Shweta; Hussain, Saddam; Kumar, Rajesh; Kumar, Rajesh An improved version of homotopy perturbation method for multi-dimensional Burgers’ equations. (English) Zbl 07925061 J. Appl. Anal. Comput. 15, No. 1, 517-546 (2025). MSC: 65M99 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Hussain, Saddam; Bariwal, Sanjiv Kumar; Kumar, Rajesh Collisional breakage population balance equation: an analytical approach. (English) Zbl 07922180 J. Math. Anal. Appl. 541, No. 1, Article ID 128697, 26 p. (2025). MSC: 82Cxx 45Kxx 65Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Ali, Khalid K.; Mohamed, Mohamed S.; Maneea, M. Fractional analysis of the \((2+1)\, \mathfrak{q}\)-deformed tanh-Gordon equation with optimal homotopy with \(\mathbb{J}\)-transform. (English) Zbl 07955189 Z. Angew. Math. Phys. 75, No. 6, Paper No. 231, 23 p. (2024). MSC: 35A01 35C10 × Cite Format Result Cite Review PDF Full Text: DOI
Sachin, K. N.; Devi, K. Suguntha; Kumbinarasaiah, S. A semi-analytic and numerical approach to the fractional differential equations. (English) Zbl 07947232 Iran. J. Numer. Anal. Optim. 14, No. 4, 1069-1105 (2024). MSC: 26A33 34A08 65H20 90C30 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Mollah, Saddam; Biswas, Santosh; Khajanchi, Subhas Impact of awareness program on diabetes mellitus described by fractional-order model solving by homotopy analysis method. (English) Zbl 07941092 Ric. Mat. 73, No. 5, 2359-2384 (2024). MSC: 92D30 34K37 37M05 37M10 × Cite Format Result Cite Review PDF Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Kumar, Sunil A fractional model for propagation of classical optical solitons by using nonsingular derivative. (English) Zbl 07924802 Math. Methods Appl. Sci. 47, No. 13, 10609-10623 (2024). MSC: 26A33 34A08 34A34 60G22 × Cite Format Result Cite Review PDF Full Text: DOI
Arora, Gourav; Kumar, Rajesh; Mammeri, Youcef Elzaki transform based accelerated homotopy perturbation method for multi-dimensional Smoluchowski’s coagulation and coupled coagulation-fragmentation equations. (English) Zbl 07924354 J. Appl. Anal. Comput. 14, No. 5, 2922-2953 (2024). MSC: 45K05 45L05 65R20 65R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nabarrete, Airton; Nabarrete, Jorge Luis; Balthazar, J. M. Nonlinear piezoelectric vibration energy harvesting of a cantilever beam using homotopy analysis method. (English) Zbl 07920654 Belhaq, Mohamed (ed.), Advances in nonlinear dynamics and control of mechanical and physical systems. Selected articles from CSNDD, Marrakesh, Morocco, May 15–17, 2023. Singapore: Springer. Springer Proc. Phys. 301, 187-197 (2024). MSC: 74H45 74H15 74K99 × Cite Format Result Cite Review PDF Full Text: DOI
Maji, Mitali; Khajanchi, Subhas A fractional-order yeast prion mathematical model and its solution. (English) Zbl 1542.92060 J. Appl. Math. Comput. 70, No. 4, 2767-2784 (2024). MSC: 92C50 92C20 34A08 34D20 92-10 × Cite Format Result Cite Review PDF Full Text: DOI
Mahalakshmi, D.; Vennila, B.; Loganathan, K. Entropy generation analysis on zero mass flux effects of nonlinear mixed convective Williamson nanofluid flow with Christov-Cattaneo heat flux. (English) Zbl 07893813 J. Appl. Math. Comput. 70, No. 2, 1171-1192 (2024). MSC: 80Axx 76Rxx 34Axx × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Di; Gu, Qiongya; Wang, Lizhen \(q\)-homotopy analysis method for time-fractional Newell-Whitehead equation and time-fractional generalized Hirota-Satsuma coupled KdV system. (English) Zbl 1544.35192 Commun. Theor. Phys. 76, No. 3, Article ID 035007, 14 p. (2024). MSC: 35R11 26A33 35Q51 65M22 × Cite Format Result Cite Review PDF Full Text: DOI
Enyi, Cyril D.; Nwaeze, Eze R.; Omaba, McSylvester E. Numerical and analytical solution to a conformable fractional Fornberg-Whitham equation. (English) Zbl 1541.65133 Math. Sci., Springer 18, No. 2, 167-180 (2024). MSC: 65M99 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Javed, Mubashar Insight of Jeffrey flow over a stretching Riga plate with activation energy and viscous dissipation: melting heat transfer regime. (English) Zbl 07885426 ZAMM, Z. Angew. Math. Mech. 104, No. 6, Article ID e202300611, 17 p. (2024). MSC: 76A05 76W05 76V05 76D10 76M99 80A19 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Murugan, Revathi Devi; Sivakumar, Narsu; Tarakaramu, Nainaru; Alhazmi, Hadil; Abdullaev, Sherzod Entropy and energy transfer analysis of a Maxwell thin-film fluid over an inclined surface with viscous dissipation effect. (English) Zbl 07885421 ZAMM, Z. Angew. Math. Mech. 104, No. 6, Article ID e202300381, 18 p. (2024). MSC: 76A20 76A10 76T20 76W05 76M99 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Bektaş, Umut; Anaç, Halil A hybrid method to solve a fractional-order Newell-Whitehead-Segel equation. (English) Zbl 1543.35263 Bound. Value Probl. 2024, Paper No. 38, 13 p. (2024). MSC: 35R11 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Ajay; Meher, Ramakanta Study on temporal-fuzzy fractional p-KdV equation with non-singular Mittag Leffler kernel. (English) Zbl 1542.35422 Math. Model. Anal. 29, No. 1, 57-76 (2024). MSC: 35R13 35R11 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Hussain, Saddam; Arora, Gourav; Kumar, Rajesh Semi-analytical methods for solving non-linear differential equations: a review. (English) Zbl 07852390 J. Math. Anal. Appl. 531, No. 1, Part 2, Article ID 127821, 23 p. (2024). MSC: 65Lxx 65Mxx 65Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Radhakrishnan, Bheeman; Chandru, Paramasivam; Nieto, Juan J. A study of nonlinear fractional-order biochemical reaction model and numerical simulations. (English) Zbl 1542.34039 Nonlinear Anal., Model. Control 29, No. 3, 588-605 (2024). MSC: 34C60 92C45 34A08 34A45 × Cite Format Result Cite Review PDF Full Text: Link
Roy, Tapas; Maiti, Dilip K. General approach on the best fitted linear operator and basis function for homotopy methods and application to strongly nonlinear oscillators. (English) Zbl 1540.65264 Math. Comput. Simul. 220, 44-64 (2024). MSC: 65L99 65L10 34A45 × Cite Format Result Cite Review PDF Full Text: DOI
Alomari, Abedel-Karrem; Abdeljawad, Thabet; Baleanu, Dumitru; Saad, Khaled M.; Al-Mdallal, Qasem M. Numerical solutions of fractional parabolic equations with generalized Mittag-Leffler kernels. (English) Zbl 1531.65209 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22699, 25 p. (2024). MSC: 65M99 35R11 35K55 35K15 33E12 × Cite Format Result Cite Review PDF Full Text: DOI
Malagi, Naveen S.; Prakasha, D. G.; Veeresha, P.; Prasannakumara, B. C. Fractional reaction-diffusion model: an efficient computational technique for nonlinear time-fractional Schnakenberg model. (English) Zbl 07907679 Singh, Jagdev (ed.) et al., Advances in mathematical modelling, applied analysis and computation. Proceedings of the fourth conference, ICMMAAC 2021, JECRC University, Jaipur, India, August 5–7, 2021. Singapore: Springer. Lect. Notes Netw. Syst. 415, 427-454 (2023). MSC: 65M99 44A10 92C17 92C37 92D10 35A20 92-08 26A33 35R11 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Chauhan, Astha; Arora, Rajan Application of homotopy analysis method (HAM) to the non-linear KdV equations. (English) Zbl 07894532 Commun. Math. 31, No. 1, 205-220 (2023). MSC: 35Q53 65M99 65M12 68W30 35A20 35C05 35C10 × Cite Format Result Cite Review PDF Full Text: DOI
Kazemi, Fatemeh; Alipour, Maryam A new application of \(q\)-homotopy analysis method to solve non-linear optimal control problems. (English) Zbl 1543.65073 Casp. J. Math. Sci. 12, No. 1, 105-127 (2023). MSC: 65H20 90C30 65K10 49J99 × Cite Format Result Cite Review PDF Full Text: DOI
Yadav, Pramod Kumar; Yadav, Nitisha Entropy generation analysis in micropolar-couple stress fluid’s flow in an inclined porous channel using homotopy analysis method. (English) Zbl 07853161 Chin. J. Phys., Taipei 86, 469-496 (2023). MSC: 76A05 76S05 76M99 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Javidi, Reza; Rezaei, Behnam; Moghimi Zand, Mahdi Nonlinear dynamics of a beam subjected to a moving mass and resting on a viscoelastic foundation using optimal homotopy analysis method. (English) Zbl 1537.74205 Int. J. Struct. Stab. Dyn. 23, No. 8, Article ID 2350084, 21 p. (2023). MSC: 74K10 74K20 74Pxx × Cite Format Result Cite Review PDF Full Text: DOI
Ghanbari, M.; Allahviranloo, T.; Pedrycz, W.; Nuraei, R. Numerical solution of dual fuzzy Sylvester matrix equations by an iteration method. (English) Zbl 1535.65051 Appl. Comput. Math. 22, No. 4, 382-399 (2023). MSC: 65F45 15A24 15B15 × Cite Format Result Cite Review PDF Full Text: DOI
Kushwah, Prakrati; Saha, Jitraj Solution of population balance equation using homotopy analysis method. (English) Zbl 07827972 Sharma, Rajesh Kumar (ed.) et al., Frontiers in industrial and applied mathematics. Selected papers based on the presentations at the 4th international conference, FIAM-2021, Punjab, India, December 21–22, 2021. Singapore: Springer. Springer Proc. Math. Stat. 410, 37-47 (2023). MSC: 92D25 65H20 × Cite Format Result Cite Review PDF Full Text: DOI
Jehan, Saiqa Shah; Khan, Waris; Fadhl, Bandar M.; Makhdoum, Basim M.; Abbas, Zaheer Dynamics of magnetohydrodynamic nonlinear radiative flow of diamond-\(\mathrm{Co_3 O_4/EG}\) hybrid nanofluid with homogeneous-heterogeneous reactions. (English) Zbl 1537.76177 ZAMM, Z. Angew. Math. Mech. 103, No. 9, Article ID e202200479, 17 p. (2023). MSC: 76V05 76W05 76T20 76M99 80A21 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, Nargis; Hashmi, Muhammad Sadiq; Ghaffar, Abdul; Ullah, Hameed; Inc, Mustafa MHD chemical reactive flow with velocity slip temperature and concentration jump conditions. (English) Zbl 07827214 ZAMM, Z. Angew. Math. Mech. 103, No. 9, Article ID e202200454, 14 p. (2023). MSC: 76W05 76V05 76M99 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Arif, Muhammad; Lone, Showkat Ahmad; Saeed, Anwar; Kumam, Poom; Watthayu, Wiboonsak; Galal, Ahmed M. Thermal analysis of viscoelastic radiative flow of tri-hybrid nanofluid over a rotating disk using different shaped nanoparticles with applications. (English) Zbl 1543.76003 ZAMM, Z. Angew. Math. Mech. 103, No. 9, Article ID e202200182, 19 p. (2023). MSC: 76A10 76T20 76U05 76M99 80A19 80A21 × Cite Format Result Cite Review PDF Full Text: DOI
Mukherjee, Satwik; Shit, Gopal Chandra; Vajravelu, Kuppalapalle Mathematical modeling of graphene-PDMS Maxwell nanofluid flow over a stretching surface: a study on the efficient energy management. (English) Zbl 1536.76141 ZAMM, Z. Angew. Math. Mech. 103, No. 8, Article ID e202200126, 19 p. (2023). MSC: 76T20 76A10 76W05 76M99 80A21 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, Noor Saeed; Hussanan, Abid; Kumam, Wiyada; Kumam, Poom; Suttiarporn, Panawan Accessing the thermodynamics of Walter-B fluid with magnetic dipole effect past a curved stretching surface. (English) Zbl 1535.76118 ZAMM, Z. Angew. Math. Mech. 103, No. 8, Article ID e202100112, 22 p. (2023). MSC: 76W05 76A10 76V05 76S05 76M99 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Alqahtani, Aisha M.; Bilal, Muhammad; Usman, Muhammad; Alsenani, Theyab R.; Ali, Aatif; Mahmuod, Samy Refahy Heat and mass transfer through MHD Darcy Forchheimer Casson hybrid nanofluid flow across an exponential stretching sheet. (English) Zbl 1543.76126 ZAMM, Z. Angew. Math. Mech. 103, No. 6, Article ID e202200213, 16 p. (2023). MSC: 76W05 76S05 76T20 76M99 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Gohar; Saeed, Anwar; Alyami, Maryam Ahmed; Akkurt, Nevzat; Khan, Tahir Saeed; Gul, Taza Ternary hybrid nanofluids flow on a spinning disk with nonlinear thermal radiation. (English) Zbl 1545.76127 ZAMM, Z. Angew. Math. Mech. 103, No. 5, Article ID e202200203, 16 p. (2023). MSC: 76U05 76T20 76W05 76V05 76M99 80A19 80A21 × Cite Format Result Cite Review PDF Full Text: DOI
Prajapati, Vishalkumar J.; Meher, Ramakanta A novel hybrid approach to solve non-linear fractional partial differential equations via new integral transform. (English) Zbl 1534.35430 Linear Nonlinear Anal. 9, No. 3, 231-243 (2023). MSC: 35R11 35A22 35R10 × Cite Format Result Cite Review PDF Full Text: Link
Singh, Brajesh Kumar; Kumar, Anil; Gupta, Mukesh New approximations of space-time fractional Fokker-Planck equations. (English) Zbl 1531.65216 Comput. Methods Differ. Equ. 11, No. 3, 495-521 (2023). MSC: 65M99 35R11 35Q84 × Cite Format Result Cite Review PDF 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 34A45 × Cite Format Result Cite Review PDF Full Text: DOI
Yadav, Pramod Kumar; Yadav, Nitisha A study on the flow of couple stress fluid in a porous curved channel. (English) Zbl 07801652 Comput. Math. Appl. 152, 1-15 (2023). MSC: 76-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Imran, Muhammad; Naveed, Muhammad; Iftikhar, Babar; Abbas, Zaheer Heat transfer analysis in a curvilinear flow of hybrid nanoliquid across a curved oscillatory stretched surface with nonlinear thermal radiation. (English) Zbl 1532.76115 ZAMM, Z. Angew. Math. Mech. 103, No. 11, Article ID e202200600, 13 p. (2023). MSC: 76T20 76W05 76M99 80A19 80A21 × Cite Format Result Cite Review PDF Full Text: DOI
Rashid, Saima; Kubra, Khadija Tul; Abualnaja, Khadijah M. Fractional view of heat-like equations via the Elzaki transform in the settings of the Mittag-Leffler function. (English) Zbl 1531.35366 Math. Methods Appl. Sci. 46, No. 10, 11420-11441 (2023). MSC: 35R11 35A22 × Cite Format Result Cite Review PDF 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 1538.34025 Math. Methods Appl. Sci. 46, No. 10, 11342-11354 (2023). MSC: 34A08 34A45 65L12 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Qiang; Wang, Shuaimin; Xiao, Junfeng; Xu, Hang A Coiflet wavelet homotopy technique for nonlinear PDEs: application to the extreme bending of orthotropic plate with forced boundary constraints. (English) Zbl 1538.65567 Adv. Appl. Math. Mech. 15, No. 6, 1473-1514 (2023). MSC: 65N30 65T60 65D05 41A58 74K20 74B20 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Sathiyapriya, S. P. Existence, uniqueness and convergence of solutions of fuzzy integral equations by using a recursive scheme based on homotopy perturbation method. (English) Zbl 1531.65288 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 30, No. 5, 345-363 (2023). MSC: 65R20 45D05 26E50 × Cite Format Result Cite Review PDF Full Text: Link Link
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: 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Anuprienko, Denis; Svitelman, Valentina Explaining breakthrough behaviour in shale rock: influence of capillary effects and geomechanics. (English) Zbl 1529.65024 Russ. J. Numer. Anal. Math. Model. 38, No. 6, 341-351 (2023). MSC: 65M08 65M06 65N08 65H20 49K40 76S05 76N15 74L10 86A05 35Q86 76M12 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, P.; Lu, D. Q.; Fu, L. D. Steady-state hydroelastic waves generated by a moving load in a uniform current. (English) Zbl 1524.74292 Wave Motion 122, Article ID 103190, 13 p. (2023). MSC: 74J30 65H20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yajie Internal periodic waves in fluids with exponential density distribution along depth. (English) Zbl 1524.76117 Wave Motion 120, Article ID 103168, 12 p. (2023). MSC: 76B55 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Alomari, A. K.; Shraideh, Rula Approximate solution of fractional Allen-Cahn equation by the Mittag-Leffler type kernels. (English) Zbl 1538.65032 Jordan J. Math. Stat. 16, No. 3, 535-549 (2023). MSC: 65D15 35K55 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Quan; Kang, Houjun; Zhao, Yaobing; Cong, Yunyue; Su, Xiaoyang Parametric resonance of multi-frequency excited MEMS based on homotopy analysis method. (English) Zbl 1538.74069 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107351, 16 p. (2023). MSC: 74H45 74K10 74F15 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Lei; Rashid, Saima; Sultana, Sobia; Khalid, Aasma; Agarwal, Praveen; Osman, Mohamed S. Semi-analytical view of time-fractional PDEs with proportional delays pertaining to index and Mittag-Leffler memory interacting with hybrid transforms. (English) Zbl 1522.35563 Fractals 31, No. 4, Article ID 2340071, 22 p. (2023). MSC: 35R11 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Malik, Pradeep; Deepika Stability analysis of fractional order modelling of social media addiction. (English) Zbl 1530.92252 Math. Found. Comput. 6, No. 4, 670-690 (2023). MSC: 92D30 91D30 26A33 34D20 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Yue; Xu, Hang A novel wavelet-homotopy Galerkin method for unsteady nonlinear wave equations. (English) Zbl 1524.76107 Adv. Appl. Math. Mech. 15, No. 4, 964-983 (2023). MSC: 76B15 65M60 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmed, Sohail; Xu, Hang; Sun, Qiang Coiflet wavelet-homotopy solutions to bio-thermal convection in a square cavity. (English) Zbl 1524.65700 Adv. Appl. Math. Mech. 15, No. 3, 684-718 (2023). MSC: 65M99 65T60 76R10 76T20 76Z10 60J65 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Pengjie; Wu, Xiaoyu; Shao, Hu; Zhang, Yan; Cao, Shuhan Three adaptive hybrid derivative-free projection methods for constrained monotone nonlinear equations and their applications. (English) Zbl 07675620 Numer. Linear Algebra Appl. 30, No. 2, e2471, 15 p. (2023). Reviewer: Ctirad Matonoha (Praha) MSC: 65H10 65H20 65K05 90C06 90C30 90C56 × Cite Format Result Cite Review PDF Full Text: DOI
Gui, Tianhao; Yang, Hongwei Application of Euler-Newton homotopy method for azeotrope prediction in vacuum distillation. (English) Zbl 07673460 J. Math. Chem. 61, No. 3, 490-503 (2023). MSC: 80-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Shijun Avoiding small denominator problems by means of the homotopy analysis method. (English) Zbl 1524.65301 Adv. Appl. Math. Mech. 15, No. 2, 267-299 (2023). MSC: 65L99 34A25 34C25 41A58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sartanpara, Parthkumar P.; Meher, Ramakanta Solution of generalised fuzzy fractional Kaup-Kupershmidt equation using a robust multi parametric approach and a novel transform. (English) Zbl 1540.35332 Math. Comput. Simul. 205, 939-969 (2023). MSC: 35Q51 35Q53 35R11 35R13 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Xiaoyu; Wang, Lizhen; Hou, Jie Solving time fractional Keller-Segel type diffusion equations with symmetry analysis, power series method, invariant subspace method and q-homotopy analysis method. (English) Zbl 1540.35017 Chin. J. Phys., Taipei 77, 1639-1653 (2022). MSC: 35B06 35R11 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Okposo, Newton I.; Veeresha, P.; Okposo, Emamuzo. N. Solutions for time-fractional coupled nonlinear Schrödinger equations arising in optical solitons. (English) Zbl 07851679 Chin. J. Phys., Taipei 77, 965-984 (2022). MSC: 35Q55 35Q41 35Q60 78A60 44A10 35A22 35B10 35C10 35A01 35A02 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Fuzhang; Safdar, M.; Jamil, B.; Khan, M. Ijaz; Taj, S.; Malik, M. Y.; Alqahtani, A. S.; Galal, Ahmed M. One-dimensional optimal system of Lie sub-algebra and analytic solutions for a liquid film fluid flow. (English) Zbl 1537.76008 Chin. J. Phys., Taipei 78, 220-233 (2022). MSC: 76A20 76M60 76M55 76M99 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Abbasi, F. M.; Gul, M.; Shanakhat, I.; Anjum, H. J.; Shehzad, S. A. Entropy generation analysis for magnetized peristaltic movement of nanofluid through a non-uniform asymmetric channel with variable thermal conductivity. (English) Zbl 1537.76179 Chin. J. Phys., Taipei 78, 111-131 (2022). MSC: 76W05 76T20 76A05 76M99 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Chandarki, Imran M.; Singh, Brijbhan Homotopy analysis method (HAM) for differential equations pertaining to the mixed convection boundary-layer flow over a vertical surface embedded in a porous medium. (English) Zbl 1540.76042 Malyarenko, Anatoliy (ed.) et al., Stochastic processes, statistical methods, and engineering mathematics. SPAS 2019, Västerås, Sweden, September 30 – October 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 408, 703-717 (2022). MSC: 76D10 76D09 76B99 × Cite Format Result Cite Review PDF Full Text: DOI
Algehyne, Ebrahem A.; Alrihieli, Haifaa F.; Saeed, Anwar; Dawar, Abdullah; Kumam, Poom Cattaneo-Christov heat flux theory toward the magnetohydrodynamic micropolar hybrid nanofluid flow past a stretching/shrinking sheet with non-uniform heat source/sink and thermal radiation. (English) Zbl 1534.76002 ZAMM, Z. Angew. Math. Mech. 102, No. 10, Article ID e202200168, 19 p. (2022). MSC: 76A05 76T20 76W05 80A19 80A21 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, Noor Saeed; Humphries, Usa Wannasingha; Kumam, Wiyada; Kumam, Poom; Muhammad, Taseer Assessment of irreversibility optimization in Casson nanofluid flow with leading edge accretion or ablation. (English) Zbl 1534.76112 ZAMM, Z. Angew. Math. Mech. 102, No. 10, Article ID e202000207, 19 p. (2022). MSC: 76Z05 76T20 76A05 76W05 76M99 80A19 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, Noor Saeed; Humphries, Usa Wannasingha; Kumam, Wiyada; Kumam, Poom; Muhammad, Taseer Bioconvection Casson nanoliquid film sprayed on a stretching cylinder in the portfolio of homogeneous-heterogeneous chemical reactions. (English) Zbl 1534.76095 ZAMM, Z. Angew. Math. Mech. 102, No. 5, Article ID e202000222, 23 p. (2022). MSC: 76V05 76T20 76A20 76S05 76A05 76R10 76Z05 76M99 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Faqir; Khan, Sohail A.; Al-Khaled, Kamel; Khan, M. Ijaz; Khan, Sami Ullah; Shah, Nehad Ali; Ali, Rifaqat Impact of entropy optimized Darcy-Forchheimer flow in \(\mathrm{MnZnFe_2 O_4}\) and \(\mathrm{NiZnFe_2 O_4}\) hybrid Nanofluid towards a curved surface. (English) Zbl 1534.76085 ZAMM, Z. Angew. Math. Mech. 102, No. 3, Article ID e202100194, 14 p. (2022). MSC: 76S05 76T20 80A19 80A17 × Cite Format Result Cite Review PDF Full Text: DOI
Eshkuvatov, Z. K.; Ismail, Sh.; Mamatova, H. X.; Viscarra, D. S.; Aloev, R. D. Modified HAM for solving linear system of Fredholm-Volterra integral equations. (English) Zbl 1533.65255 Malays. J. Math. Sci. 16, No. 1, 87-103 (2022). MSC: 65R20 65D32 65L99 × Cite Format Result Cite Review PDF Full Text: DOI
Veeresha, Pundikala; Akinyemi, Lanre; Oluwasegun, Kayode; Şenol, Mehmet; Oduro, Bismark Numerical surfaces of fractional Zika virus model with diffusion effect of mosquito-borne and sexually transmitted disease. (English) Zbl 1531.92089 Math. Methods Appl. Sci. 45, No. 5, 2994-3013 (2022). MSC: 92D30 35R11 65H20 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Benli, Fatma Berna Analysis of fractional Klein-Gordon-Zakharov equations using efficient method. (English) Zbl 1535.65248 Numer. Methods Partial Differ. Equations 38, No. 3, 525-539 (2022). MSC: 65M99 41A58 44A10 76X05 76Q05 82D10 35R11 35Q55 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI
Arafa, Anas; Hagag, Ahmed A new semi-analytic solution of fractional sixth order Drinfeld-Sokolov-Satsuma-Hirota equation. (English) Zbl 1535.65246 Numer. Methods Partial Differ. Equations 38, No. 3, 372-389 (2022). MSC: 65M99 65M12 37K10 37K35 35A09 35A02 44A10 47H10 26A33 35R11 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Massoun, Youssouf Analytic study of pine wilt disease model with Caputo-Fabrizio fractional derivative. (English) Zbl 1530.92256 Math. Methods Appl. Sci. 45, No. 11, 7072-7080 (2022). MSC: 92D30 34A08 55P99 × Cite Format Result Cite Review PDF Full Text: DOI
Ghosh, Uttam; Das, Tapas; Sarkar, Susmita Homotopy analysis method and time-fractional NLSE with double cosine, Morse, and new hyperbolic potential traps. (English) Zbl 1525.35229 Russ. J. Nonlinear Dyn. 18, No. 2, 309-328 (2022). MSC: 35R11 35A22 35Q55 26A33 × Cite Format Result Cite Review PDF Full Text: DOI MNR
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 × Cite Format Result Cite Review PDF Full Text: DOI
Shyamsunder; Bhatter, Sanjay; Jangid, Kamlesh; Purohit, Sunil Dutt A study of the hepatitis B virus infection using Hilfer fractional derivative. (English) Zbl 1519.92305 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, Spec. Iss., 100-117 (2022). MSC: 92D30 26A33 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Khalouta, Ali A novel iterative method to solve nonlinear wave-like equations of fractional order with variable coefficients. (English) Zbl 1516.35462 Rev. Colomb. Mat. 56, No. 1, 13-34 (2022). MSC: 35R11 35L05 26A33 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Kumbinarasaiah, S.; Preetham, M. P. A study on homotopy analysis method and clique polynomial method. (English) Zbl 1538.65222 Comput. Methods Differ. Equ. 10, No. 3, 774-788 (2022). MSC: 65L99 34A12 41A10 34A45 × Cite Format Result Cite Review PDF Full Text: DOI
Bokhari, Ahmed; Baleanu, Dumitru; Belgacem, Rachid Regularized Prabhakar derivative for partial differential equations. (English) Zbl 1538.35421 Comput. Methods Differ. Equ. 10, No. 3, 726-737 (2022). MSC: 35R11 26A33 65R10 33E12 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Yazdani, Cherati Allahbakhsh; Azimi, Allahbakhsh Investigating the effect of volume fraction, Reynolds number and dilation rate of permeable wall of vessel on the heat transfer flow of gold/copper nanofluid of blood using the Adomian decomposition method. (Persian. English summary) Zbl 1506.76229 JAMM, J. Adv. Math. Model. 12, No. 3, 402-413 (2022). MSC: 76Z05 76T20 76S05 76M99 80A19 92C35 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Yousefi, Batoul; Baradaran, Hossein A homotopy analysis solution to large deformation of a nanowire based on nonlocal elasticity theory. (English) Zbl 1498.74046 Comput. Appl. Math. 41, No. 7, Paper No. 316, 19 p. (2022). MSC: 74K10 74B99 74G10 × Cite Format Result Cite Review PDF Full Text: DOI
Karthik, A.; Kumar, P. T. V. Praveen; Radhika, T. S. L. A mathematical model for blood flow accounting for the hematological disorders. (English) Zbl 1498.92073 Comput. Math. Biophys. 10, No. 1, 184-198 (2022). MSC: 92C35 92C32 92-10 62P10 65H20 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmed, Sohail; Xu, Hang; Wang, An-Yang; Chen, Qing-Bo Highly accurate Coiflet wavelet-homotopy solution of Jeffery-Hamel problem at extreme parameters. (English) Zbl 1504.76102 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 5, Article ID 2250013, 23 p. (2022). MSC: 76W05 76M45 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Jawad, Muhammad; Boulaaras, Salah; Shah, Niaz Ali; Jan, Rashid; Zubair, Sulima Ahmed Analytic simulation for magnetohydrodynamic unsteady Buongiorno model hybrid nanofluid flow over stretching. (English) Zbl 1517.76076 Adv. Math. Phys. 2022, Article ID 6423730, 16 p. (2022). MSC: 76W05 76T20 76R05 76R10 80A19 80A21 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Xiaoyu; Wang, Lizhen; Shen, Shoufeng On analytical solutions of the conformable time-fractional Navier-Stokes equation. (English) Zbl 07566281 Rep. Math. Phys. 89, No. 3, 335-358 (2022). MSC: 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Çetinkaya, Süleyman; Demir, Ali Solutions of fuzzy time fractional heat equation. (English) Zbl 1524.35681 J. Math. Ext. 16, No. 6, Paper No. 3, 17 p. (2022). MSC: 35R11 26A33 44A05 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Ying; Wei, Yimin; Ye, Qi A homotopy method for multikernel-based approximation. (English) Zbl 07556349 J. Nonlinear Var. Anal. 6, No. 2, 139-154 (2022). MSC: 47-XX 46-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zafar, Husna; Ali, Amir; Khan, Khalid; Sadiq, Muhammad Noveel Analytical solution of time fractional Kawahara and modified Kawahara equations by homotopy analysis method. (English) Zbl 1499.65605 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 94, 18 p. (2022). MSC: 65M99 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Manoj A hybrid method to solve time-space fractional PDEs with proportional delay. (English) Zbl 07541682 Int. J. Appl. Comput. Math. 8, No. 2, Paper No. 72, 15 p. (2022). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Jyoti; Singh, Mandeep An iterative technique based on HPM for a class of one dimensional Bratu’s type problem. (English) Zbl 1540.65224 Math. Comput. Simul. 200, 50-64 (2022). MSC: 65L10 34B15 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Panda, A.; Santra, S.; Mohapatra, J. Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations. (English) Zbl 1490.35523 J. Appl. Math. Comput. 68, No. 3, 2065-2082 (2022). MSC: 35R11 35R09 35A22 65R20 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Jan, Wajid Ullah; Farooq, Muhammad; Khan, Aamir; Alharbi, Asma; Shah, Rehan Ali; Jan, Rashid; Idris, Sahar Ahmed A parametric analysis of the effect of hybrid nanoparticles on the flow field and homogeneous-heterogeneous reaction between squeezing plates. (English) Zbl 1494.76080 Adv. Math. Phys. 2022, Article ID 2318436, 22 p. (2022). MSC: 76R05 76R10 76S05 76T20 76V05 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Elsayed, E. M.; Shah, Rasool; Nonlaopon, Kamsing The analysis of the fractional-order Navier-Stokes equations by a novel approach. (English) Zbl 1489.35298 J. Funct. Spaces 2022, Article ID 8979447, 18 p. (2022). MSC: 35R11 35A22 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: Link
Kaur, Gurmeet; Singh, Randhir; Briesen, Heiko Approximate solutions of aggregation and breakage population balance equations. (English) Zbl 1491.45014 J. Math. Anal. Appl. 512, No. 2, Article ID 126166, 27 p. (2022). MSC: 45K05 45L05 65H20 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Obalalu, Adebowale Martins Chemical entropy generation and second-order slip condition on hydrodynamic Casson nanofluid flow embedded in a porous medium: a fast convergent method. (English) Zbl 1487.76108 J. Egypt. Math. Soc. 30, Paper No. 6, 25 p. (2022). MSC: 76V05 76A05 76S05 76T20 76M99 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Nehad Ali; Agarwal, Praveen; Chung, Jae Dong; Althobaiti, Saad; Sayed, Samy; Aljohani, A. F.; Alkafafy, Mohamed Analysis of time-fractional Burgers and diffusion equations by using modified \(q\)-HATM. (English) Zbl 07490648 Fractals 30, No. 1, Article ID 2240012, 12 p. (2022). MSC: 65Mxx 26Axx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI