyers modified decomposition method. (English) Zbl 1245.65087 Appl. Math. Comput. 218, No. 17, 8370-8392 (2012). MSC: 65L05 PDFBibTeX XMLCite \textit{J.-S. Duan} et al., Appl. Math. Comput. 218, No. 17, 8370--8392 (2012; Zbl 1245.65087) Full Text: DOI
El-Sayed, A. M. A.; Elsaid, A.; Hammad, D. A reliable treatment of homotopy perturbation method for solving the nonlinear Klein-Gordon equation of arbitrary (fractional) orders. (English) Zbl 1235.65148 J. Appl. Math. 2012, Article ID 581481, 13 p. (2012). MSC: 65N99 35Q53 PDFBibTeX XMLCite \textit{A. M. A. El-Sayed} et al., J. Appl. Math. 2012, Article ID 581481, 13 p. (2012; Zbl 1235.65148) Full Text: DOI
Liao, Shijun Homotopy analysis method in nonlinear differential equations. (English) Zbl 1253.35001 Berlin: Springer; Beijing: Higher Education Press (ISBN 978-3-642-25131-3/hbk; 978-7-04-032298-9/hbk; 978-3-642-25132-0/ebook). xv, 565 p. (2012). MSC: 35-02 35A25 35Q91 68W30 PDFBibTeX XMLCite \textit{S. Liao}, Homotopy analysis method in nonlinear differential equations. Berlin: Springer; Beijing: Higher Education Press (2012; Zbl 1253.35001) Full Text: DOI
Golbabai, A.; Sayevand, K. Analytical treatment of differential equations with fractional coordinate derivatives. (English) Zbl 1228.65200 Comput. Math. Appl. 62, No. 3, 1003-1012 (2011). MSC: 65M99 35R11 26A33 45K05 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{K. Sayevand}, Comput. Math. Appl. 62, No. 3, 1003--1012 (2011; Zbl 1228.65200) Full Text: DOI
Golbabai, A.; Sayevand, K. Analytical modelling of fractional advection-dispersion equation defined in a bounded space domain. (English) Zbl 1219.76035 Math. Comput. Modelling 53, No. 9-10, 1708-1718 (2011). MSC: 76M25 65M99 35R11 45K05 76S05 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{K. Sayevand}, Math. Comput. Modelling 53, No. 9--10, 1708--1718 (2011; Zbl 1219.76035) Full Text: DOI
Heibig, Arnaud; Palade, Liviu Iulian Well posedness of a linearized fractional derivative fluid model. (English) Zbl 1344.76010 J. Math. Anal. Appl. 380, No. 1, 188-203 (2011). MSC: 76A10 76D03 35Q35 35B30 35R11 PDFBibTeX XMLCite \textit{A. Heibig} and \textit{L. I. Palade}, J. Math. Anal. Appl. 380, No. 1, 188--203 (2011; Zbl 1344.76010) Full Text: DOI arXiv
Liu, Jincun; Hou, Guolin Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method. (English) Zbl 1213.65131 Appl. Math. Comput. 217, No. 16, 7001-7008 (2011). MSC: 65M70 35Q53 35R11 PDFBibTeX XMLCite \textit{J. Liu} and \textit{G. Hou}, Appl. Math. Comput. 217, No. 16, 7001--7008 (2011; Zbl 1213.65131) Full Text: DOI
You, Xiangcheng; Xu, Hang Analytical approximations for the periodic motion of the Duffing system with delayed feedback. (English) Zbl 1211.65094 Numer. Algorithms 56, No. 4, 561-576 (2011). MSC: 65L05 34K28 34K13 34K18 PDFBibTeX XMLCite \textit{X. You} and \textit{H. Xu}, Numer. Algorithms 56, No. 4, 561--576 (2011; Zbl 1211.65094) Full Text: DOI