Bouloudene, Mokhtar; Jarad, Fahd; Adjabi, Yassine; Panda, Sumati Kumari Quasilinear coupled system in the frame of nonsingular ABC-derivatives with \(p\)-Laplacian operator at resonance. (English) Zbl 07783807 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 47, 29 p. (2024). MSC: 26A33 34A08 34B10 34B15 47H10 47H11 PDFBibTeX XMLCite \textit{M. Bouloudene} et al., Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 47, 29 p. (2024; Zbl 07783807) Full Text: DOI
Ghosh, Surath An analytical approach for the fractional-order hepatitis B model using new operator. (English) Zbl 1519.92254 Int. J. Biomath. 17, No. 1, Article ID 2350008, 22 p. (2024). MSC: 92D30 34A08 PDFBibTeX XMLCite \textit{S. Ghosh}, Int. J. Biomath. 17, No. 1, Article ID 2350008, 22 p. (2024; Zbl 1519.92254) Full Text: DOI
Sivasankari, Sathyamoorthy; Ananthaswamy, Vembu A mathematical study on non-linear ordinary differential equation for magnetohydrodynamic flow of the Darcy-Forchheimer nanofluid. (English) Zbl 07809626 Comput. Methods Differ. Equ. 11, No. 4, 696-715 (2023). MSC: 34B40 34E05 34E10 34E15 34E20 PDFBibTeX XMLCite \textit{S. Sivasankari} and \textit{V. Ananthaswamy}, Comput. Methods Differ. Equ. 11, No. 4, 696--715 (2023; Zbl 07809626) Full Text: DOI
Chaudhary, Anunay K.; Narang, Pankaj; Das, M. K. Modified homotopy perturbation method based solution of linearly damped Duffing oscillator and comparison with simulated solution. (English) Zbl 07790483 Jñānābha 53, No. 2, 191-199 (2023). MSC: 34D10 34A34 37M05 70K60 PDFBibTeX XMLCite \textit{A. K. Chaudhary} et al., Jñānābha 53, No. 2, 191--199 (2023; Zbl 07790483) Full Text: DOI
Catalan-Angeles, Gabriel; Arciga-Alejandre, Martin P.; Sanchez-Ortiz, Jorge Fractional Lotka-Volterra model with Holling type III functional response. (English) Zbl 07789823 Math. Methods Appl. Sci. 46, No. 16, 17128-17136 (2023). MSC: 34A08 34A34 PDFBibTeX XMLCite \textit{G. Catalan-Angeles} et al., Math. Methods Appl. Sci. 46, No. 16, 17128--17136 (2023; Zbl 07789823) Full Text: DOI
Khalouta, A. Existence and uniqueness of solution for Caputo-Fabrizio fractional Bratu-type initial value problem. (English) Zbl 07788786 Azerb. J. Math. 13, No. 1, 96-112 (2023). MSC: 34A08 26A33 34A12 47H10 PDFBibTeX XMLCite \textit{A. Khalouta}, Azerb. J. Math. 13, No. 1, 96--112 (2023; Zbl 07788786) Full Text: Link
Prakash, Amit; Kaur, Hardish Numerical simulation of coupled fractional-order Whitham-Broer-Kaup equations arising in shallow water with Atangana-Baleanu derivative. (English) Zbl 07787298 Math. Methods Appl. Sci. 46, No. 10, 11583-11602 (2023). MSC: 34F05 37M05 74S30 PDFBibTeX XMLCite \textit{A. Prakash} and \textit{H. Kaur}, Math. Methods Appl. Sci. 46, No. 10, 11583--11602 (2023; Zbl 07787298) Full Text: DOI
Hosseini, Kamyar; Sadri, Khadijeh; Mirzazadeh, Mohammad; Ahmadian, Ali; Chu, Yu-Ming; Salahshour, Soheil Reliable methods to look for analytical and numerical solutions of a nonlinear differential equation arising in heat transfer with the conformable derivative. (English) Zbl 07787284 Math. Methods Appl. Sci. 46, No. 10, 11342-11354 (2023). MSC: 34A08 37M99 PDFBibTeX XMLCite \textit{K. Hosseini} et al., Math. Methods Appl. Sci. 46, No. 10, 11342--11354 (2023; Zbl 07787284) Full Text: DOI
Jena, Rajarama Mohan; Chakraverty, Snehashish; Nisar, Kottakkaran Sooppy Dynamical behavior of rotavirus epidemic model with non-probabilistic uncertainty under Caputo-Fabrizio derivative. (English) Zbl 07783880 Math. Methods Appl. Sci. 46, No. 9, 10672-10697 (2023). MSC: 92D30 34A08 34A12 34A07 PDFBibTeX XMLCite \textit{R. M. Jena} et al., Math. Methods Appl. Sci. 46, No. 9, 10672--10697 (2023; Zbl 07783880) Full Text: DOI
Kushwah, Prakrati; Saha, Jitraj Improved accuracy and convergence of homotopy-based solutions for aggregation-fragmentation models. (English) Zbl 07782406 Math. Methods Appl. Sci. 46, No. 6, 7180-7200 (2023). MSC: 34A12 35Q70 45K05 47J35 PDFBibTeX XMLCite \textit{P. Kushwah} and \textit{J. Saha}, Math. Methods Appl. Sci. 46, No. 6, 7180--7200 (2023; Zbl 07782406) Full Text: DOI
Amiri Kayvanloo, Hojjatollah; Mursaleen, Mohammad; Mehrabinezhad, Mohammad; Pouladi Najafabadi, Farzaneh Solvability of some fractional differential equations in the Hölder space \(\mathcal{H}_{\gamma}(\mathbb{R_+})\) and their numerical treatment via measures of noncompactness. (English) Zbl 1527.47005 Math. Sci., Springer 17, No. 4, 387-397 (2023). MSC: 47H10 47H08 34A08 45E10 26A33 PDFBibTeX XMLCite \textit{H. Amiri Kayvanloo} et al., Math. Sci., Springer 17, No. 4, 387--397 (2023; Zbl 1527.47005) Full Text: DOI
Pandey, S. C.; Raturi, A. K. On solutions to the arms race model using some techniques of fractional calculus. (English) Zbl 07743256 J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 45-60 (2023). MSC: 34C60 91D99 34A08 26A33 34A45 PDFBibTeX XMLCite \textit{S. C. Pandey} and \textit{A. K. Raturi}, J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 45--60 (2023; Zbl 07743256) Full Text: DOI Link
Zhou, Yue; Xu, Hang Accurate coiflet wavelet solution of extended \((2+1)\)-dimensional Kadomtsev-Petviashvili equation using the novel wavelet-homotopy analysis approach. (English) Zbl 07733062 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107393, 20 p. (2023). MSC: 65-XX 35-XX 93-XX 34-XX 76-XX PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{H. Xu}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107393, 20 p. (2023; Zbl 07733062) Full Text: DOI
Narayanamoorthy, Samayan; Thomas, Reetha; Kang, Daekook An approximate mathematical solution for glucose insulin regulatory system using homotopy perturbation method. (English) Zbl 1520.92017 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 30, No. 1, 1-20 (2023). MSC: 92C30 34A07 34A30 34D10 92C50 PDFBibTeX XMLCite \textit{S. Narayanamoorthy} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 30, No. 1, 1--20 (2023; Zbl 1520.92017) Full Text: Link Link
Dutta, Hemen (ed.) Mathematical modelling. Theory and application. (English) Zbl 1522.34005 Contemporary Mathematics 787. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6965-8/pbk; 978-1-4704-7389-1/ebook). viii, 163 p. (2023). MSC: 34-06 37-06 92-06 34A33 37C29 37H10 92D30 35B10 35B40 92B05 92C50 55P57 55U10 00B15 PDFBibTeX XMLCite \textit{H. Dutta} (ed.), Mathematical modelling. Theory and application. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1522.34005) Full Text: DOI
Malik, Pradeep; Deepika Stability analysis of fractional order modelling of social media addiction. (English) Zbl 07723697 Math. Found. Comput. 6, No. 4, 670-690 (2023). MSC: 92D30 91D30 26A33 34D20 PDFBibTeX XMLCite \textit{P. Malik} and \textit{Deepika}, Math. Found. Comput. 6, No. 4, 670--690 (2023; Zbl 07723697) Full Text: DOI
Breden, Maxime; Engel, Maximilian Computer-assisted proof of shear-induced chaos in stochastically perturbed Hopf systems. (English) Zbl 1519.34039 Ann. Appl. Probab. 33, No. 2, 1252-1294 (2023). MSC: 34C28 34F05 34F10 34D08 60H10 60J35 65G99 PDFBibTeX XMLCite \textit{M. Breden} and \textit{M. Engel}, Ann. Appl. Probab. 33, No. 2, 1252--1294 (2023; Zbl 1519.34039) Full Text: DOI arXiv
Kvalheim, Matthew D. Obstructions to asymptotic stabilization. (English) Zbl 1512.93121 SIAM J. Control Optim. 61, No. 2, 536-542 (2023). MSC: 93D20 93D15 34D45 PDFBibTeX XMLCite \textit{M. D. Kvalheim}, SIAM J. Control Optim. 61, No. 2, 536--542 (2023; Zbl 1512.93121) Full Text: DOI arXiv
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
He, Ji-Huan; Jiao, Man-Li; Gepreel, Khaled A.; Khan, Yasir Homotopy perturbation method for strongly nonlinear oscillators. (English) Zbl 07619060 Math. Comput. Simul. 204, 243-258 (2023). MSC: 65-XX 34-XX PDFBibTeX XMLCite \textit{J.-H. He} et al., Math. Comput. Simul. 204, 243--258 (2023; Zbl 07619060) Full Text: DOI
Kaminski, O.; Monteiro, D. S.; Tomei, C. Using the critical set to induce bifurcations. arXiv:2311.10494 Preprint, arXiv:2311.10494 [math.NA] (2023). MSC: 34B15 35J91 35B32 35B60 65H20 BibTeX Cite \textit{O. Kaminski} et al., ``Using the critical set to induce bifurcations'', Preprint, arXiv:2311.10494 [math.NA] (2023) Full Text: arXiv OA License
Massoun, Youssouf Analytic study of pine wilt disease model with Caputo-Fabrizio fractional derivative. (English) Zbl 07771079 Math. Methods Appl. Sci. 45, No. 11, 7072-7080 (2022). MSC: 92D30 34A08 55P99 PDFBibTeX XMLCite \textit{Y. Massoun}, Math. Methods Appl. Sci. 45, No. 11, 7072--7080 (2022; Zbl 07771079) Full Text: DOI
Alyousef, Haifa A.; Alharthi, M. R.; Salas, Alvaro H.; El-Tantawy, S. A. Optimal analytical and numerical approximations to the (un)forced (un)damped parametric pendulum oscillator. (English) Zbl 1516.34060 Commun. Theor. Phys. 74, No. 10, Article ID 105002, 14 p. (2022). MSC: 34C15 34A45 65L06 PDFBibTeX XMLCite \textit{H. A. Alyousef} et al., Commun. Theor. Phys. 74, No. 10, Article ID 105002, 14 p. (2022; Zbl 1516.34060) Full Text: DOI
Kumbinarasaiah, S.; Preetham, M. P. A study on homotopy analysis method and Clique polynomial method. (English) Zbl 07665255 Comput. Methods Differ. Equ. 10, No. 3, 774-788 (2022). MSC: 65L05 34A12 41A10 34A45 PDFBibTeX XMLCite \textit{S. Kumbinarasaiah} and \textit{M. P. Preetham}, Comput. Methods Differ. Equ. 10, No. 3, 774--788 (2022; Zbl 07665255) Full Text: DOI
Al-Qudah, Alaa; Odibat, Zaid; Shawagfeh, Nabil An optimal homotopy analysis transform method for handling nonlinear PDEs. (English) Zbl 1505.65282 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 260, 19 p. (2022). MSC: 65M99 44A10 41A58 65M12 34A34 35Q53 PDFBibTeX XMLCite \textit{A. Al-Qudah} et al., Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 260, 19 p. (2022; Zbl 1505.65282) Full Text: DOI
Akhmedov, Dzhovidon Tolibovich; Mukhamadiev, Èrgashboĭ Mirzoevich; Nurov, Iskhokboĭ Dzhumaevich Periodic and bounded solutions of second-order nonlinear differential equations. (Russian. English summary) Zbl 1513.34154 Vladikavkaz. Mat. Zh. 24, No. 2, 35-50 (2022). MSC: 34C25 34C11 37C60 PDFBibTeX XMLCite \textit{D. T. Akhmedov} et al., Vladikavkaz. Mat. Zh. 24, No. 2, 35--50 (2022; Zbl 1513.34154) Full Text: DOI MNR
Achar, Sindhu J.; Baishya, Chandrali Dynamics of modified fractional illicit drug consumption model. (English) Zbl 1495.92055 Palest. J. Math. 11, No. 3, 112-126 (2022). MSC: 92D25 34A08 92-10 PDFBibTeX XMLCite \textit{S. J. Achar} and \textit{C. Baishya}, Palest. J. Math. 11, No. 3, 112--126 (2022; Zbl 1495.92055) Full Text: Link
Shokhanda, Rachana; Goswami, Pranay Solution of generalized fractional Burgers equation with a nonlinear term. (English) Zbl 1524.34025 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 235, 14 p. (2022). MSC: 34A08 34A34 65M06 26A33 PDFBibTeX XMLCite \textit{R. Shokhanda} and \textit{P. Goswami}, Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 235, 14 p. (2022; Zbl 1524.34025) Full Text: DOI
Salas, Alvaro H.; Martínez, Lorenzo J. Analytical solution to a quadratically damped quadratic oscillator. (English) Zbl 1513.65049 Int. J. Math. Comput. Sci. 17, No. 3, 1161-1168 (2022). MSC: 65D99 34C10 PDFBibTeX XMLCite \textit{A. H. Salas} and \textit{L. J. Martínez}, Int. J. Math. Comput. Sci. 17, No. 3, 1161--1168 (2022; Zbl 1513.65049) Full Text: Link
Umadevi, R.; Venugopal, K.; Jeyabarathi, P.; Rajendran, L.; Abukhaled, M. Analytical study of nonlinear roll motion of ships: a homotopy perturbation approach. (English) Zbl 1489.76003 Palest. J. Math. 11, No. 1, 316-325 (2022). MSC: 76-10 34A25 65L99 PDFBibTeX XMLCite \textit{R. Umadevi} et al., Palest. J. Math. 11, No. 1, 316--325 (2022; Zbl 1489.76003) Full Text: Link
Naik, Parvaiz Ahmad; Ghoreishi, Mohammad; Zu, Jian Approximate solution of a nonlinear fractional-order HIV model using homotopy analysis method. (English) Zbl 1513.92083 Int. J. Numer. Anal. Model. 19, No. 1, 52-84 (2022). MSC: 92D30 26A33 34D20 PDFBibTeX XMLCite \textit{P. A. Naik} et al., Int. J. Numer. Anal. Model. 19, No. 1, 52--84 (2022; Zbl 1513.92083) Full Text: Link
Arfan, Muhammad; Shah, Kamal; Ullah, Aman; Salahshour, Soheil; Ahmadian, Ali; Ferrara, Massimiliano A novel semi-analytical method for solutions of two dimensional fuzzy fractional wave equation using natural transform. (English) Zbl 1492.35419 Discrete Contin. Dyn. Syst., Ser. S 15, No. 2, 315-338 (2022). MSC: 35R13 35R11 26A33 34A07 35L05 PDFBibTeX XMLCite \textit{M. Arfan} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 2, 315--338 (2022; Zbl 1492.35419) Full Text: DOI
Din, Anwarud; Li, Yongjin; Yusuf, Abdullahi; Ali, Aliyu Isa Caputo type fractional operator applied to hepatitis B system. (English) Zbl 1492.34051 Fractals 30, No. 1, Article ID 2240023, 11 p. (2022). MSC: 34C60 34A08 92D30 92C60 34A45 34D05 PDFBibTeX XMLCite \textit{A. Din} et al., Fractals 30, No. 1, Article ID 2240023, 11 p. (2022; Zbl 1492.34051) Full Text: DOI
Gao, Wei; Veeresha, P.; Prakasha, D. G.; Baskonus, Haci Mehmet Regarding new numerical results for the dynamical model of romantic relationships with fractional derivative. (English) Zbl 1492.34054 Fractals 30, No. 1, Article ID 2240009, 11 p. (2022). MSC: 34C60 34A08 91D99 34A45 PDFBibTeX XMLCite \textit{W. Gao} et al., Fractals 30, No. 1, Article ID 2240009, 11 p. (2022; Zbl 1492.34054) Full Text: DOI
Dong, Bo The homotopy method for the complete solution of quadratic two-parameter eigenvalue problems. (English) Zbl 1483.65059 J. Sci. Comput. 90, No. 1, Paper No. 18, 25 p. (2022). MSC: 65F15 15A22 15A69 15A18 34K20 PDFBibTeX XMLCite \textit{B. Dong}, J. Sci. Comput. 90, No. 1, Paper No. 18, 25 p. (2022; Zbl 1483.65059) Full Text: DOI
Hoffmann, Matthias K.; Esterhuizen, Willem; Worthmann, Karl; Flaßkamp, Kathrin Path Planning for Concentric Tube Robots: a Toolchain with Application to Stereotactic Neurosurgery. arXiv:2211.15206 Preprint, arXiv:2211.15206 [math.OC] (2022). MSC: 49M20 65H20 92C50 70E60 34H05 BibTeX Cite \textit{M. K. Hoffmann} et al., ``Path Planning for Concentric Tube Robots: a Toolchain with Application to Stereotactic Neurosurgery'', Preprint, arXiv:2211.15206 [math.OC] (2022) Full Text: arXiv OA License
Alves, Emília; Goulart, Victor; Saldanha, Nicolau C. Homotopy type of spaces of locally convex curves in the sphere S^3. arXiv:2205.10928 Preprint, arXiv:2205.10928 [math.GT] (2022). MSC: 53C42 34B05 55P15 57N20 58B05 BibTeX Cite \textit{E. Alves} et al., ``Homotopy type of spaces of locally convex curves in the sphere S^3'', Preprint, arXiv:2205.10928 [math.GT] (2022) Full Text: arXiv OA License
El-Dib, Yusry O. The frequency estimation for non-conservative nonlinear oscillation. (English) Zbl 07813228 ZAMM, Z. Angew. Math. Mech. 101, No. 12, Article ID e202100187, 14 p. (2021). MSC: 34Axx 34Cxx 34Exx PDFBibTeX XMLCite \textit{Y. O. El-Dib}, ZAMM, Z. Angew. Math. Mech. 101, No. 12, Article ID e202100187, 14 p. (2021; Zbl 07813228) Full Text: DOI
Devi, Anju; Jakhar, Manjeet Mathematical study of fractional diabetes model via a modified analytical method. (English) Zbl 07750574 Jñānābha 51, No. 1, 34-41 (2021). MSC: 26A33 92B05 92C60 34A08 34A34 PDFBibTeX XMLCite \textit{A. Devi} and \textit{M. Jakhar}, Jñānābha 51, No. 1, 34--41 (2021; Zbl 07750574) Full Text: DOI
Faydaoğlu, Ş.; Öziş, T. Periodic solutions for certain non-smooth oscillators with high nonlinearities. (English) Zbl 1506.34052 Appl. Comput. Math. 20, No. 3, 366-380 (2021). MSC: 34C15 34A45 34C25 PDFBibTeX XMLCite \textit{Ş. Faydaoğlu} and \textit{T. Öziş}, Appl. Comput. Math. 20, No. 3, 366--380 (2021; Zbl 1506.34052) Full Text: Link
Ariza-Hernandez, Francisco J.; Martin-Alvarez, Luis M.; Arciga-Alejandre, Martin P.; Sanchez-Ortiz, Jorge Bayesian inversion for a fractional Lotka-Volterra model: an application of Canadian lynx vs. snowshoe hares. (English) Zbl 1498.62057 Chaos Solitons Fractals 151, Article ID 111278, 5 p. (2021). MSC: 62F15 34A08 92D25 PDFBibTeX XMLCite \textit{F. J. Ariza-Hernandez} et al., Chaos Solitons Fractals 151, Article ID 111278, 5 p. (2021; Zbl 1498.62057) Full Text: DOI
He, Ji-Huan; El-Dib, Yusry O. A tutorial introduction to the two-scale fractal calculus and its application to the fractal Zhiber-Shabat oscillator. (English) Zbl 1506.35200 Fractals 29, No. 8, Article ID 2150268, 9 p. (2021). MSC: 35Q53 28A80 35B05 35B35 35B20 35-01 34A34 34C15 PDFBibTeX XMLCite \textit{J.-H. He} and \textit{Y. O. El-Dib}, Fractals 29, No. 8, Article ID 2150268, 9 p. (2021; Zbl 1506.35200) Full Text: DOI
Al-Bugami, A. M. Nonlinear Fredholm integro-differential equation in two-dimensional and its numerical solutions. (English) Zbl 1525.34043 AIMS Math. 6, No. 10, 10383-10394 (2021). MSC: 34A45 65C40 37N30 PDFBibTeX XMLCite \textit{A. M. Al-Bugami}, AIMS Math. 6, No. 10, 10383--10394 (2021; Zbl 1525.34043) Full Text: DOI
Nosrati Sahlan, Monireh; Afshari, Hojjat Three new approaches for solving a class of strongly nonlinear two-point boundary value problems. (English) Zbl 1495.65122 Bound. Value Probl. 2021, Paper No. 60, 21 p. (2021). MSC: 65L10 65L60 34A34 PDFBibTeX XMLCite \textit{M. Nosrati Sahlan} and \textit{H. Afshari}, Bound. Value Probl. 2021, Paper No. 60, 21 p. (2021; Zbl 1495.65122) Full Text: DOI
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
Rangkuti, Y. M.; Alomari, A. K. Analytical solution of hyperchaotic Zhou equations by multistage homotopy analysis method. (English) Zbl 1493.34040 Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 68, 13 p. (2021). MSC: 34A25 34A34 34C28 34D08 PDFBibTeX XMLCite \textit{Y. M. Rangkuti} and \textit{A. K. Alomari}, Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 68, 13 p. (2021; Zbl 1493.34040) Full Text: DOI
Baishya, Chandrali Dynamics of fractional Holling type-II predator-prey model with prey refuge and additional food to predator. (English) Zbl 1478.92147 J. Appl. Nonlinear Dyn. 10, No. 2, 315-328 (2021). MSC: 92D25 34A08 37N25 PDFBibTeX XMLCite \textit{C. Baishya}, J. Appl. Nonlinear Dyn. 10, No. 2, 315--328 (2021; Zbl 1478.92147) Full Text: DOI
Singh, Randhir An efficient technique based on the HAM with Green’s function for a class of nonlocal elliptic boundary value problems. (English) Zbl 1513.65500 Comput. Methods Differ. Equ. 9, No. 3, 722-735 (2021). MSC: 65N99 65R20 65N12 65N15 65D20 33F05 65L10 65L80 34B05 34B15 34B18 34B27 PDFBibTeX XMLCite \textit{R. Singh}, Comput. Methods Differ. Equ. 9, No. 3, 722--735 (2021; Zbl 1513.65500) Full Text: DOI
Yambiyo, Brice M.; Norouzi, Fatemeh; N’Guérékata, Gaston M. A study of an epidemic SIR model via homotopy analysis method in the sense of Caputo-fractional system. (English) Zbl 1487.34103 N’Guérékata, Gaston M. (ed.) et al., Studies in evolution equations and related topics. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 51-67 (2021). MSC: 34C60 34A08 92D30 34C05 34D20 34A45 34D05 PDFBibTeX XMLCite \textit{B. M. Yambiyo} et al., in: Studies in evolution equations and related topics. Cham: Springer. 51--67 (2021; Zbl 1487.34103) Full Text: DOI
Ray, Santanu Saha; Giri, Subodha New soliton solutions of the time fractional Drinfeld-Sokolov-Satsuma-Hirota system in dispersive water waves. (English) Zbl 1484.35130 Math. Methods Appl. Sci. 44, No. 18, 14217-14235 (2021). MSC: 35C08 35R11 26A33 34A08 PDFBibTeX XMLCite \textit{S. S. Ray} and \textit{S. Giri}, Math. Methods Appl. Sci. 44, No. 18, 14217--14235 (2021; Zbl 1484.35130) Full Text: DOI
Komyo, Arata A family of flat connections on the projective space having dihedral monodromy and algebraic Garnier solutions. (English. French summary) Zbl 1486.14037 Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 3, 479-501 (2021). Reviewer: Konstantin Jakob (Cambridge) MSC: 14H05 14F35 34M55 PDFBibTeX XMLCite \textit{A. Komyo}, Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 3, 479--501 (2021; Zbl 1486.14037) Full Text: DOI arXiv
Maitama, Shehu; Zhao, Weidong Homotopy analysis Shehu transform method for solving fuzzy differential equations of fractional and integer order derivatives. (English) Zbl 1476.34009 Comput. Appl. Math. 40, No. 3, Paper No. 86, 30 p. (2021). MSC: 34A07 35R11 35R13 44A10 PDFBibTeX XMLCite \textit{S. Maitama} and \textit{W. Zhao}, Comput. Appl. Math. 40, No. 3, Paper No. 86, 30 p. (2021; Zbl 1476.34009) Full Text: DOI
Goyal, Manish; Prakash, Amit; Gupta, Shivangi Numerical analysis of coupled time-fractional differential equations arising in epidemiological models. (English) Zbl 1472.92214 Mishra, Jyoti (ed.) et al., Mathematical modeling and soft computing in epidemiology. Boca Raton, FL: CRC Press. Inf. Technol. Manag. Oper. Res. Pract., 173-198 (2021). MSC: 92D30 34A08 65H20 PDFBibTeX XMLCite \textit{M. Goyal} et al., in: Mathematical modeling and soft computing in epidemiology. Boca Raton, FL: CRC Press. 173--198 (2021; Zbl 1472.92214) Full Text: DOI
Agarwal, Ritu; Kritika; Purohit, S. D.; Mishra, Jyoti A mathematical fractional model to study the hepatitis B virus infection. (English) Zbl 1472.92193 Mishra, Jyoti (ed.) et al., Mathematical modeling and soft computing in epidemiology. Boca Raton, FL: CRC Press. Inf. Technol. Manag. Oper. Res. Pract., 273-290 (2021). MSC: 92D30 34A08 65H20 PDFBibTeX XMLCite \textit{R. Agarwal} et al., in: Mathematical modeling and soft computing in epidemiology. Boca Raton, FL: CRC Press. 273--290 (2021; Zbl 1472.92193) Full Text: DOI
Mitchell, Jonathan Simplified Liénard equation by homotopy analysis method. (English) Zbl 1483.34027 Differ. Equ. Dyn. Syst. 29, No. 3, 735-748 (2021). Reviewer: J. Peter Praveen (Guntur) MSC: 34A45 34C15 34E05 PDFBibTeX XMLCite \textit{J. Mitchell}, Differ. Equ. Dyn. Syst. 29, No. 3, 735--748 (2021; Zbl 1483.34027) Full Text: DOI
Cousin, Gaël; Heu, Viktoria Algebraic isomonodromic deformations and the mapping class group. (English) Zbl 07399481 J. Inst. Math. Jussieu 20, No. 5, 1497-1545 (2021). MSC: 20F36 34M56 14D05 14F35 PDFBibTeX XMLCite \textit{G. Cousin} and \textit{V. Heu}, J. Inst. Math. Jussieu 20, No. 5, 1497--1545 (2021; Zbl 07399481) Full Text: DOI arXiv
Chou, So-Hsiang; Attanayake, C.; Thapa, C. A homotopy perturbation method for a class of truly nonlinear oscillators. (English) Zbl 1491.34052 Ann. Math. Sci. Appl. 6, No. 1, 3-23 (2021). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 34C15 34E10 33F05 PDFBibTeX XMLCite \textit{S.-H. Chou} et al., Ann. Math. Sci. Appl. 6, No. 1, 3--23 (2021; Zbl 1491.34052) Full Text: DOI
Church, Kevin E. M. Analysis of pandemic closing-reopening cycles using rigorous homotopy continuation: a case study with Montreal COVID-19 data. (English) Zbl 1469.92106 SIAM J. Appl. Dyn. Syst. 20, No. 2, 745-783 (2021). MSC: 92D30 55P99 34A36 34K13 PDFBibTeX XMLCite \textit{K. E. M. Church}, SIAM J. Appl. Dyn. Syst. 20, No. 2, 745--783 (2021; Zbl 1469.92106) Full Text: DOI
Padmavathi, V.; Prakash, A.; Alagesan, K.; Magesh, N. Analysis and numerical simulation of novel coronavirus (COVID-19) model with Mittag-Leffler kernel. (English) Zbl 1476.37104 Math. Methods Appl. Sci. 44, No. 2, 1863-1877 (2021). MSC: 37N25 37M05 34F05 92D30 PDFBibTeX XMLCite \textit{V. Padmavathi} et al., Math. Methods Appl. Sci. 44, No. 2, 1863--1877 (2021; Zbl 1476.37104) Full Text: DOI
Mesdoui, Fatiha; Shawagfeh, Nabil; Ouannas, Adel Global synchronization of fractional-order and integer-order \(N\) component reaction diffusion systems: application to biochemical models. (English) Zbl 1476.37109 Math. Methods Appl. Sci. 44, No. 1, 1003-1012 (2021). MSC: 37N35 35K57 26A33 34D20 PDFBibTeX XMLCite \textit{F. Mesdoui} et al., Math. Methods Appl. Sci. 44, No. 1, 1003--1012 (2021; Zbl 1476.37109) Full Text: DOI
He, Ji-Huan; El-Dib, Yusry O. Homotopy perturbation method with three expansions. (English) Zbl 1495.34028 J. Math. Chem. 59, No. 4, 1139-1150 (2021). Reviewer: J. Peter Praveen (Guntur) MSC: 34A45 34A25 34C15 PDFBibTeX XMLCite \textit{J.-H. He} and \textit{Y. O. El-Dib}, J. Math. Chem. 59, No. 4, 1139--1150 (2021; Zbl 1495.34028) 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 1464.34072 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. Lect. Notes Netw. Syst. 168, 44-60 (2021). MSC: 34C60 92C37 34A08 47N20 34A45 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Lect. Notes Netw. Syst. 168, 44--60 (2021; Zbl 1464.34072) Full Text: DOI
El-Dib, Yusry O. Homotopy perturbation method with rank upgrading technique for the superior nonlinear oscillation. (English) Zbl 1524.34040 Math. Comput. Simul. 182, 555-565 (2021). MSC: 34A45 34C15 PDFBibTeX XMLCite \textit{Y. O. El-Dib}, Math. Comput. Simul. 182, 555--565 (2021; Zbl 1524.34040) Full Text: DOI
Goulart, Victor; Saldanha, Nicolau C. A CW complex homotopy equivalent to spaces of locally convex curves. arXiv:2112.14539 Preprint, arXiv:2112.14539 [math.GT] (2021). MSC: 53C42 34B05 55P15 57N20 58B05 BibTeX Cite \textit{V. Goulart} and \textit{N. C. Saldanha}, ``A CW complex homotopy equivalent to spaces of locally convex curves'', Preprint, arXiv:2112.14539 [math.GT] (2021) Full Text: arXiv OA License
Ajibade, Abiodun O.; Umar, Ayuba M. Steady natural convection Couette flow with wall conduction and thermal boundary condition of third kind. (English) Zbl 07809742 ZAMM, Z. Angew. Math. Mech. 100, No. 8, Article ID e201900095, 18 p. (2020). MSC: 76Rxx 80Axx 34Axx PDFBibTeX XMLCite \textit{A. O. Ajibade} and \textit{A. M. Umar}, ZAMM, Z. Angew. Math. Mech. 100, No. 8, Article ID e201900095, 18 p. (2020; Zbl 07809742) Full Text: DOI
Eladdad, E. E.; Tarif, E. A. Analytical techniques for solving the equation governing the unsteady flow of a polytropic gas with time-fractional derivative. (English) Zbl 1499.34109 Filomat 34, No. 1, 231-247 (2020). MSC: 34A45 34A08 34A12 35R11 PDFBibTeX XMLCite \textit{E. E. Eladdad} and \textit{E. A. Tarif}, Filomat 34, No. 1, 231--247 (2020; Zbl 1499.34109) Full Text: DOI
Xing, Jiamin; Yang, Xue Affine-periodic solutions by asymptotic and homotopy equivalence. (English) Zbl 1495.34063 Bound. Value Probl. 2020, Paper No. 83, 20 p. (2020). MSC: 34C25 37C60 34C41 47N20 PDFBibTeX XMLCite \textit{J. Xing} and \textit{X. Yang}, Bound. Value Probl. 2020, Paper No. 83, 20 p. (2020; Zbl 1495.34063) Full Text: DOI
Rabbani, Mohsen; Das, Anupam; Hazarika, Bipan; Arab, Reza Measure of noncompactness of a new space of tempered sequences and its application on fractional differential equations. (English) Zbl 1502.47067 Chaos Solitons Fractals 140, Article ID 110221, 8 p. (2020). MSC: 47H08 47N20 34A08 26A33 PDFBibTeX XMLCite \textit{M. Rabbani} et al., Chaos Solitons Fractals 140, Article ID 110221, 8 p. (2020; Zbl 1502.47067) Full Text: DOI
Rezapour, Shahram; Etemad, Sina; Mohammadi, Hakimeh A mathematical analysis of a system of Caputo-Fabrizio fractional differential equations for the anthrax disease model in animals. (English) Zbl 1486.92273 Adv. Difference Equ. 2020, Paper No. 481, 30 p. (2020). MSC: 92D30 92D40 34A08 26A33 PDFBibTeX XMLCite \textit{S. Rezapour} et al., Adv. Difference Equ. 2020, Paper No. 481, 30 p. (2020; Zbl 1486.92273) Full Text: DOI
Gao, Wei; Veeresha, P.; Prakasha, D. G.; Baskonus, Haci Mehmet; Yel, Gulnur New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function. (English) Zbl 1483.92078 Chaos Solitons Fractals 134, Article ID 109696, 11 p. (2020). MSC: 92C50 92D30 65H20 34A08 26A33 PDFBibTeX XMLCite \textit{W. Gao} et al., Chaos Solitons Fractals 134, Article ID 109696, 11 p. (2020; Zbl 1483.92078) Full Text: DOI
Veeresha, P.; Baskonus, Haci Mehmet; Prakasha, D. G.; Gao, Wei; Yel, Gulnur Regarding new numerical solution of fractional schistosomiasis disease arising in biological phenomena. (English) Zbl 1483.92007 Chaos Solitons Fractals 133, Article ID 109661, 7 p. (2020). MSC: 92-08 65L99 34A08 92B05 92D30 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Chaos Solitons Fractals 133, Article ID 109661, 7 p. (2020; Zbl 1483.92007) Full Text: DOI
Derakhshan, M. H.; Aminataei, A. Comparison of homotopy perturbation transform method and fractional Adams-Bashforth method for the Caputo-Prabhakar nonlinear fractional differential equations. (English) Zbl 1482.65131 Iran. J. Numer. Anal. Optim. 10, No. 2, 63-85 (2020). MSC: 65L99 34A08 PDFBibTeX XMLCite \textit{M. H. Derakhshan} and \textit{A. Aminataei}, Iran. J. Numer. Anal. Optim. 10, No. 2, 63--85 (2020; Zbl 1482.65131) Full Text: DOI
Biazar, J.; Dehghan, M.; Houlari, T. Using homotopy analysis method to find the eigenvalues of higher order fractional Sturm-Liouville problems. (English) Zbl 1493.34231 Iran. J. Numer. Anal. Optim. 10, No. 1, 49-62 (2020). MSC: 34L16 34B24 34A08 34L15 PDFBibTeX XMLCite \textit{J. Biazar} et al., Iran. J. Numer. Anal. Optim. 10, No. 1, 49--62 (2020; Zbl 1493.34231) Full Text: DOI
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative. (English) Zbl 1485.37075 Adv. Difference Equ. 2020, Paper No. 299, 27 p. (2020). MSC: 37N25 34A08 26A33 92D30 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2020, Paper No. 299, 27 p. (2020; Zbl 1485.37075) Full Text: DOI
Alomari, A. K. Homotopy-Sumudu transforms for solving system of fractional partial differential equations. (English) Zbl 1482.35241 Adv. Difference Equ. 2020, Paper No. 222, 16 p. (2020). MSC: 35R11 26A33 34A08 PDFBibTeX XMLCite \textit{A. K. Alomari}, Adv. Difference Equ. 2020, Paper No. 222, 16 p. (2020; Zbl 1482.35241) Full Text: DOI
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram A mathematical theoretical study of a particular system of Caputo-Fabrizio fractional differential equations for the rubella disease model. (English) Zbl 1482.34017 Adv. Difference Equ. 2020, Paper No. 184, 19 p. (2020). MSC: 34A08 26A33 92D30 47N20 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2020, Paper No. 184, 19 p. (2020; Zbl 1482.34017) Full Text: DOI
Gao, Wei; Veeresha, P.; Prakasha, D. G.; Senel, Bilgin; Baskonus, Haci Mehmet Iterative method applied to the fractional nonlinear systems arising in thermoelasticity with Mittag-Leffler kernel. (English) Zbl 07468622 Fractals 28, No. 8, Article ID 2040040, 16 p. (2020). MSC: 65-XX 34-XX PDFBibTeX XMLCite \textit{W. Gao} et al., Fractals 28, No. 8, Article ID 2040040, 16 p. (2020; Zbl 07468622) Full Text: DOI
Ilie, M. Analytic solution for second-order fractional differential equations via HPM. (English) Zbl 1513.34071 J. Fract. Calc. Appl. 11, No. 1, 121-137 (2020). MSC: 34A45 34A08 PDFBibTeX XMLCite \textit{M. Ilie}, J. Fract. Calc. Appl. 11, No. 1, 121--137 (2020; Zbl 1513.34071) Full Text: Link
Ismail, Gamal Mohamed; Hosen, Md. Alal Global residue harmonic balance method for obtaining higher-order accurate solutions to the strongly nonlinear oscillator. (English) Zbl 1492.65228 Thai J. Math. 18, No. 4, 1947-1959 (2020). MSC: 65L99 34C15 70K60 PDFBibTeX XMLCite \textit{G. M. Ismail} and \textit{Md. A. Hosen}, Thai J. Math. 18, No. 4, 1947--1959 (2020; Zbl 1492.65228) Full Text: Link
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative. (English) Zbl 1482.37090 Adv. Difference Equ. 2020, Paper No. 71, 17 p. (2020). MSC: 37N25 34A08 26A33 92D30 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2020, Paper No. 71, 17 p. (2020; Zbl 1482.37090) Full Text: DOI
Norouzi, Fatemeh; N’Guérékata, Gaston M. A new study of fractional-order financial system via homotopy analysis. (English) Zbl 1488.34285 An. Univ. Oradea, Fasc. Mat. 27, No. 1, 141-152 (2020). MSC: 34C60 34A08 34C05 91G99 34A45 PDFBibTeX XMLCite \textit{F. Norouzi} and \textit{G. M. N'Guérékata}, An. Univ. Oradea, Fasc. Mat. 27, No. 1, 141--152 (2020; Zbl 1488.34285)
Vassilev, Vassil M.; Dantchev, Daniel M.; Popov, Svilen I. Approximate analytical solutions generalized Lane-Emden-Fowler equations. (English) Zbl 1493.34087 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 21st international conference on geometry, integrability and quantization, Varna, Bulgaria, June 3–8, 2019. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 21, 302-309 (2020). MSC: 34B30 34A45 45D05 34A25 PDFBibTeX XMLCite \textit{V. M. Vassilev} et al., Geom. Integrability Quantization 21, 302--309 (2020; Zbl 1493.34087) Full Text: DOI
He, Ji-Huan; El-Dib, Yusry O. Homotopy perturbation method for Fangzhu oscillator. (English) Zbl 1470.34050 J. Math. Chem. 58, No. 10, 2245-2253 (2020). MSC: 34A45 34C15 34C25 PDFBibTeX XMLCite \textit{J.-H. He} and \textit{Y. O. El-Dib}, J. Math. Chem. 58, No. 10, 2245--2253 (2020; Zbl 1470.34050) 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 PDFBibTeX XMLCite \textit{P. A. Naik} et al., J. Appl. Anal. Comput. 10, No. 4, 1482--1515 (2020; Zbl 1455.34039) Full Text: DOI
Mishra, Hradyesh Kumar; Tripathi, Rajnee Homotopy perturbation method of delay differential equation using He’s polynomial with Laplace transform. (English) Zbl 1458.34115 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 289-298 (2020). MSC: 34K05 34K07 44A10 PDFBibTeX XMLCite \textit{H. K. Mishra} and \textit{R. Tripathi}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 289--298 (2020; Zbl 1458.34115) Full Text: DOI
Ganeshan, Devipriya; Thiruvarul Selvan, Kavitha Analytical solution of the effect of awareness program by media on the spread of an infectious disease by homotopy perturbation method. (English) Zbl 1458.34087 Tamkang J. Math. 51, No. 4, 333-347 (2020). MSC: 34C60 34A45 34D10 92D30 PDFBibTeX XMLCite \textit{D. Ganeshan} and \textit{K. Thiruvarul Selvan}, Tamkang J. Math. 51, No. 4, 333--347 (2020; Zbl 1458.34087) Full Text: DOI
El-Dib, Yusry O. Stability approach of a fractional-delayed Duffing oscillator. (English) Zbl 1460.34098 Discontin. Nonlinearity Complex. 9, No. 3, 367-376 (2020). Reviewer: Hakan Adıgüzel (Serdivan) MSC: 34K37 34K20 34K07 PDFBibTeX XMLCite \textit{Y. O. El-Dib}, Discontin. Nonlinearity Complex. 9, No. 3, 367--376 (2020; Zbl 1460.34098) Full Text: DOI
Thota, Srinivasarao; Shanmugasundaram, P. On a symbolic method for neutral functional-differential equations with proportional delays. (English) Zbl 1486.65090 Cogent Math. Stat. 7, Article ID 1813961, 13 p. (2020). MSC: 65L99 34K40 PDFBibTeX XMLCite \textit{S. Thota} and \textit{P. Shanmugasundaram}, Cogent Math. Stat. 7, Article ID 1813961, 13 p. (2020; Zbl 1486.65090) 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
Shone, T. T.; Patra, Ashrita; Mishra, B. B. Solution of nonlinear fractional quadratic Riccati differential equations using perturbation method. (English) Zbl 1441.65054 Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 88, 11 p. (2020). MSC: 65L03 65L05 34A08 26A33 65H20 PDFBibTeX XMLCite \textit{T. T. Shone} et al., Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 88, 11 p. (2020; Zbl 1441.65054) 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 PDFBibTeX XMLCite \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 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
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 PDFBibTeX XMLCite \textit{S. R. Saratha} et al., Comput. Appl. Math. 39, No. 2, Paper No. 112, 32 p. (2020; Zbl 1449.65293) Full Text: DOI
Hao, Wenrui; Hesthaven, Jan; Lin, Guang; Zheng, Bin A homotopy method with adaptive basis selection for computing multiple solutions of differential equations. (English) Zbl 07161476 J. Sci. Comput. 82, No. 1, Paper No. 19, 17 p. (2020). MSC: 65Lxx 65Hxx 34Bxx PDFBibTeX XMLCite \textit{W. Hao} et al., J. Sci. Comput. 82, No. 1, Paper No. 19, 17 p. (2020; Zbl 07161476) 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 PDFBibTeX XMLCite \textit{S. Saha Ray}, Nonlinear differential equations in physics. Novel methods for finding solutions. Singapore: Springer (2020; Zbl 1445.35010) Full Text: DOI
Izydorek, Marek; Janczewska, Joanna; Mawhin, Jean Homoclinics for singular strong force Lagrangian systems. (English) Zbl 1435.37092 Adv. Nonlinear Anal. 9, 644-653 (2020). Reviewer: Predrag Punosevac (Pittsburgh) MSC: 37J51 37J46 46E30 34C37 70H03 70K44 PDFBibTeX XMLCite \textit{M. Izydorek} et al., Adv. Nonlinear Anal. 9, 644--653 (2020; Zbl 1435.37092) Full Text: DOI
Dreyfus, Thomas; Heu, Viktoria Degeneration from difference to differential Okamoto spaces for the sixth Painlevé equation. arXiv:2005.12805 Preprint, arXiv:2005.12805 [math.CA] (2020). MSC: 14D05 14F35 34M56 39A13 BibTeX Cite \textit{T. Dreyfus} and \textit{V. Heu}, ``Degeneration from difference to differential Okamoto spaces for the sixth Painlev\'e equation'', Preprint, arXiv:2005.12805 [math.CA] (2020) Full Text: arXiv OA License
Renganathan, K.; Ananthaswamy, V. Mathematical modeling for solving nonlinear boundary value problem for the phenol hybrid bio reactor. (English) Zbl 07740812 Adv. Math., Sci. J. 8, No. 3, 511-526 (2019). MSC: 92C75 34A34 34B15 35K57 PDFBibTeX XMLCite \textit{K. Renganathan} and \textit{V. Ananthaswamy}, Adv. Math., Sci. J. 8, No. 3, 511--526 (2019; Zbl 07740812) Full Text: Link
Mathi Selvi, M. Salai; Rajendran, L. Application of modified wavelet and homotopy perturbation methods to nonlinear oscillation problems. (English) Zbl 07664256 Appl. Math. Nonlinear Sci. 4, No. 2, 351-364 (2019). MSC: 65-XX 34C15 PDFBibTeX XMLCite \textit{M. S. Mathi Selvi} and \textit{L. Rajendran}, Appl. Math. Nonlinear Sci. 4, No. 2, 351--364 (2019; Zbl 07664256) Full Text: DOI
Khan, Najeeb Alam; Ahmed, Samreen; Hameed, Tooba; Raja, Muhammad Asif Zahoor Expedite homotopy perturbation method based on metaheuristic technique mimicked by the flashing behavior of fireflies. (English) Zbl 1484.65169 AIMS Math. 4, No. 4, 1114-1132 (2019). MSC: 65L99 34A08 90C59 PDFBibTeX XMLCite \textit{N. A. Khan} et al., AIMS Math. 4, No. 4, 1114--1132 (2019; Zbl 1484.65169) Full Text: DOI