[1] |
Baghdadi, G., Jafari, S., Sprott, J. C., Towhidkhah, F. and Golpayegani, M. H., A chaotic model of sustaining attention problem in attention deficit disorder, Commun. Nonlinear Sci. Numer. Simul.20(1) (2015) 174-185. · Zbl 1304.37064 |
[2] |
Sprott, J. C., Dynamical models of happiness, Nonlinear Dyn. Psychol. Life Sci.9(1) (2005) 23-36. |
[3] |
Jafari, S., Ansari, Z., Golpayegani, S. M. R. H. and Gharibzadeh, S., Is attention a “period window” in the chaotic brain?, J. Neuropsychiatry Clin. Neurosci.25(1) (2013) E05. |
[4] |
Tabatabaei, S. S., Yazdanpanah, M. J., Jafari, S. and Sprott, J. C., Extensions in dynamic models of happiness: Effect of memory, Int. J. Happiness Dev.1(4) (2014) 344-356. |
[5] |
Liao, X. and Ran, J., Hopf bifurcation in love dynamical models with nonlinear couples and time delays, Chaos Solitons Fractals31(4) (2007) 853-865. · Zbl 1152.34060 |
[6] |
Dercole, F. and Rinaldi, S., Love stories can be unpredictable: Jules et Jim in the vortex of life, Chaos24(2) (2014) 023134. |
[7] |
Breitenecker, F., Judex, F., Popper, N., Breitenecker, K., Mathe, A. and Mathe, A., Love emotions between laura and petrarchan approach by mathematics and system dynamics, J. Comput. Inf. Technol.16(4) (2008) 255-269. |
[8] |
Rozhansky, V. A. and Tsendin, L. D., Transport Phenomena in Partially Ionized Plasma (CRC Press, 2001). |
[9] |
Alves-Pires, R., Nonlinear Dynamics in Particle Accelerators, Vol. 23 (World Scientific, 1996). · Zbl 0924.58091 |
[10] |
Newell, A. and Moloney, J., Nonlinear Optics (Addison-Wesley, Reading, Massachusetts, 1992). · Zbl 1054.78001 |
[11] |
Cveticanin, L., Resonant vibrations of nonlinear rotors, Mech. Mach. Theory30(4) (1995) 581-588. |
[12] |
Farman, M., Akgül, A., Aldosary, S. F., Nisar, K. S. and Ahmad, A., Fractional order model for complex Layla and Majnun love story with chaotic behaviour, Alexandria Eng. J.61(9) (2022) 6725-6738. |
[13] |
Sabir, Z., Umar, M., Raja, M. A. Z., Baskonus, H. M. and Gao, W., Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system, Int. J. Biomath.15(04) (2022) 2250012. · Zbl 1492.92111 |
[14] |
Ahmad, S., Ullah, A., Akgül, A. and Baleanu, D., Theoretical and numerical analysis of fractal fractional model of tumor-immune interaction with two different kernels, Alexandria Eng. J.61(7) (2022) 5735-5752. |
[15] |
Xuan, L., Ahmad, S., Ullah, A., Saifullah, S., Akgül, A. and Qu, H., Bifurcations, stability analysis and complex dynamics of Caputo fractal-fractional cancer model, Chaos Solitons Fractals159 (2022) 112113. · Zbl 1505.37104 |
[16] |
Safdar, R., Jawad, M., Hussain, S., Imran, M., Akgül, A. and Jamshed, W., Thermal radiative mixed convection flow of MHD Maxwell nanofluid: Implementation of Buongiorno’s model, Chin. J. Phys.77 (2022) 1465-1478. · Zbl 07851716 |
[17] |
Akgül, A. and Partohaghighi, M., New fractional modelling and control analysis of the circumscribed self-excited spherical strange attractor, Chaos Solitons Fractals158 (2022) 111956. · Zbl 1505.34100 |
[18] |
Liu, X., Ahmad, S., ur Rahman, M., Nadeem, Y. and Akgül, A., Analysis of a TB and HIV co-infection model under Mittag-Leffler fractal-fractional derivative, Phys. Scr.97(5) (2022) 054011. |
[19] |
Goufo, E. F. D., Ravichandran, C. and Birajdar, G. A., Self-similarity techniques for chaotic attractors with many scrolls using step series switching, Math. Model. Anal.26(4) (2021) 591-611. · Zbl 1497.28004 |
[20] |
Logeswari, K., Ravichandran, C. and Nisar, K. S., Mathematical model for spreading of COVID-19 virus with the Mittag-Leffler kernel, Numerical Methods for Partial Differential Equations (2020), https://doi.org/10.1002/num.22652. · Zbl 1531.92082 |
[21] |
Nisar, K. S., Logeswari, K., Vijayaraj, V., Baskonus, H. M. and Ravichandran, C., Fractional order modeling the Gemini Virus in capsicum annuum with optimal control, Fractal Fract.6(2) (2022) 61. |
[22] |
Jumani, T. A., Mustafa, M. W., Hussain, Z., Rasid, M. M., Saeed, M. S., Memon, M. M., Khan, I. and Nisar, K. S., Jaya optimization algorithm for transient response and stability enhancement of a fractional-order PID based automatic voltage regulator system, Alexandria Eng. J.59(4) (2020) 2429-2440. |
[23] |
Rahman, G., Ullah, Z., Khan, A., Set, E. and Nisar, K. S., Certain Chebyshev-type inequalities involving fractional conformable integral operators, Mathematics7(4) (2019) 364. |
[24] |
Farman, M., Ahmad, A., Akgül, A., Saleem, M. U., Nisar, K. S. and Vijayakumar, V., Dynamical behavior of tumor-immune system with fractal-fractional operator, AIMS Math.7(5) (2022) 8751-8773. |
[25] |
Yao, S. W., Farman, M., Amin, M., Inc, M., Akgül, A. and Ahmad, A., Fractional order COVID 19 model with transmission rout infected through environment, AIMS Math.7(4) (2022) 5156-5174. |
[26] |
Farman, M., Akgül, A., Tekin, M. T., Akram, M. M., Ahmad, A., Mahmoud, E. E. and Yahia, I. S., Fractal fractional-order derivative for HIV/AIDS model with Mittag-Leffler kernel, Alexandria Eng. J.61(12) (2022) 10965-10980. |
[27] |
Farman, M., Aslam, M., Akgül, A. and Jarad, F., On solutions of the stiff differential equations in chemistry kinetics with fractal-fractional derivatives, J. Comput. Nonlinear Dyn.17(7) (2022) 071007. |
[28] |
Cveticanin, L., Approximate analytical solutions to a class of non-linear equations with complex functions, J. Sound Vib.157(2) (1992) 289-302. · Zbl 0925.73604 |
[29] |
Mahmoud, G. M. and Aly, S. A., On periodic solutions of parametrically excited complex non-linear dynamical systems, Physica A278(3-4) (2000) 390-404. |
[30] |
Wu, X., Xu, Y. and Zhang, H., Random impacts of a complex damped system, Int. J. Non-Linear Mech.46(5) (2011) 800-806. |
[31] |
Awan, S. E.et al., Numerical treatments to analyze the nonlinear radiative heat transfer in MHD nanofluid flow with solar energy, Arabian J. Sci. Eng.45(6) (2020) 4975-4994. |
[32] |
Awan, S. E.et al., Numerical computing paradigm for investigation of micropolar nanofluid flow between parallel plates system with impact of electrical MHD and Hall current, Arabian J. Sci. Eng.46(1) (2021) 645-662. |
[33] |
Shoaib, M.et al., Numerical investigation for rotating flow of MHD hybrid nanofluid with thermal radiation over a stretching sheet, Sci. Rep.10(1) (2020) 1-15. |
[34] |
Jafari, S., Sprott, J. C. and Golpayegani, S. M. R. H., Layla and Majnun: A complex love story, Nonlinear Dyn.83(1) (2016) 615-622. |
[35] |
Kumar, P., Erturk, V. S. and Murillo-Arcila, M., A complex fractional mathematical modeling for the love story of Layla and Majnun, Chaos Solitons Fractals150 (2021) 111091. |
[36] |
Sabir, Z., Raja, M. A. Z., Guirao, J. L. and Saeed, T., Swarm intelligence procedures using Meyer wavelets as a neural network for the novel fractional order pantograph singular system, Fractal Fract.5(4) (2021) 277. |
[37] |
Junsawang, P., Zuhra, S., Sabir, Z., Raja, M. A. Z., Shoaib, M., Botmart, T. and Weera, W., Numerical simulations of vaccination and Wolbachia on dengue transmission dynamics in the nonlinear model, IEEE Access10 (2022) 31116-31144. |
[38] |
Raja, M. A. Z., Shoaib, M., Hussain, S., Nisar, K. S. and Islam, S., Computational intelligence of Levenberg-Marquardt backpropagation neural networks to study thermal radiation and Hall effects on boundary layer flow past a stretching sheet, Int. Commun. Heat Mass Transfer130 (2022) 105799. |
[39] |
Sabir, Z.et al., Numerical investigations of the nonlinear smoke model using the Gudermannian neural networks, Math. Biosci. Eng.19(1) (2022) 351-370. · Zbl 1489.92174 |
[40] |
Sabir, Z.et al., An efficient stochastic numerical computing framework for the nonlinear higher order singular models, Fractal Fract.5(4) (2021) 176. |
[41] |
Sabir, Z.et al., Design of Morlet wavelet neural network for solving the higher order singular nonlinear differential equations, Alexandria Eng. J.60(6) (2021) 5935-5947. |
[42] |
Umar, M.et al., A stochastic intelligent computing with neuro-evolution heuristics for nonlinear SITR system of novel COVID-19 dynamics, Symmetry12(10) (2020) 1628. |
[43] |
Umar, M.et al., Integrated neuro-swarm heuristic with interior-point for nonlinear SITR model for dynamics of novel COVID-19, Alexandria Eng. J.60(3) (2021) 2811-2824. |
[44] |
Umar, M.et al., Neuro-swarm intelligent computing paradigm for nonlinear HIV infection model with CD4+ T-cells, Math. Comput. Simul.188 (2021) 241-253. · Zbl 1540.92242 |
[45] |
Umar, M.et al., A novel study of Morlet neural networks to solve the nonlinear HIV infection system of latently infected cells, Results Phys.25 (2021) 104235. |
[46] |
Shoaib, M.et al., Heat transfer impacts on Maxwell nanofluid flow over a vertical moving surface with MHD using stochastic numerical technique via artificial neural networks, Coatings11(12) (2021) 1483. |
[47] |
Shoaib, M.et al., Intelligent computing with Levenberg-Marquardt backpropagation neural networks for third-grade nanofluid over a stretched sheet with convective conditions, Arabian J. Sci. Eng.47 (2022) 8211-8229. |
[48] |
Sabir, Z.et al., A neuro-swarming intelligence-based computing for second order singular periodic non-linear boundary value problems, Front. Phys.8 (2020) 224. |
[49] |
Umar, M.et al., A stochastic numerical computing heuristic of SIR nonlinear model based on dengue fever, Results Phys.19 (2020) 103585. |
[50] |
Sabir, Z., Guirao, J. L. and Saeed, T., Solving a novel designed second order nonlinear Lane-Emden delay differential model using the heuristic techniques, Appl. Soft Comput.102 (2021) 107105. |
[51] |
Tao, Z., Huiling, L., Wenwen, W. and Xia, Y., GA-SVM based feature selection and parameter optimization in hospitalization expense modeling, Appl. Soft Comput.75 (2019) 323-332. |
[52] |
Sabir, Z., Manzar, M. A., Raja, M. A. Z., Sheraz, M. and Wazwaz, A. M., Neuro-heuristics for nonlinear singular Thomas-Fermi systems, Appl. Soft Comput.65 (2018) 152-169. |
[53] |
Ilbeigi, M., Ghomeishi, M. and Dehghanbanadaki, A., Prediction and optimization of energy consumption in an office building using artificial neural network and a genetic algorithm, Sustain. Cities Soc.61 (2020) 102325. |
[54] |
Altaf, F.et al., Adaptive evolutionary computation for nonlinear Hammerstein control autoregressive systems with key term separation principle, Mathematics10(6) (2022) 1001. |
[55] |
Mehmood, A.et al., Integrated computational intelligent paradigm for nonlinear electric circuit models using neural networks, genetic algorithms and sequential quadratic programming, Neural Comput. Appl.32(14) (2020) 10337-10357. |
[56] |
Sabir, Z., Khalique, C. M., Raja, M. A. Z. and Baleanu, D., Evolutionary computing for nonlinear singular boundary value problems using neural network, genetic algorithm and active-set algorithm, Eur. Phys. J. Plus136(2) (2021) 1-19. |
[57] |
Sabir, Z., Stochastic numerical investigations for nonlinear three-species food chain system, Int. J. Biomath.15(4) (2022) 2250005. · Zbl 1492.92136 |
[58] |
He, X. and Yang, P., The primal-dual active set method for a class of nonlinear problems with T-monotone operators, Math. Probl. Eng.2019 (2019) 2912301. · Zbl 1435.90134 |
[59] |
Raja, M. A. Z., Umar, M., Sabir, Z., Khan, J. A. and Baleanu, D., A new stochastic computing paradigm for the dynamics of nonlinear singular heat conduction model of the human head, Eur. Phys. J. Plus133(9) (2018) 1-21. |
[60] |
Umar, M., Raja, M. A. Z., Sabir, Z., Alwabli, A. S. and Shoaib, M., A stochastic computational intelligent solver for numerical treatment of mosquito dispersal model in a heterogeneous environment, Eur. Phys. J. Plus135(7) (2020) 1-23. |
[61] |
Naz, S.et al., Neuro-intelligent networks for Bouc-Wen hysteresis model for piezostage actuator, Eur. Phys. J. Plus136(4) (2021) 1-20. |
[62] |
Sabir, Z., Raja, M. A. Z. and Baleanu, D., Fractional mayer neuro-swarm heuristic solver for multi-fractional order doubly singular model based on Lane-Emden equation, Fractals29(5) (2021) 2140017. · Zbl 1481.65104 |
[63] |
Sabir, Z., Baleanu, D., Raja, M. A. Z. and Guirao, J. L., Design of neuro-swarming heuristic solver for multi-pantograph singular delay differential equation, Fractals29(5) (2021) 2140022. · Zbl 1481.65098 |
[64] |
Bukhari, A. H.et al., Design of intelligent computing networks for nonlinear chaotic fractional Rossler system, Chaos Solitons Fractals157 (2022) 111985. · Zbl 1498.34167 |
[65] |
Kiani, A. K., Khan, W. U., Raja, M. A. Z., He, Y., Sabir, Z. and Shoaib, M., Intelligent backpropagation networks with bayesian regularization for mathematical models of environmental economic systems, Sustainability13(17) (2021) 9537. |
[66] |
Wang, B.et al., Numerical computing to solve the nonlinear corneal system of eye surgery using the capability of Morlet wavelet artificial neural networks, Fractals30 (2022) 2240147. · Zbl 07578007 |
[67] |
Wang, B.et al., Gudermannian neural networks to investigate the Lienard differential model, Fractals30 (2022) 2250050. · Zbl 07537366 |
[68] |
Sabir, Z., Raja, M. A. Z., Guirao, J. L. and Saeed, T., Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model, Chaos Solitons Fractals152 (2021) 111404. · Zbl 1503.65152 |