Khaneh Masjedi, Pedram; Weaver, Paul M. Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method. (English) Zbl 1525.74073 Appl. Math. Modelling 103, 516-542 (2022). MSC: 74H10 74K10 74B20 PDFBibTeX XMLCite \textit{P. Khaneh Masjedi} and \textit{P. M. Weaver}, Appl. Math. Modelling 103, 516--542 (2022; Zbl 1525.74073) Full Text: DOI
Kaur, Ramandeep; Kapuria, Santosh Thermoelastic wave propagation in thin beams under thermal shock loading. (English) Zbl 1505.74117 Appl. Math. Modelling 105, 584-614 (2022). MSC: 74K10 74F05 74J40 PDFBibTeX XMLCite \textit{R. Kaur} and \textit{S. Kapuria}, Appl. Math. Modelling 105, 584--614 (2022; Zbl 1505.74117) Full Text: DOI
de Botton, Eva; Greenberg, J. Barry; Arad, Alumah; Katoshevski, David; Vaikuntanathan, Visakh; Ibach, Matthias; Weigand, Bernhard An investigation of grouping of two falling dissimilar droplets using the homotopy analysis method. (English) Zbl 1505.76017 Appl. Math. Modelling 104, 486-498 (2022). MSC: 76B47 PDFBibTeX XMLCite \textit{E. de Botton} et al., Appl. Math. Modelling 104, 486--498 (2022; Zbl 1505.76017) Full Text: DOI
Li, Jia-Xuan; Yan, Yan; Wang, Wen-Quan Time-delay feedback control of a cantilever beam with concentrated mass based on the homotopy analysis method. (English) Zbl 1503.93023 Appl. Math. Modelling 108, 629-645 (2022). MSC: 93B52 74K10 93C10 93C43 PDFBibTeX XMLCite \textit{J.-X. Li} et al., Appl. Math. Modelling 108, 629--645 (2022; Zbl 1503.93023) Full Text: DOI
Wu, Zhifeng; Huang, Bin; Chen, Hui; Zhang, Heng A new homotopy approach for stochastic static model updating with large uncertain measurement errors. (English) Zbl 1481.74716 Appl. Math. Modelling 98, 758-782 (2021). MSC: 74S60 62F15 62P30 65N30 PDFBibTeX XMLCite \textit{Z. Wu} et al., Appl. Math. Modelling 98, 758--782 (2021; Zbl 1481.74716) 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
Yu, Qiang; Xu, Hang; Liao, Shijun Nonlinear analysis for extreme large bending deflection of a rectangular plate on non-uniform elastic foundations. (English) Zbl 1460.74056 Appl. Math. Modelling 61, 316-340 (2018). MSC: 74K20 74S99 PDFBibTeX XMLCite \textit{Q. Yu} et al., Appl. Math. Modelling 61, 316--340 (2018; Zbl 1460.74056) Full Text: DOI
Mahmoudpour, E.; Hosseini-Hashemi, S. H.; Faghidian, S. A. Nonlinear vibration analysis of FG nano-beams resting on elastic foundation in thermal environment using stress-driven nonlocal integral model. (English) Zbl 1480.74118 Appl. Math. Modelling 57, 302-315 (2018). MSC: 74H45 74K10 PDFBibTeX XMLCite \textit{E. Mahmoudpour} et al., Appl. Math. Modelling 57, 302--315 (2018; Zbl 1480.74118) Full Text: DOI
Lee, Meng Koon; Hosseini Fouladi, Mohammad; Narayana Namasivayam, Satesh Natural frequencies of thin rectangular plates using homotopy-perturbation method. (English) Zbl 1476.74099 Appl. Math. Modelling 50, 524-543 (2017). MSC: 74K20 74H45 PDFBibTeX XMLCite \textit{M. K. Lee} et al., Appl. Math. Modelling 50, 524--543 (2017; Zbl 1476.74099) 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
Srivastava, H. M.; Kumar, Devendra; Singh, Jagdev An efficient analytical technique for fractional model of vibration equation. (English) Zbl 1446.74057 Appl. Math. Modelling 45, 192-204 (2017). MSC: 74-10 74S99 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Appl. Math. Modelling 45, 192--204 (2017; Zbl 1446.74057) Full Text: DOI
Askari, Amir R.; Tahani, Masoud; Moeenfard, Hamid A frequency criterion for doubly clamped beam-type N/MEMS subjected to the van der Waals attraction. (English) Zbl 1443.74017 Appl. Math. Modelling 41, 650-666 (2017). MSC: 74-10 74K10 PDFBibTeX XMLCite \textit{A. R. Askari} et al., Appl. Math. Modelling 41, 650--666 (2017; Zbl 1443.74017) Full Text: DOI
Filobello-Nino, U.; Vazquez-Leal, H.; Sarmiento-Reyes, A.; Cervantes-Perez, J.; Perez-Sesma, A.; Jimenez-Fernandez, V. M.; Pereyra-Diaz, D.; Huerta-Chua, J.; Morales-Mendoza, L. J.; Gonzalez-Lee, M.; Castro-Gonzalez, F. Laplace transform-homotopy perturbation method with arbitrary initial approximation and residual error cancelation. (English) Zbl 1443.65112 Appl. Math. Modelling 41, 180-194 (2017). MSC: 65L99 34A45 PDFBibTeX XMLCite \textit{U. Filobello-Nino} et al., Appl. Math. Modelling 41, 180--194 (2017; Zbl 1443.65112) Full Text: DOI
Ganjefar, Soheil; Rezaei, Sara Modified homotopy perturbation method for optimal control problems using the Padé approximant. (English) Zbl 1471.49019 Appl. Math. Modelling 40, No. 15-16, 7062-7081 (2016). MSC: 49M05 49K15 49L20 65L99 PDFBibTeX XMLCite \textit{S. Ganjefar} and \textit{S. Rezaei}, Appl. Math. Modelling 40, No. 15--16, 7062--7081 (2016; Zbl 1471.49019) Full Text: DOI
Sakar, Mehmet Giyas; Uludag, Fatih; Erdogan, Fevzi Numerical solution of time-fractional nonlinear PDEs with proportional delays by homotopy perturbation method. (English) Zbl 1465.65113 Appl. Math. Modelling 40, No. 13-14, 6639-6649 (2016). MSC: 65M99 35R11 PDFBibTeX XMLCite \textit{M. G. Sakar} et al., Appl. Math. Modelling 40, No. 13--14, 6639--6649 (2016; Zbl 1465.65113) Full Text: DOI
Charpentier, Isabelle; Lampoh, Komlanvi Sensitivity computations in higher order continuation methods. (English) Zbl 1452.35087 Appl. Math. Modelling 40, No. 4, 3365-3380 (2016). MSC: 35K91 35K20 65M06 65P30 PDFBibTeX XMLCite \textit{I. Charpentier} and \textit{K. Lampoh}, Appl. Math. Modelling 40, No. 4, 3365--3380 (2016; Zbl 1452.35087) Full Text: DOI
Liu, Q. X.; Liu, J. K.; Chen, Y. M. Asymptotic limit cycle of fractional van der Pol oscillator by homotopy analysis method and memory-free principle. (English) Zbl 1452.34071 Appl. Math. Modelling 40, No. 4, 3211-3220 (2016). MSC: 34K07 34K37 PDFBibTeX XMLCite \textit{Q. X. Liu} et al., Appl. Math. Modelling 40, No. 4, 3211--3220 (2016; Zbl 1452.34071) Full Text: DOI
Sayevand, K.; Jafari, H. On systems of nonlinear equations: some modified iteration formulas by the homotopy perturbation method with accelerated fourth- and fifth-order convergence. (English) Zbl 1446.65028 Appl. Math. Modelling 40, No. 2, 1467-1476 (2016). MSC: 65H10 PDFBibTeX XMLCite \textit{K. Sayevand} and \textit{H. Jafari}, Appl. Math. Modelling 40, No. 2, 1467--1476 (2016; Zbl 1446.65028) Full Text: DOI
Saravanakumar, K.; Rajendran, L. Mathematical analysis of an enzyme-entrapped conducting polymer modified electrode. (English) Zbl 1443.92032 Appl. Math. Modelling 39, No. 23-24, 7351-7363 (2015). MSC: 92-10 PDFBibTeX XMLCite \textit{K. Saravanakumar} and \textit{L. Rajendran}, Appl. Math. Modelling 39, No. 23--24, 7351--7363 (2015; Zbl 1443.92032) Full Text: DOI
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
Gupta, A. K.; Saha Ray, S. Numerical treatment for the solution of fractional fifth-order Sawada-Kotera equation using second kind Chebyshev wavelet method. (English) Zbl 1443.65244 Appl. Math. Modelling 39, No. 17, 5121-5130 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{A. K. Gupta} and \textit{S. Saha Ray}, Appl. Math. Modelling 39, No. 17, 5121--5130 (2015; Zbl 1443.65244) Full Text: DOI
Atangana, Abdon Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations. (English) Zbl 1443.65267 Appl. Math. Modelling 39, No. 10-11, 2909-2916 (2015). MSC: 65M99 92-08 PDFBibTeX XMLCite \textit{A. Atangana}, Appl. Math. Modelling 39, No. 10--11, 2909--2916 (2015; Zbl 1443.65267) Full Text: DOI
Yun, Yin-shan; Temuer, Chaolu Application of the homotopy perturbation method for the large deflection problem of a circular plate. (English) Zbl 1432.74213 Appl. Math. Modelling 39, No. 3-4, 1308-1316 (2015). MSC: 74S99 65L10 74K20 PDFBibTeX XMLCite \textit{Y.-s. Yun} and \textit{C. Temuer}, Appl. Math. Modelling 39, No. 3--4, 1308--1316 (2015; Zbl 1432.74213) Full Text: DOI
Biazar, Jafar; Asadi, Mohammad Ali; Salehi, Farideh Rational homotopy perturbation method for solving stiff systems of ordinary differential equations. (English) Zbl 1432.65115 Appl. Math. Modelling 39, No. 3-4, 1291-1299 (2015). MSC: 65L99 65L04 34A45 PDFBibTeX XMLCite \textit{J. Biazar} et al., Appl. Math. Modelling 39, No. 3--4, 1291--1299 (2015; Zbl 1432.65115) Full Text: DOI
Siddiqi, Shahid S.; Iftikhar, Muzammal Comparison of the Adomian decomposition method with homotopy perturbation method for the solutions of seventh order boundary value problems. (English) Zbl 1429.65176 Appl. Math. Modelling 38, No. 24, 6066-6074 (2014). MSC: 65L99 PDFBibTeX XMLCite \textit{S. S. Siddiqi} and \textit{M. Iftikhar}, Appl. Math. Modelling 38, No. 24, 6066--6074 (2014; Zbl 1429.65176) Full Text: DOI
Zhang, Xindong; Zhao, Jianping; Liu, Juan; Tang, Bo Homotopy perturbation method for two dimensional time-fractional wave equation. (English) Zbl 1429.65266 Appl. Math. Modelling 38, No. 23, 5545-5552 (2014). MSC: 65M99 35R11 PDFBibTeX XMLCite \textit{X. Zhang} et al., Appl. Math. Modelling 38, No. 23, 5545--5552 (2014; Zbl 1429.65266) 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 A new analytical modelling for fractional telegraph equation via Laplace transform. (English) Zbl 1427.35327 Appl. Math. Modelling 38, No. 13, 3154-3163 (2014). MSC: 35R11 65M99 PDFBibTeX XMLCite \textit{S. Kumar}, Appl. Math. Modelling 38, No. 13, 3154--3163 (2014; Zbl 1427.35327) Full Text: DOI
Saberi Najafi, H.; Edalatpanah, S. A. Homotopy perturbation method for linear programming problems. (English) Zbl 1427.65095 Appl. Math. Modelling 38, No. 5-6, 1607-1611 (2014). MSC: 65K05 65L99 90C05 PDFBibTeX XMLCite \textit{H. Saberi Najafi} and \textit{S. A. Edalatpanah}, Appl. Math. Modelling 38, No. 5--6, 1607--1611 (2014; Zbl 1427.65095) Full Text: DOI
Maleki, Mohammad; Tonekaboni, Seyed Ali Madani; Abbasbandy, Saeid A homotopy analysis solution to large deformation of beams under static arbitrary distributed load. (English) Zbl 1427.74180 Appl. Math. Modelling 38, No. 1, 355-368 (2014). MSC: 74S99 74K10 74B10 PDFBibTeX XMLCite \textit{M. Maleki} et al., Appl. Math. Modelling 38, No. 1, 355--368 (2014; Zbl 1427.74180) Full Text: DOI
Shamsyeh Zahedi, Moosarreza; Saberi Nik, Hassan On homotopy analysis method applied to linear optimal control problems. (English) Zbl 1427.49035 Appl. Math. Modelling 37, No. 23, 9617-9629 (2013). MSC: 49M20 65L99 49N05 PDFBibTeX XMLCite \textit{M. Shamsyeh Zahedi} and \textit{H. Saberi Nik}, Appl. Math. Modelling 37, No. 23, 9617--9629 (2013; Zbl 1427.49035) Full Text: DOI
Sakar, Mehmet Giyas; Erdogan, Fevzi The homotopy analysis method for solving the time-fractional Fornberg-Whitham equation and comparison with Adomian’s decomposition method. (English) Zbl 1427.65323 Appl. Math. Modelling 37, No. 20-21, 8876-8885 (2013). MSC: 65M99 35R11 35Q53 PDFBibTeX XMLCite \textit{M. G. Sakar} and \textit{F. Erdogan}, Appl. Math. Modelling 37, No. 20--21, 8876--8885 (2013; Zbl 1427.65323) Full Text: DOI
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
Rajeev; Kushwaha, M. S. Homotopy perturbation method for a limit case Stefan problem governed by fractional diffusion equation. (English) Zbl 1352.65414 Appl. Math. Modelling 37, No. 5, 3589-3599 (2013). MSC: 65M99 80A22 35R11 35Q79 PDFBibTeX XMLCite \textit{Rajeev} and \textit{M. S. Kushwaha}, Appl. Math. Modelling 37, No. 5, 3589--3599 (2013; Zbl 1352.65414) Full Text: DOI
Arafa, A. A. M.; Rida, S. Z.; Khalil, M. The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model. (English) Zbl 1349.92135 Appl. Math. Modelling 37, No. 4, 2189-2196 (2013). MSC: 92D30 34A08 92D25 34A45 PDFBibTeX XMLCite \textit{A. A. M. Arafa} et al., Appl. Math. Modelling 37, No. 4, 2189--2196 (2013; Zbl 1349.92135) Full Text: DOI
Aminikhah, Hossein An analytical approximation for coupled viscous Burgers’ equation. (English) Zbl 1283.35106 Appl. Math. Modelling 37, No. 8, 5979-5983 (2013). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q53 44A10 PDFBibTeX XMLCite \textit{H. Aminikhah}, Appl. Math. Modelling 37, No. 8, 5979--5983 (2013; Zbl 1283.35106) Full Text: DOI Link
Lei, Jing; Liu, Shi Inversion algorithm based on the generalized objective functional for compressed sensing. (English) Zbl 1307.94016 Appl. Math. Modelling 37, No. 6, 4407-4429 (2013). MSC: 94A12 94A08 65J22 65K10 PDFBibTeX XMLCite \textit{J. Lei} and \textit{S. Liu}, Appl. Math. Modelling 37, No. 6, 4407--4429 (2013; Zbl 1307.94016) Full Text: DOI Link
Martin, Olga On the homotopy analysis method for solving a particle transport equation. (English) Zbl 1272.65102 Appl. Math. Modelling 37, No. 6, 3959-3967 (2013). MSC: 65R20 45K05 82D75 PDFBibTeX XMLCite \textit{O. Martin}, Appl. Math. Modelling 37, No. 6, 3959--3967 (2013; Zbl 1272.65102) Full Text: DOI Link
Elsayed, Assma F. Comparison between variational iteration method and homotopy perturbation method for thermal diffusion and diffusion thermo effects of thixotropic fluid through biological tissues with laser radiation existence. (English) Zbl 1270.76091 Appl. Math. Modelling 37, No. 6, 3660-3673 (2013). MSC: 76Z05 92C35 PDFBibTeX XMLCite \textit{A. F. Elsayed}, Appl. Math. Modelling 37, No. 6, 3660--3673 (2013; Zbl 1270.76091) Full Text: DOI Link
Nik, Hassan Saberi; Effati, Sohrab; Shirazian, M. An approximate-analytical solution for the Hamilton-Jacobi-Bellman equation via homotopy perturbation method. (English) Zbl 1254.65107 Appl. Math. Modelling 36, No. 11, 5614-5623 (2012). MSC: 65M60 35Q93 49L20 PDFBibTeX XMLCite \textit{H. S. Nik} et al., Appl. Math. Modelling 36, No. 11, 5614--5623 (2012; Zbl 1254.65107) Full Text: DOI
Arafa, A. A. M.; Rida, Saad Zagloul; Mohamed, H. Approximate analytical solutions of Schnakenberg systems by homotopy analysis method. (English) Zbl 1252.65173 Appl. Math. Modelling 36, No. 10, 4789-4796 (2012). MSC: 65M70 35R11 92C42 PDFBibTeX XMLCite \textit{A. A. M. Arafa} et al., Appl. Math. Modelling 36, No. 10, 4789--4796 (2012; Zbl 1252.65173) Full Text: DOI
Sayevand, Khosro; Golbabai, Ahmad; Yildirim, Ahmet Analysis of differential equations of fractional order. (English) Zbl 1252.34007 Appl. Math. Modelling 36, No. 9, 4356-4364 (2012). MSC: 34A08 34A45 PDFBibTeX XMLCite \textit{K. Sayevand} et al., Appl. Math. Modelling 36, No. 9, 4356--4364 (2012; Zbl 1252.34007) Full Text: DOI
Aminikhah, Hossein The combined Laplace transform and new homotopy perturbation methods for stiff systems of ODEs. (English) Zbl 1252.34018 Appl. Math. Modelling 36, No. 8, 3638-3644 (2012). MSC: 34A45 34A25 PDFBibTeX XMLCite \textit{H. Aminikhah}, Appl. Math. Modelling 36, No. 8, 3638--3644 (2012; Zbl 1252.34018) Full Text: DOI
Vishal, K.; Kumar, Sunil; Das, Subir Application of homotopy analysis method for fractional Swift Hohenberg equation – revisited. (English) Zbl 1252.65179 Appl. Math. Modelling 36, No. 8, 3630-3637 (2012). MSC: 65M99 35C10 35R11 PDFBibTeX XMLCite \textit{K. Vishal} et al., Appl. Math. Modelling 36, No. 8, 3630--3637 (2012; Zbl 1252.65179) Full Text: DOI
Xinhui, Si; Liancun, Zheng; Xinxin, Zhang; Xinyi, Si Homotopy analysis method for the asymmetric laminar flow and heat transfer of viscous fluid between contracting rotating disks. (English) Zbl 1243.76077 Appl. Math. Modelling 36, No. 4, 1806-1820 (2012). MSC: 76M25 76D05 76U05 PDFBibTeX XMLCite \textit{S. Xinhui} et al., Appl. Math. Modelling 36, No. 4, 1806--1820 (2012; Zbl 1243.76077) Full Text: DOI
Xinhui, Si; Liancun, Zheng; Xinxin, Zhang; Jianhong, Yang Homotopy analysis method for the heat transfer in a asymmetric porous channel with an expanding or contracting wall. (English) Zbl 1225.76224 Appl. Math. Modelling 35, No. 9, 4321-4329 (2011). MSC: 76M25 76S05 65L99 74F05 80A20 PDFBibTeX XMLCite \textit{S. Xinhui} et al., Appl. Math. Modelling 35, No. 9, 4321--4329 (2011; Zbl 1225.76224) Full Text: DOI
Roul, Pradip; Meyer, Peter Numerical solutions of systems of nonlinear integro-differential equations by homotopy-perturbation method. (English) Zbl 1225.65081 Appl. Math. Modelling 35, No. 9, 4234-4242 (2011). MSC: 65L99 34E10 45J05 PDFBibTeX XMLCite \textit{P. Roul} and \textit{P. Meyer}, Appl. Math. Modelling 35, No. 9, 4234--4242 (2011; Zbl 1225.65081) Full Text: DOI
Das, S.; Gupta, P. K.; Ghosh, P. An approximate solution of nonlinear fractional reaction-diffusion equation. (English) Zbl 1221.35436 Appl. Math. Modelling 35, No. 8, 4071-4076 (2011). MSC: 35R11 26A33 35K57 45K05 65M99 PDFBibTeX XMLCite \textit{S. Das} et al., Appl. Math. Modelling 35, No. 8, 4071--4076 (2011; Zbl 1221.35436) Full Text: DOI
Turkyilmazoglu, M. Analytic approximate solutions of parameterized unperturbed and singularly perturbed boundary value problems. (English) Zbl 1221.34058 Appl. Math. Modelling 35, No. 8, 3879-3886 (2011). MSC: 34B15 34E10 PDFBibTeX XMLCite \textit{M. Turkyilmazoglu}, Appl. Math. Modelling 35, No. 8, 3879--3886 (2011; Zbl 1221.34058) Full Text: DOI Link
Lei, Jing; Liu, Shi; Li, Zhihong; Sun, Meng; Wang, Xueyao A multi-scale image reconstruction algorithm for electrical capacitance tomography. (English) Zbl 1219.78124 Appl. Math. Modelling 35, No. 6, 2585-2606 (2011). MSC: 78A70 94A08 94-04 35J25 35R30 65J20 65T60 94A11 PDFBibTeX XMLCite \textit{J. Lei} et al., Appl. Math. Modelling 35, No. 6, 2585--2606 (2011; Zbl 1219.78124) Full Text: DOI
Singh, Jitendra; Gupta, Praveen Kumar; Rai, K. N.; Cims-Dst Homotopy perturbation method to space-time fractional solidification in a finite slab. (English) Zbl 1217.80153 Appl. Math. Modelling 35, No. 4, 1937-1945 (2011). MSC: 80M25 80A22 26A33 74N25 PDFBibTeX XMLCite \textit{J. Singh} et al., Appl. Math. Modelling 35, No. 4, 1937--1945 (2011; Zbl 1217.80153) Full Text: DOI
Ganjiani, Mehdi Solution of nonlinear fractional differential equations using homotopy analysis method. (English) Zbl 1193.65147 Appl. Math. Modelling 34, No. 6, 1634-1641 (2010). MSC: 65L99 35R11 26A33 PDFBibTeX XMLCite \textit{M. Ganjiani}, Appl. Math. Modelling 34, No. 6, 1634--1641 (2010; Zbl 1193.65147) Full Text: DOI
Mojahedi, M.; Zand, M. Moghimi; Ahmadian, M. T. Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method. (English) Zbl 1185.74032 Appl. Math. Modelling 34, No. 4, 1032-1041 (2010). MSC: 74K10 65M99 74H10 74M25 PDFBibTeX XMLCite \textit{M. Mojahedi} et al., Appl. Math. Modelling 34, No. 4, 1032--1041 (2010; Zbl 1185.74032) Full Text: DOI
Odibat, Zaid; Momani, Shaher; Xu, Hang A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. (English) Zbl 1185.65139 Appl. Math. Modelling 34, No. 3, 593-600 (2010). MSC: 65L99 26A33 34A08 PDFBibTeX XMLCite \textit{Z. Odibat} et al., Appl. Math. Modelling 34, No. 3, 593--600 (2010; Zbl 1185.65139) Full Text: DOI
Zurigat, Mohammad; Momani, Shaher; Odibat, Zaid; Alawneh, Ahmad The homotopy analysis method for handling systems of fractional differential equations. (English) Zbl 1185.65140 Appl. Math. Modelling 34, No. 1, 24-35 (2010). MSC: 65L99 34A08 PDFBibTeX XMLCite \textit{M. Zurigat} et al., Appl. Math. Modelling 34, No. 1, 24--35 (2010; Zbl 1185.65140) Full Text: DOI
Ganji, Z. Z.; Ganji, D. D.; Rostamiyan, Y. Solitary wave solutions for a time-fraction generalized hirota-satsuma coupled KdV equation by an analytical technique. (English) Zbl 1205.35251 Appl. Math. Modelling 33, No. 7, 3107-3113 (2009). MSC: 35Q53 26A33 35Q51 PDFBibTeX XMLCite \textit{Z. Z. Ganji} et al., Appl. Math. Modelling 33, No. 7, 3107--3113 (2009; Zbl 1205.35251) Full Text: DOI
Abbasbandy, S. Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method. (English) Zbl 1167.35395 Appl. Math. Modelling 32, No. 12, 2706-2714 (2008). MSC: 35K57 35Q51 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Appl. Math. Modelling 32, No. 12, 2706--2714 (2008; Zbl 1167.35395) Full Text: DOI
Xu, Hang; You, Xiang-Cheng; Pop, Ioan Analytical approximation for laminar film condensation of saturated stream on an isothermal vertical plate. (English) Zbl 1187.74062 Appl. Math. Modelling 32, No. 5, 738-748 (2008). Reviewer: B. S. Bhatt (St. Augustine) MSC: 74F10 80A20 76D10 74F05 PDFBibTeX XMLCite \textit{H. Xu} et al., Appl. Math. Modelling 32, No. 5, 738--748 (2008; Zbl 1187.74062) Full Text: DOI
Hayat, T.; Shahzad, F.; Ayub, M. Analytical solution for the steady flow of the third-grade fluid in a porous half-space. (English) Zbl 1117.76059 Appl. Math. Modelling 31, No. 11, 2424-2432 (2007). MSC: 76S05 76A05 PDFBibTeX XMLCite \textit{T. Hayat} et al., Appl. Math. Modelling 31, No. 11, 2424--2432 (2007; Zbl 1117.76059) Full Text: DOI
Milman, Mark; Petrick, Walt A note on the solution to a common thermal network problem encountered in heat-transfer analysis of spacecraft. (English) Zbl 0989.80028 Appl. Math. Modelling 24, No. 12, 861-879 (2000). MSC: 80M25 80A20 65H20 PDFBibTeX XMLCite \textit{M. Milman} and \textit{W. Petrick}, Appl. Math. Modelling 24, No. 12, 861--879 (2000; Zbl 0989.80028) Full Text: DOI