Patil, Sumit J.; Kashyap, Anisha R. V.; Kolwankar, Kiran M. Homotopy analysis method for oscillatory systems with cubic and trigonometric non-linearity. (English) Zbl 07332000 Mukherjee, Shaibal (ed.) et al., Computational mathematics, nanoelectronics, and astrophysics. Selected papers based on the presentations at the international conference, CMNA 2018, Indore, India, November 1–3, 2018. Singapore: Springer (ISBN 978-981-15-9707-7/hbk; 978-981-15-9708-4/ebook). Springer Proceedings in Mathematics & Statistics 342, 25-45 (2021). MSC: 65 82 85 PDF BibTeX XML Cite \textit{S. J. Patil} et al., in: Computational mathematics, nanoelectronics, and astrophysics. Selected papers based on the presentations at the international conference, CMNA 2018, Indore, India, November 1--3, 2018. Singapore: Springer. 25--45 (2021; Zbl 07332000) Full Text: DOI
Yang, Shuquan; Jia, Zhaoli; Wu, Qianqian; Wu, Huojun Homotopy analysis method for portfolio optimization problem under the 3/2 model. (English) Zbl 07331603 J. Syst. Sci. Complex. 34, No. 3, 1087-1101 (2021). MSC: 91G10 55P99 91G80 PDF BibTeX XML Cite \textit{S. Yang} et al., J. Syst. Sci. Complex. 34, No. 3, 1087--1101 (2021; Zbl 07331603) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Hammouch, Zakia An efficient approach for the model of thrombin receptor activation mechanism with Mittag-Leffler function. (English) Zbl 07326306 Hammouch, Zakia (ed.) et al., Nonlinear analysis: problems, applications and computational methods. Proceedings of the 6th international congress of the Moroccan Society of Applied Mathematics, Beni-Mellal, Morocco, November 7–9, 2019. Cham: Springer (ISBN 978-3-030-62298-5/pbk; 978-3-030-62299-2/ebook). Lecture Notes in Networks and Systems 168, 44-60 (2021). MSC: 34C60 92C37 34A08 47N20 34A45 PDF BibTeX XML Cite \textit{P. Veeresha} et al., Lect. Notes Netw. Syst. 168, 44--60 (2021; Zbl 07326306) Full Text: DOI
Senol, Mehmet; Akinyemi, Lanre; Ata, Ayşe; Iyiola, Olaniyi S. Approximate and generalized solutions of conformable type Coudrey-Dodd-Gibbon-Sawada-Kotera equation. (English) Zbl 1455.35228 Int. J. Mod. Phys. B 35, No. 2, Article ID 2150021, 17 p. (2021). MSC: 35Q53 35R11 35A25 PDF BibTeX XML Cite \textit{M. Senol} et al., Int. J. Mod. Phys. B 35, No. 2, Article ID 2150021, 17 p. (2021; Zbl 1455.35228) Full Text: DOI
Hayat, T.; Haider, F.; Muhammad, T.; Alsaedi, A. Darcy-Forchheimer flow by rotating disk with partial slip. (English) Zbl 07328251 AMM, Appl. Math. Mech., Engl. Ed. 41, No. 5, 741-752 (2020). MSC: 76S05 PDF BibTeX XML Cite \textit{T. Hayat} et al., AMM, Appl. Math. Mech., Engl. Ed. 41, No. 5, 741--752 (2020; Zbl 07328251) Full Text: DOI
Khan, M.; Ahmed, A.; Ahmed, J. Transient flow of magnetized Maxwell nanofluid: Buongiorno model perspective of Cattaneo-Christov theory. (English) Zbl 07328245 AMM, Appl. Math. Mech., Engl. Ed. 41, No. 4, 655-666 (2020). MSC: 76A10 76D10 76M55 PDF BibTeX XML Cite \textit{M. Khan} et al., AMM, Appl. Math. Mech., Engl. Ed. 41, No. 4, 655--666 (2020; Zbl 07328245) Full Text: DOI
Ray, Atul Kumar; Vasu, B.; Murthy, P. V. S. N.; Gorla, Rama S. R. Non-similar solution of Eyring-Powell fluid flow and heat transfer with convective boundary condition: homotopy analysis method. (English) Zbl 07322681 Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 16, 22 p. (2020). MSC: 80A19 76A05 80M99 PDF BibTeX XML Cite \textit{A. K. Ray} et al., Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 16, 22 p. (2020; Zbl 07322681) Full Text: DOI
Omari, Derar; Alomari, A. K.; Mansour, Ammar; Bawaneh, Alaa; Mansour, Awad Analytical solution of the non-linear Michaelis-Menten pharmacokinetics equation. (English) Zbl 07322675 Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 10, 9 p. (2020). MSC: 65 35 PDF BibTeX XML Cite \textit{D. Omari} et al., Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 10, 9 p. (2020; Zbl 07322675) Full Text: DOI
Akinyemi, Lanre; Huseen, Shaheed N. A powerful approach to study the new modified coupled Korteweg-de Vries system. (English) Zbl 07318116 Math. Comput. Simul. 177, 556-567 (2020). MSC: 35R 35A PDF BibTeX XML Cite \textit{L. Akinyemi} and \textit{S. N. Huseen}, Math. Comput. Simul. 177, 556--567 (2020; Zbl 07318116) Full Text: DOI
Naik, Parvaiz Ahmad; Zu, Jian; Ghoreishi, Mohammad Stability analysis and approximate solution of SIR epidemic model with Crowley-Martin type functional response and Holling type-II treatment rate by using homotopy analysis method. (English) Zbl 1455.34039 J. Appl. Anal. Comput. 10, No. 4, 1482-1515 (2020). MSC: 34C23 34C60 34D23 92D30 34D20 PDF BibTeX XML Cite \textit{P. A. Naik} et al., J. Appl. Anal. Comput. 10, No. 4, 1482--1515 (2020; Zbl 1455.34039) Full Text: DOI
Sidorov, Nikolaĭ Aleksandrovich The role of a priori estimates in the method of non-local continuation of solution by parameter. (Russian. English summary) Zbl 07311846 Izv. Irkutsk. Gos. Univ., Ser. Mat. 34, 67-76 (2020). MSC: 47H99 PDF BibTeX XML Cite \textit{N. A. Sidorov}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 34, 67--76 (2020; Zbl 07311846) Full Text: DOI Link
Abolvafaei, Mahnaz; Ganjefar, Soheil Integer-fractional decomposition and stability analysis of fractional-order nonlinear dynamic systems using homotopy singular perturbation method. (English) Zbl 07308356 Math. Control Signals Syst. 32, No. 4, 517-542 (2020). MSC: 93D05 93C15 26A33 93C70 93C10 PDF BibTeX XML Cite \textit{M. Abolvafaei} and \textit{S. Ganjefar}, Math. Control Signals Syst. 32, No. 4, 517--542 (2020; Zbl 07308356) Full Text: DOI
Prakasha, Doddabhadrappla Gowda; Malagi, Naveen Sanju; Veeresha, Pundikala New approach for fractional Schrödinger-Boussinesq equations with Mittag-Leffler kernel. (English) Zbl 1455.35293 Math. Methods Appl. Sci. 43, No. 17, 9654-9670 (2020). MSC: 35R11 35G55 35Q55 PDF BibTeX XML Cite \textit{D. G. Prakasha} et al., Math. Methods Appl. Sci. 43, No. 17, 9654--9670 (2020; Zbl 1455.35293) Full Text: DOI
Mishra, Hradyesh Kumar; Tripathi, Rajnee Homotopy perturbation method of delay differential equation using He’s polynomial with Laplace transform. (English) Zbl 07291452 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 289-298 (2020). MSC: 34K05 34K07 44A10 PDF BibTeX XML Cite \textit{H. K. Mishra} and \textit{R. Tripathi}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 289--298 (2020; Zbl 07291452) Full Text: DOI
Sharma, Ram Prakash; Jain, Madhu; Kumar, Devendra Analytical solution of exothermic reactions model with constant heat source and porous medium. (English) Zbl 07291446 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 239-243 (2020). Reviewer: Aleksey Syromyasov (Saransk) MSC: 80A19 80A21 44A10 35K05 80M99 PDF BibTeX XML Cite \textit{R. P. Sharma} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 239--243 (2020; Zbl 07291446) 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 PDF BibTeX XML Cite \textit{M. Sacramento} et al., Springer Proc. Math. Stat. 333, 497--516 (2020; Zbl 1454.65054) Full Text: DOI
Tong, Shanshan; Han, Bo; Tang, Jinping A projective averaged Kaczmarz iteration for nonlinear ill-posed problems. (English) Zbl 1451.65068 Inverse Probl. 36, No. 9, Article ID 095012, 23 p. (2020). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J15 65J20 47J06 65N20 PDF BibTeX XML Cite \textit{S. Tong} et al., Inverse Probl. 36, No. 9, Article ID 095012, 23 p. (2020; Zbl 1451.65068) Full Text: DOI
Veeresha, Pundikala; Prakasha, Doddabhadrappla Gowda; Baskonus, Haci Mehmet; Yel, Gulnur An efficient analytical approach for fractional Lakshmanan-Porsezian-Daniel model. (English) Zbl 1454.35352 Math. Methods Appl. Sci. 43, No. 7, 4136-4155 (2020). MSC: 35Q55 44A10 65M99 35R11 PDF BibTeX XML Cite \textit{P. Veeresha} et al., Math. Methods Appl. Sci. 43, No. 7, 4136--4155 (2020; Zbl 1454.35352) Full Text: DOI
Akinyemi, Lanre; Iyiola, Olaniyi S.; Akpan, Udoh Iterative methods for solving fourth- and sixth-order time-fractional Cahn-Hilliard equation. (Iterative methods for solving fourth- and sixth-order time-fractional Cahn-Hillard equation.) (English) Zbl 1447.65109 Math. Methods Appl. Sci. 43, No. 7, 4050-4074 (2020). MSC: 65M99 65M12 65M15 35R11 26A33 35Q35 PDF BibTeX XML Cite \textit{L. Akinyemi} et al., Math. Methods Appl. Sci. 43, No. 7, 4050--4074 (2020; Zbl 1447.65109) Full Text: DOI
Veeresha, Pundikala; Prakasha, Doddabhadrappla Gowda; Baleanu, Dumitru Analysis of fractional Swift-Hohenberg equation using a novel computational technique. (English) Zbl 1446.35256 Math. Methods Appl. Sci. 43, No. 4, 1970-1987 (2020). MSC: 35R11 26A33 41A58 PDF BibTeX XML Cite \textit{P. Veeresha} et al., Math. Methods Appl. Sci. 43, No. 4, 1970--1987 (2020; Zbl 1446.35256) Full Text: DOI
Bhattacharyya, A.; Seth, G. S.; Kumar, R. Modeling of viscoelastic fluid flow past a non-linearly stretching surface with convective heat transfer: OHAM analysis. (English) Zbl 1441.80007 Manna, Santanu (ed.) et al., Mathematical modelling and scientific computing with applications. Proceedings of the international conference, ICMMSC 2018, Indore, India, July 19–21, 2018. Singapore: Springer. Springer Proc. Math. Stat. 308, 297-312 (2020). MSC: 80A21 80A19 76A10 76W05 76M99 PDF BibTeX XML Cite \textit{A. Bhattacharyya} et al., Springer Proc. Math. Stat. 308, 297--312 (2020; Zbl 1441.80007) Full Text: DOI
Akinyemi, Lanre A fractional analysis of Noyes-Field model for the nonlinear Belousov-Zhabotinsky reaction. (English) Zbl 07213932 Comput. Appl. Math. 39, No. 3, Paper No. 175, 34 p. (2020). MSC: 35Q92 35R11 PDF BibTeX XML Cite \textit{L. Akinyemi}, Comput. Appl. Math. 39, No. 3, Paper No. 175, 34 p. (2020; Zbl 07213932) Full Text: DOI
Singh, Jagdev; Kumar, Devendra; Kumar, Sunil An efficient computational method for local fractional transport equation occurring in fractal porous media. (English) Zbl 07208215 Comput. Appl. Math. 39, No. 3, Paper No. 137, 10 p. (2020). MSC: 76S05 26A33 35R11 35Q99 PDF BibTeX XML Cite \textit{J. Singh} et al., Comput. Appl. Math. 39, No. 3, Paper No. 137, 10 p. (2020; Zbl 07208215) Full Text: DOI
Srivastava, H. M.; Jena, Rajarama Mohan; Chakraverty, Snehashish; Jena, Subrat Kumar Dynamic response analysis of fractionally-damped generalized Bagley-Torvik equation subject to external loads. (English) Zbl 1440.65272 Russ. J. Math. Phys. 27, No. 2, 254-268 (2020). MSC: 65N99 26A33 35R11 74F10 74K20 35Q74 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Russ. J. Math. Phys. 27, No. 2, 254--268 (2020; Zbl 1440.65272) Full Text: DOI
Ramos, Higinio; Rufai, M. A. Numerical solution of boundary value problems by using an optimized two-step block method. (English) Zbl 1440.65075 Numer. Algorithms 84, No. 1, 229-251 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L10 65L05 65L20 PDF BibTeX XML Cite \textit{H. Ramos} and \textit{M. A. Rufai}, Numer. Algorithms 84, No. 1, 229--251 (2020; Zbl 1440.65075) Full Text: DOI
Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Taneco-Hernández, Marco Antonio Mathematical modeling approach to the fractional Bergman’s model. (English) Zbl 1442.34084 Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 805-821 (2020). MSC: 34C60 92C50 34A08 44A10 34A25 PDF BibTeX XML Cite \textit{V. F. Morales-Delgado} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 805--821 (2020; Zbl 1442.34084) Full Text: DOI
Zhang, Guoqi; Wu, Zhiqiang Approximate limit cycles of coupled nonlinear oscillators with fractional derivatives. (English) Zbl 07193029 Appl. Math. Modelling 77, Part 2, 1294-1309 (2020). MSC: 34 65 PDF BibTeX XML Cite \textit{G. Zhang} and \textit{Z. Wu}, Appl. Math. Modelling 77, Part 2, 1294--1309 (2020; Zbl 07193029) Full Text: DOI
Odibat, Zaid An improved optimal homotopy analysis algorithm for nonlinear differential equations. (English) Zbl 1436.65154 J. Math. Anal. Appl. 488, No. 2, Article ID 124089, 13 p. (2020). MSC: 65M99 65M12 35F20 35Q92 PDF BibTeX XML Cite \textit{Z. Odibat}, J. Math. Anal. Appl. 488, No. 2, Article ID 124089, 13 p. (2020; Zbl 1436.65154) Full Text: DOI
Saratha, S. R.; Bagyalakshmi, M.; Sai Sundara Krishnan, G. Fractional generalised homotopy analysis method for solving nonlinear fractional differential equations. (English) Zbl 1449.65293 Comput. Appl. Math. 39, No. 2, Paper No. 112, 32 p. (2020). MSC: 65M99 35R11 34A08 34A25 35C10 35G31 PDF BibTeX XML Cite \textit{S. R. Saratha} et al., Comput. Appl. Math. 39, No. 2, Paper No. 112, 32 p. (2020; Zbl 1449.65293) Full Text: DOI
Dubey, Ved Prakash; Kumar, Rajnesh; Kumar, Devendra Numerical solution of time-fractional three-species food chain model arising in the realm of mathematical ecology. (English) Zbl 1443.92192 Int. J. Biomath. 13, No. 2, Article ID 2050011, 22 p. (2020). MSC: 92D40 26A33 65R99 PDF BibTeX XML Cite \textit{V. P. Dubey} et al., Int. J. Biomath. 13, No. 2, Article ID 2050011, 22 p. (2020; Zbl 1443.92192) Full Text: DOI
Li, Yongqiang; Zhou, Mao; Wang, Tao; Zhang, Yingjie Nonlinear primary resonance with \(1:3:6\) internal resonances of the symmetric rectangular honeycomb sandwich panels. (English) Zbl 07173569 Eur. J. Mech., A, Solids 80, Article ID 103908, 13 p. (2020). MSC: 74 PDF BibTeX XML Cite \textit{Y. Li} et al., Eur. J. Mech., A, Solids 80, Article ID 103908, 13 p. (2020; Zbl 07173569) Full Text: DOI
Abedin-Nasab, Mohammad H.; Bastawrous, Mary V.; Hussein, Mahmoud I. Explicit dispersion relation for strongly nonlinear flexural waves using the homotopy analysis method. (English) Zbl 1430.74078 Nonlinear Dyn. 99, No. 1, 737-752 (2020). MSC: 74K10 74J30 PDF BibTeX XML Cite \textit{M. H. Abedin-Nasab} et al., Nonlinear Dyn. 99, No. 1, 737--752 (2020; Zbl 1430.74078) Full Text: DOI
Rashidi, Saeede; Hejazi, Seyed Reza Self-adjointness, conservation laws and invariant solutions of the Buckmaster equation. (English) Zbl 1449.58003 Comput. Methods Differ. Equ. 8, No. 1, 85-98 (2020). MSC: 58D19 58J70 76M60 70S10 70H33 PDF BibTeX XML Cite \textit{S. Rashidi} and \textit{S. R. Hejazi}, Comput. Methods Differ. Equ. 8, No. 1, 85--98 (2020; Zbl 1449.58003) Full Text: DOI
Saha Ray, Santanu Nonlinear differential equations in physics. Novel methods for finding solutions. (English) Zbl 1445.35010 Singapore: Springer (ISBN 978-981-15-1655-9/hbk; 978-981-15-1656-6/ebook). xxxi, 388 p. (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35-02 34-02 65-02 35R11 35C05 PDF BibTeX XML Cite \textit{S. Saha Ray}, Nonlinear differential equations in physics. Novel methods for finding solutions. Singapore: Springer (2020; Zbl 1445.35010) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Kumar, Devendra An efficient technique for nonlinear time-fractional Klein-Fock-Gordon equation. (English) Zbl 1433.35454 Appl. Math. Comput. 364, Article ID 124637, 15 p. (2020). MSC: 35R11 35Q53 PDF BibTeX XML Cite \textit{P. Veeresha} et al., Appl. Math. Comput. 364, Article ID 124637, 15 p. (2020; Zbl 1433.35454) Full Text: DOI
Veeresha, P.; Prakasha, D. G. A novel technique for \((2 + 1)\)-dimensional time-fractional coupled Burgers equations. (English) Zbl 07316775 Math. Comput. Simul. 166, 324-345 (2019). MSC: 92C 26A 37N PDF BibTeX XML Cite \textit{P. Veeresha} and \textit{D. G. Prakasha}, Math. Comput. Simul. 166, 324--345 (2019; Zbl 07316775) Full Text: DOI
Shukla, Anant Kant; Ramamohan, T. R.; Srinivas, S. Analytical solutions to nonlinear problems by the generalised form of HAM: a note. (English) Zbl 1453.65205 Int. J. Comput. Sci. Math. 10, No. 2, 160-173 (2019). MSC: 65L99 PDF BibTeX XML Cite \textit{A. K. Shukla} et al., Int. J. Comput. Sci. Math. 10, No. 2, 160--173 (2019; Zbl 1453.65205) Full Text: DOI
Cullen, Andrew C.; Clarke, Simon R. A fast, spectrally accurate homotopy based numerical method for solving nonlinear differential equations. (English) Zbl 1451.65094 J. Comput. Phys. 385, 106-118 (2019). MSC: 65L10 65L99 34B15 PDF BibTeX XML Cite \textit{A. C. Cullen} and \textit{S. R. Clarke}, J. Comput. Phys. 385, 106--118 (2019; Zbl 1451.65094) 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 PDF BibTeX XML Cite \textit{G. Zhang} and \textit{Z. Wu}, Chaos Solitons Fractals 127, 342--353 (2019; Zbl 1448.34077) Full Text: DOI
Abdulghani, Mohammed; Hamoud, Ahmed; Ghadle, Kirtiwant The effective modification of some analytical techniques for Fredholm integro-differential equations. (English) Zbl 07273160 Bull. Int. Math. Virtual Inst. 9, No. 2, 345-353 (2019). MSC: 47G20 65H20 PDF BibTeX XML Cite \textit{M. Abdulghani} et al., Bull. Int. Math. Virtual Inst. 9, No. 2, 345--353 (2019; Zbl 07273160) Full Text: DOI
Shafeeurrahman, Md.; Srinivasacharya, D. Radiation effect on mixed convection flow of nanofluid between two concentric cylinders with Hall and ion-slip effects. (English) Zbl 1441.76116 Appl. Appl. Math., Spec. Iss. 4, 82-96 (2019). MSC: 76R10 76D05 74F05 76S05 14F35 PDF BibTeX XML Cite \textit{Md. Shafeeurrahman} and \textit{D. Srinivasacharya}, Appl. Appl. Math. , 82--96 (2019; Zbl 1441.76116) Full Text: Link
Dutta, Ajoy; Gupta, Praveen Kumar Approximate analytical solution of a HIV/AIDS dynamic model during primary infection. (English) Zbl 1447.92417 Kumar, B. Rushi (ed.) et al., Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1–3, 2017. Volume II. Selected papers. Cham: Birkhäuser. Trends Math., 237-244 (2019). MSC: 92D30 PDF BibTeX XML Cite \textit{A. Dutta} and \textit{P. K. Gupta}, in: Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1--3, 2017. Volume II. Selected papers. Cham: Birkhäuser. 237--244 (2019; Zbl 1447.92417) Full Text: DOI
Bhuvaneswari, M.; Sivasankaran, S.; Niranjan, H.; Eswaramoorthi, S. Cross diffusion effects on MHD convection of Casson-Williamson fluid over a stretching surface with radiation and chemical reaction. (English) Zbl 1445.80004 Kumar, B. Rushi (ed.) et al., Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1–3, 2017. Volume II. Selected papers. Cham: Birkhäuser. Trends Math., 139-146 (2019). MSC: 80A21 80A19 80A32 76V05 76W05 76A05 76M55 65L99 PDF BibTeX XML Cite \textit{M. Bhuvaneswari} et al., in: Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1--3, 2017. Volume II. Selected papers. Cham: Birkhäuser. 139--146 (2019; Zbl 1445.80004) Full Text: DOI
Das, Abhijit; Sahoo, Bikash An analytic solution of the unsteady flow between two coaxial rotating disks. (English) Zbl 1446.76173 Kumar, B. Rushi (ed.) et al., Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1–3, 2017. Volume II. Selected papers. Cham: Birkhäuser. Trends Math., 129-138 (2019). MSC: 76U05 76D05 76M45 76M55 PDF BibTeX XML Cite \textit{A. Das} and \textit{B. Sahoo}, in: Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1--3, 2017. Volume II. Selected papers. Cham: Birkhäuser. 129--138 (2019; Zbl 1446.76173) Full Text: DOI
Jagan, K.; Sivasankaran, S.; Bhuvaneswari, M.; Rajan, S. Effect of non-linear radiation on 3D unsteady MHD nanoliquid flow over a stretching surface with double stratification. (English) Zbl 1445.76096 Kumar, B. Rushi (ed.) et al., Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1–3, 2017. Volume II. Selected papers. Cham: Birkhäuser. Trends Math., 109-116 (2019). MSC: 76W05 76S05 76A05 80A21 PDF BibTeX XML Cite \textit{K. Jagan} et al., in: Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1--3, 2017. Volume II. Selected papers. Cham: Birkhäuser. 109--116 (2019; Zbl 1445.76096) Full Text: DOI
Liu, Tianbao; Qin, Xiwen; Li, Qiuyue An optimal fourth-order family of modified Cauchy methods for finding solutions of nonlinear equations and their dynamical behavior. (English) Zbl 1442.65089 Open Math. 17, 1567-1598 (2019). Reviewer: Anton Iliev (Plovdiv) MSC: 65H05 37N30 65H20 41A21 PDF BibTeX XML Cite \textit{T. Liu} et al., Open Math. 17, 1567--1598 (2019; Zbl 1442.65089) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Baskonus, Haci Mehmet Solving smoking epidemic model of fractional order using a modified homotopy analysis transform method. (English) Zbl 1452.92043 Math. Sci., Springer 13, No. 2, 115-128 (2019). MSC: 92D30 PDF BibTeX XML Cite \textit{P. Veeresha} et al., Math. Sci., Springer 13, No. 2, 115--128 (2019; Zbl 1452.92043) 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 PDF BibTeX XML Cite \textit{M. Alipour} et al., Numer. Algebra Control Optim. 9, No. 4, 493--506 (2019; Zbl 1439.49041) Full Text: DOI
Lin, Xin; Huang, Yixin; Zhao, Yang; Wang, Tianshu Large deformation analysis of a cantilever beam made of axially functionally graded material by homotopy analysis method. (English) Zbl 1431.74067 AMM, Appl. Math. Mech., Engl. Ed. 40, No. 10, 1375-1386 (2019). MSC: 74K10 74G10 74E30 PDF BibTeX XML Cite \textit{X. Lin} et al., AMM, Appl. Math. Mech., Engl. Ed. 40, No. 10, 1375--1386 (2019; Zbl 1431.74067) Full Text: DOI
Saad, Khaled M.; Srivastava, H. M.; Kumar, Devendra A reliable analytical algorithm for cubic isothermal auto-catalytic chemical system. (English) Zbl 1429.65265 Singh, Jagdev (ed.) et al., Mathematical modelling, applied analysis and computation. Selected papers of the first international conference, ICMMAAC 2018, JECRC University, Jaipur, India, July 6–8, 2018. Singapore: Springer. Springer Proc. Math. Stat. 272, 243-260 (2019). MSC: 65M99 35Q92 92-08 92E99 PDF BibTeX XML Cite \textit{K. M. Saad} et al., Springer Proc. Math. Stat. 272, 243--260 (2019; Zbl 1429.65265) Full Text: DOI
Luo, Jiongxing Homotopy analysis solution for solving boundary value problems on the second order nonlinear differential equation. (Chinese. English summary) Zbl 1449.34054 Math. Pract. Theory 49, No. 9, 253-263 (2019). MSC: 34A45 34B15 34A25 PDF BibTeX XML Cite \textit{J. Luo}, Math. Pract. Theory 49, No. 9, 253--263 (2019; Zbl 1449.34054)
Hamoud, Ahmed A.; Ghadle, Kirtiwant P.; Pathade, Priyanka A. An existence and convergence results for Caputo fractional Volterra integro-differential equations. (English) Zbl 07144123 Jordan J. Math. Stat. 12, No. 3, 307-327 (2019). MSC: 45J05 65H20 PDF BibTeX XML Cite \textit{A. A. Hamoud} et al., Jordan J. Math. Stat. 12, No. 3, 307--327 (2019; Zbl 07144123) Full Text: Link
Zuriqat, M. Exact solution for the fractional partial differential equation by homo separation analysis method. (English) Zbl 1438.35288 Afr. Mat. 30, No. 7-8, 1133-1143 (2019). MSC: 35M11 PDF BibTeX XML Cite \textit{M. Zuriqat}, Afr. Mat. 30, No. 7--8, 1133--1143 (2019; Zbl 1438.35288) Full Text: DOI
Hamoud, Ahmed A.; Hussain, Khawlah H.; Mohammed, Nedal M.; Ghadle, Kirtiwant P. Solving Fredholm integro-differential equations by using numerical techniques. (English) Zbl 07132873 Nonlinear Funct. Anal. Appl. 24, No. 3, 533-542 (2019). MSC: 47G20 65H20 65M55 PDF BibTeX XML Cite \textit{A. A. Hamoud} et al., Nonlinear Funct. Anal. Appl. 24, No. 3, 533--542 (2019; Zbl 07132873) Full Text: Link
Pichi, Federico; Rozza, Gianluigi Reduced basis approaches for parametrized bifurcation problems held by non-linear von Kármán equations. (English) Zbl 1427.35275 J. Sci. Comput. 81, No. 1, 112-135 (2019). MSC: 35Q74 35J60 65N25 74S05 74G60 65H20 65K05 65-02 65H10 65H17 65N30 35P05 35B32 PDF BibTeX XML Cite \textit{F. Pichi} and \textit{G. Rozza}, J. Sci. Comput. 81, No. 1, 112--135 (2019; Zbl 1427.35275) Full Text: DOI arXiv
Chang, Jen-Yi; Tsai, Chia-Cheng; Young, D. L. Homotopy method of fundamental solutions for solving nonlinear heat conduction problems. (English) Zbl 07127460 Eng. Anal. Bound. Elem. 108, 179-191 (2019). MSC: 65 35 PDF BibTeX XML Cite \textit{J.-Y. Chang} et al., Eng. Anal. Bound. Elem. 108, 179--191 (2019; Zbl 07127460) Full Text: DOI
Akinyemi, Lanre q-homotopy analysis method for solving the seventh-order time-fractional Lax’s Korteweg-de Vries and Sawada-Kotera equations. (English) Zbl 1449.35427 Comput. Appl. Math. 38, No. 4, Paper No. 191, 22 p. (2019). MSC: 35R11 26A33 35Q53 PDF BibTeX XML Cite \textit{L. Akinyemi}, Comput. Appl. Math. 38, No. 4, Paper No. 191, 22 p. (2019; Zbl 1449.35427) Full Text: DOI
Shan, Li; Feng, Sijia Optimal homotopy asymptotic method with application to the Burgers equation. (Chinese. English summary) Zbl 1438.65268 Numer. Math., Nanjing 41, No. 1, 45-53 (2019). MSC: 65M99 35Q53 PDF BibTeX XML Cite \textit{L. Shan} and \textit{S. Feng}, Numer. Math., Nanjing 41, No. 1, 45--53 (2019; Zbl 1438.65268)
Zhong, Xiaoxu; Sun, Bohua; Liao, Shijun Analytic solutions of the rise dynamics of liquid in a vertical cylindrical capillary. (English) Zbl 07109806 Eur. J. Mech., B, Fluids 78, 1-10 (2019). MSC: 76 PDF BibTeX XML Cite \textit{X. Zhong} et al., Eur. J. Mech., B, Fluids 78, 1--10 (2019; Zbl 07109806) Full Text: DOI
Nemrat, Asem Al; Zainuddin, Zarita Solving two point boundary value problems by modified Sumudu transform homotopy perturbation method. (English) Zbl 1420.60062 Aust. J. Math. Anal. Appl. 16, No. 2, Article No. 5, 17 p. (2019). MSC: 60H05 60H10 60H20 PDF BibTeX XML Cite \textit{A. A. Nemrat} and \textit{Z. Zainuddin}, Aust. J. Math. Anal. Appl. 16, No. 2, Article No. 5, 17 p. (2019; Zbl 1420.60062) Full Text: Link
Kumar, Ajay; Singh, Abhishek Kumar; Rajeev A phase change problem including space-dependent latent heat and periodic heat flux. (English) Zbl 1430.80009 Nonlinear Dyn. Syst. Theory 19, No. 1, Spec. Iss., 178-185 (2019). MSC: 80A22 35R37 35R35 80A19 80M99 PDF BibTeX XML Cite \textit{A. Kumar} et al., Nonlinear Dyn. Syst. Theory 19, No. 1, 178--185 (2019; Zbl 1430.80009)
Kurt, Ali; Tasbozan, Orkun Approximate analytical solutions to conformable modified Burgers equation using homotopy analysis method. (English) Zbl 1420.35058 Ann. Math. Sil. 33, 159-167 (2019). MSC: 35C05 35R11 35Q53 PDF BibTeX XML Cite \textit{A. Kurt} and \textit{O. Tasbozan}, Ann. Math. Sil. 33, 159--167 (2019; Zbl 1420.35058) Full Text: DOI
Maitama, Shehu; Zhao, Weidong Local fractional Laplace homotopy analysis method for solving non-differentiable wave equations on Cantor sets. (English) Zbl 07101287 Comput. Appl. Math. 38, No. 2, Paper No. 65, 22 p. (2019). MSC: 65M99 26A33 PDF BibTeX XML Cite \textit{S. Maitama} and \textit{W. Zhao}, Comput. Appl. Math. 38, No. 2, Paper No. 65, 22 p. (2019; Zbl 07101287) Full Text: DOI
Shah, Kunjan; Singh, Twinkle Modified approach to solve nonlinear equation arising in infiltration phenomenon. (English) Zbl 1453.76189 S\(\vec{\text{e}}\)MA J. 76, No. 1, 79-95 (2019). MSC: 76M99 65M99 76S05 PDF BibTeX XML Cite \textit{K. Shah} and \textit{T. Singh}, S\(\vec{\text{e}}\)MA J. 76, No. 1, 79--95 (2019; Zbl 1453.76189) Full Text: DOI
Saad, Khaled Mohammed; Al-Sharif, Eman Hussain Faissal Comparative study of a cubic autocatalytic reaction via different analysis methods. (English) Zbl 1447.35362 Discrete Contin. Dyn. Syst., Ser. S 12, No. 3, 665-684 (2019). MSC: 35R11 35A22 PDF BibTeX XML Cite \textit{K. M. Saad} and \textit{E. H. F. Al-Sharif}, Discrete Contin. Dyn. Syst., Ser. S 12, No. 3, 665--684 (2019; Zbl 1447.35362) Full Text: DOI
Shamseldeen, S.; Elsaid, A.; Madkour, S. Caputo-Riesz-Feller fractional wave equation: analytic and approximate solutions and their continuation. (English) Zbl 1418.35366 J. Appl. Math. Comput. 59, No. 1-2, 423-444 (2019). MSC: 35R11 35C20 PDF BibTeX XML Cite \textit{S. Shamseldeen} et al., J. Appl. Math. Comput. 59, No. 1--2, 423--444 (2019; Zbl 1418.35366) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Qurashi, M. A.; Baleanu, D. A reliable technique for fractional modified Boussinesq and approximate long wave equations. (English) Zbl 07078729 Adv. Difference Equ. 2019, Paper No. 253, 23 p. (2019). MSC: 39 34 PDF BibTeX XML Cite \textit{P. Veeresha} et al., Adv. Difference Equ. 2019, Paper No. 253, 23 p. (2019; Zbl 07078729) Full Text: DOI
Rana, Jyotirmoy; Liao, Shijun A general analytical approach to study solute dispersion in non-Newtonian fluid flow. (English) Zbl 07076127 Eur. J. Mech., B, Fluids 77, 183-200 (2019). MSC: 76 PDF BibTeX XML Cite \textit{J. Rana} and \textit{S. Liao}, Eur. J. Mech., B, Fluids 77, 183--200 (2019; Zbl 07076127) Full Text: DOI
Arafa, Anas. A. M.; Hagag, Ahmed. M. Sh. \(Q\)-homotopy analysis transform method applied to fractional Kundu-Eckhaus equation and fractional massive Thirring model arising in quantum field theory. (English) Zbl 1419.35198 Asian-Eur. J. Math. 12, No. 3, Article ID 1950045, 11 p. (2019). MSC: 35R11 35C10 35Q40 PDF BibTeX XML Cite \textit{Anas. A. M. Arafa} and \textit{Ahmed. M. Sh. Hagag}, Asian-Eur. J. Math. 12, No. 3, Article ID 1950045, 11 p. (2019; Zbl 1419.35198) Full Text: DOI
Demir, Ali; Bayrak, Mine Aylin; Ozbilge, Ebru A new approach for the approximate analytical solution of space-time fractional differential equations by the homotopy analysis method. (English) Zbl 1419.65088 Adv. Math. Phys. 2019, Article ID 5602565, 12 p. (2019). MSC: 65M99 35R11 PDF BibTeX XML Cite \textit{A. Demir} et al., Adv. Math. Phys. 2019, Article ID 5602565, 12 p. (2019; Zbl 1419.65088) Full Text: DOI
Barde, Aminu; Maan, Normah Efficient analytical approach for nonlinear system of delay differential equations. (English) Zbl 1415.65146 Int. J. Math. Comput. Sci. 14, No. 3, 693-712 (2019). MSC: 65L03 34K99 PDF BibTeX XML Cite \textit{A. Barde} and \textit{N. Maan}, Int. J. Math. Comput. Sci. 14, No. 3, 693--712 (2019; Zbl 1415.65146) Full Text: Link
Kumbhakar, Manotosh; Ghoshal, Koeli; Singh, Vijay P. Application of relative entropy theory to streamwise velocity profile in open-channel flow: effect of prior probability distributions. (English) Zbl 1415.82006 Z. Angew. Math. Phys. 70, No. 3, Paper No. 80, 21 p. (2019). MSC: 82B31 62B10 PDF BibTeX XML Cite \textit{M. Kumbhakar} et al., Z. Angew. Math. Phys. 70, No. 3, Paper No. 80, 21 p. (2019; Zbl 1415.82006) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Baskonus, Haci Mehmet Novel simulations to the time-fractional Fisher’s equation. (English) Zbl 1452.65296 Math. Sci., Springer 13, No. 1, 33-42 (2019). MSC: 65M99 35Q53 35R11 PDF BibTeX XML Cite \textit{P. Veeresha} et al., Math. Sci., Springer 13, No. 1, 33--42 (2019; Zbl 1452.65296) Full Text: DOI
Roul, Pradip; Madduri, Harshita An optimal iterative algorithm for solving Bratu-type problems. (English) Zbl 1433.65097 J. Math. Chem. 57, No. 2, 583-598 (2019). MSC: 65H20 65L20 65L80 65L10 PDF BibTeX XML Cite \textit{P. Roul} and \textit{H. Madduri}, J. Math. Chem. 57, No. 2, 583--598 (2019; Zbl 1433.65097) Full Text: DOI
Madduri, Harshita; Roul, Pradip A fast-converging iterative scheme for solving a system of Lane-Emden equations arising in catalytic diffusion reactions. (English) Zbl 1414.92236 J. Math. Chem. 57, No. 2, 570-582 (2019). MSC: 92E20 65L10 34B16 PDF BibTeX XML Cite \textit{H. Madduri} and \textit{P. Roul}, J. Math. Chem. 57, No. 2, 570--582 (2019; Zbl 1414.92236) Full Text: DOI
Noeiaghdam, Samad; Fariborzi Araghi, Mohammad Ali; Abbasbandy, Saeid Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic. (English) Zbl 1412.65244 Numer. Algorithms 81, No. 1, 237-267 (2019). MSC: 65R20 65G99 PDF BibTeX XML Cite \textit{S. Noeiaghdam} et al., Numer. Algorithms 81, No. 1, 237--267 (2019; Zbl 1412.65244) 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 PDF BibTeX XML Cite \textit{R. A. Van Gorder}, Numer. Algorithms 81, No. 1, 181--196 (2019; Zbl 1416.65251) Full Text: DOI
Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Saad, Khaled; Escobar Jiménez, Ricardo Fabricio Application of the Caputo-Fabrizio and Atangana-Baleanu fractional derivatives to mathematical model of cancer chemotherapy effect. (English) Zbl 1419.92009 Math. Methods Appl. Sci. 42, No. 4, 1167-1193 (2019). Reviewer: Kai Diethelm (Schweinfurt) MSC: 92C50 26A33 PDF BibTeX XML Cite \textit{V. F. Morales-Delgado} et al., Math. Methods Appl. Sci. 42, No. 4, 1167--1193 (2019; Zbl 1419.92009) Full Text: DOI
Maitama, Shehu; Zhao, Weidong Local fractional homotopy analysis method for solving non-differentiable problems on Cantor sets. (English) Zbl 07048539 Adv. Difference Equ. 2019, Paper No. 127, 22 p. (2019). MSC: 34K50 34A12 34A30 34D20 PDF BibTeX XML Cite \textit{S. Maitama} and \textit{W. Zhao}, Adv. Difference Equ. 2019, Paper No. 127, 22 p. (2019; Zbl 07048539) Full Text: DOI
Jangili, Srinivas; Adesanya, Samuel Olumide; Ogunseye, Hammed Abiodun; Lebelo, Ramoshweu Couple stress fluid flow with variable properties: a second law analysis. (English) Zbl 1407.76003 Math. Methods Appl. Sci. 42, No. 1, 85-98 (2019). MSC: 76A05 35Q79 80A20 PDF BibTeX XML Cite \textit{S. Jangili} et al., Math. Methods Appl. Sci. 42, No. 1, 85--98 (2019; Zbl 1407.76003) Full Text: DOI
Odibat, Zaid On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations. (English) Zbl 1409.65040 Appl. Numer. Math. 137, 203-212 (2019). MSC: 65L03 26A33 65H20 PDF BibTeX XML Cite \textit{Z. Odibat}, Appl. Numer. Math. 137, 203--212 (2019; Zbl 1409.65040) Full Text: DOI
Roul, Pradip; Madduri, Harshita; Kassner, Klaus A new iterative algorithm for a strongly nonlinear singular boundary value problem. (English) Zbl 07007564 J. Comput. Appl. Math. 351, 167-178 (2019). MSC: 76M99 76W05 PDF BibTeX XML Cite \textit{P. Roul} et al., J. Comput. Appl. Math. 351, 167--178 (2019; Zbl 07007564) 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 PDF BibTeX XML Cite \textit{H. Yépez-Martínez} and \textit{J. F. Gómez-Aguilar}, J. Comput. Appl. Math. 346, 247--260 (2019; Zbl 1402.26005) Full Text: DOI
Saberirad, F.; Karbassi, Seyed Mehdi; Heydari, Mohammad Mehdi; Hosseini, Mohamad Mehdi Application of homotopy perturbation method for solving hybrid fuzzy differential equations. (English) Zbl 07312762 J. Math. Ext. 12, No. 1, 113-145 (2018). MSC: 34A07 34A38 34A45 47N20 PDF BibTeX XML Cite \textit{F. Saberirad} et al., J. Math. Ext. 12, No. 1, 113--145 (2018; Zbl 07312762) Full Text: Link
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 07166733 Appl. Math. Modelling 57, 302-315 (2018). MSC: 74 35 PDF BibTeX XML Cite \textit{E. Mahmoudpour} et al., Appl. Math. Modelling 57, 302--315 (2018; Zbl 07166733) Full Text: DOI
Dewasurendra, Mangalagama; Baxter, Mathew; Vajravelu, Kuppalapalle A method of directly defining the inverse mapping for solutions of non-linear coupled systems arising in convection heat transfer in a second grade fluid. (English) Zbl 1429.76031 Appl. Math. Comput. 339, 758-767 (2018). MSC: 76A05 35Q79 35R30 80A19 PDF BibTeX XML Cite \textit{M. Dewasurendra} et al., Appl. Math. Comput. 339, 758--767 (2018; Zbl 1429.76031) Full Text: DOI
Saad, K. M.; Iyiola, O. S.; Agarwal, P. An effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical system. (English) Zbl 1427.35277 AIMS Math. 3, No. 1, 183-194 (2018). MSC: 35Q79 80A32 80M99 65N99 65N15 65N12 PDF BibTeX XML Cite \textit{K. M. Saad} et al., AIMS Math. 3, No. 1, 183--194 (2018; Zbl 1427.35277) Full Text: DOI
Hamoud, Ahmed A.; Issa, M. Sh. Bani; Ghadle, Kirtiwant P.; Abdulghani, Mohammed Existence and convergence results for Caputo fractional Volterra integro-differential equations. (English) Zbl 1420.65136 J. Math. Appl. 41, 109-122 (2018). MSC: 65R20 45D05 34A08 45J05 PDF BibTeX XML Cite \textit{A. A. Hamoud} et al., J. Math. Appl. 41, 109--122 (2018; Zbl 1420.65136) Full Text: DOI
Zuriqat, M. The homo separation analysis method for solving the partial differential equation. (English) Zbl 1416.35018 Ital. J. Pure Appl. Math. 40, 535-543 (2018). MSC: 35A25 35G25 35Q91 PDF BibTeX XML Cite \textit{M. Zuriqat}, Ital. J. Pure Appl. Math. 40, 535--543 (2018; Zbl 1416.35018) Full Text: Link
Tran-Dinh, Quoc; Cevher, Volkan Smoothing alternating direction methods for fully nonsmooth constrained convex optimization. (English) Zbl 1423.90187 Giselsson, Pontus (ed.) et al., Large-scale and distributed optimization. Contributions of the workshop, Lund, Sweden, June 14–16, 2017. Cham: Springer. Lect. Notes Math. 2227, 57-95 (2018). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 90C25 90C08 PDF BibTeX XML Cite \textit{Q. Tran-Dinh} and \textit{V. Cevher}, Lect. Notes Math. 2227, 57--95 (2018; Zbl 1423.90187) Full Text: DOI
Singh, Randhir Optimal homotopy analysis method for the non-isothermal reaction-diffusion model equations in a spherical catalyst. (English) Zbl 1410.92182 J. Math. Chem. 56, No. 9, 2579-2590 (2018). MSC: 92E20 92C45 PDF BibTeX XML Cite \textit{R. Singh}, J. Math. Chem. 56, No. 9, 2579--2590 (2018; Zbl 1410.92182) Full Text: DOI
Dai, Yu; Shen, Ming; Chen, Hui Non-similarity solutions of stagnation-point flow over a nonlinear stretching sheet embedded in a porous medium. (Chinese. English summary) Zbl 1424.76015 J. Fuzhou Univ., Nat. Sci. 46, No. 3, 311-316 (2018). MSC: 76D10 76S05 PDF BibTeX XML Cite \textit{Y. Dai} et al., J. Fuzhou Univ., Nat. Sci. 46, No. 3, 311--316 (2018; Zbl 1424.76015) Full Text: DOI
Fariborzi Araghi, Mohammad Ali; Noeiaghdam, Samad Homotopy regularization method to solve the singular Volterra integral equations of the first kind. (English) Zbl 1407.65324 Jordan J. Math. Stat. 11, No. 1, 1-12 (2018). MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{M. A. Fariborzi Araghi} and \textit{S. Noeiaghdam}, Jordan J. Math. Stat. 11, No. 1, 1--12 (2018; Zbl 1407.65324) Full Text: Link
Hamoud, Ahmed A.; Ghadle, Kirtiwant P. A study of some reliable methods for solving fuzzy Volterra-Fredholm integral equations. (English) Zbl 1424.65250 Acta Univ. Apulensis, Math. Inform. 53, 65-92 (2018). MSC: 65R20 34K07 34K36 45B05 45D05 PDF BibTeX XML Cite \textit{A. A. Hamoud} and \textit{K. P. Ghadle}, Acta Univ. Apulensis, Math. Inform. 53, 65--92 (2018; Zbl 1424.65250) Full Text: DOI
Hamoud, Ahmed A.; Ghadle, Kirtiwant P. Usage of the homotopy analysis method for solving fractional Volterra-Fredholm integro-differential equation of the second kind. (English) Zbl 1415.65285 Tamkang J. Math. 49, No. 4, 301-315 (2018). MSC: 65R20 45D05 45B05 45J05 34A08 PDF BibTeX XML Cite \textit{A. A. Hamoud} and \textit{K. P. Ghadle}, Tamkang J. Math. 49, No. 4, 301--315 (2018; Zbl 1415.65285) Full Text: DOI
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru On the analysis of fractional diabetes model with exponential law. (English) Zbl 1446.34018 Adv. Difference Equ. 2018, Paper No. 231, 15 p. (2018). MSC: 34A08 26A33 92C50 34A25 34A45 34A34 PDF BibTeX XML Cite \textit{J. Singh} et al., Adv. Difference Equ. 2018, Paper No. 231, 15 p. (2018; Zbl 1446.34018) Full Text: DOI
Darzi, R.; Agheli, B. Analytical approach to solving fractional partial differential equation by optimal q-homotopy analysis method. (Russian, English) Zbl 1413.35437 Sib. Zh. Vychisl. Mat. 21, No. 2, 171-183 (2018); translation in Numer. Analysis Appl. 11, No. 2, 134-145 (2018). MSC: 35R11 PDF BibTeX XML Cite \textit{R. Darzi} and \textit{B. Agheli}, Sib. Zh. Vychisl. Mat. 21, No. 2, 171--183 (2018; Zbl 1413.35437); translation in Numer. Analysis Appl. 11, No. 2, 134--145 (2018) Full Text: DOI
Saad, Khaled M.; Baleanu, Dumitru; Atangana, Abdon New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations. (New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burger’s equations.) (English) Zbl 1432.35229 Comput. Appl. Math. 37, No. 4, 5203-5216 (2018). MSC: 35R11 35Q53 PDF BibTeX XML Cite \textit{K. M. Saad} et al., Comput. Appl. Math. 37, No. 4, 5203--5216 (2018; Zbl 1432.35229) Full Text: DOI
Noeiaghdam, Samad; Suleman, Muhammad; Budak, Hüseyin Solving a modified nonlinear epidemiological model of computer viruses by homotopy analysis method. (English) Zbl 1417.92193 Math. Sci., Springer 12, No. 3, 211-222 (2018). MSC: 92D30 68M10 PDF BibTeX XML Cite \textit{S. Noeiaghdam} et al., Math. Sci., Springer 12, No. 3, 211--222 (2018; Zbl 1417.92193) Full Text: DOI
Ji, Juanjuan; Zhang, Lanfang Homotopy analysis method for solving (2+1)-dimensional Navier-Stokes equations with perturbation terms. (English) Zbl 1413.65397 Commun. Math. Res. 34, No. 1, 1-14 (2018). MSC: 65M99 35Q30 65M12 PDF BibTeX XML Cite \textit{J. Ji} and \textit{L. Zhang}, Commun. Math. Res. 34, No. 1, 1--14 (2018; Zbl 1413.65397) Full Text: DOI