How to cite this paper
Johansyah, M., Supriatna, A., Rusyaman, E & Saputra, J. (2022). Modelling of natural growth with memory effect in economics: An application of adomian decomposition and variational iteration methods.Decision Science Letters , 11(1), 73-80.
Refrences
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Anidiobu, G. A., Okolie, P. I. P., & Oleka, D. C. (2018). Analysis of inflation and its effect on economic growth in Nigeria. Journal of Economics and Finance, 9(1), 28-36.
Gbadamosi, B., Adebimpe, O., Akinola, E. I., & Olopade, I. A. (2012). Solving Riccati equation using Adomian decomposition method. International Journal of Pure and Applied Mathematics, 78(3), 409-417.
He, J. H. (1999). Variational iteration method–a kind of non-linear analytical technique: some examples. International Journal of Non-linear Mechanics, 34(4), 699-708.
Merdan, M. (2012). On the solutions fractional Riccati differential equation with modified Riemann-Liouville derivative. International Journal of Differential Equations, 17.
Podlubny, I. (1998). Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Elsevier.
Saad, K. M., Al-Shomrani, A. A., Mohamed, M. S., & Yang, X. J. (2016). Solving fractional order logistic equation by approximate analytical methods. International Journal of Open Problems in Computer Science and Mathematics, 238(4025), 1-16.
Sukono, Subartin, B., Ambarwati, Saputra, J., Hidayat, Y. (2019). Forecasting model of gross regional domestic product (GRDP) using backpropagation of Levenberg-Marguardt method. Industrial Engineering and Management Systems, 18(3), 530–540.
Sukono,, Albra, W., Zulham, T., Saputra, J., Subartini, B., Thalia, F. (2019). The effect of gross domestic product and population growth on CO2 emissions in Indonesia: An application of the ant colony optimisation algorithm and cobb-douglas model. International Journal of Energy Economics and Policy, 9(4), 313–319.
Tarasov, V. E. (2011). Fractional dynamics: applications of fractional calculus to dynamics of particles, fields and media. Springer Science & Business Media.
Tarasov, V. E., & Tarasova, V. V. (2016). Long and short memory in economics: fractional-order difference and differentiation, IRA-International Journal of Management and Social Sciences, 5(2), 327-334.
Tarasov, V. E., & Tarasova, V. V. (2016). Marginal utility for economic processes with memory. Almanac of Modern Science and Education, 7(109), 108-113.
Tarasov, V. E., & Tarasova, V. V. (2021). Economic Dynamics with Memory: Fractional Calculus Approach (Vol. 8). Walter de Gruyter GmbH & Co KG.
Tarasova, V. V., & Tarasov, V. E. (2016). Criteria of hereditarity of economic process and the memory effect. Molodoj Uchenyj (Young Scientist), 14(118), 396-9.
Tarasova, V. V., & Tarasov, V. E. (2016). Economic accelerator with memory: discrete time approach. arXiv preprint arXiv:1612.07913.
Tarasova, V. V., & Tarasov, V. E. (2016). Economic indicator that generalises average and marginal values. Ekonomika i Predprinimatelstvo (Journal of Economy and Entrepreneurship), (11-1), 76-1.
Tarasova, V. V., & Tarasov, V. E. (2016). Fractional dynamics of natural growth and memory effect in economics. European Research, 12(23), 30-37.
Valentina, T., & Vasily, T. (2016). Economic accelerator with memory: discrete time approach. Проблемы современной науки и образования, 36(78).
Volterra, V. (2005). Theory of functionals and of integral and integro-differential equations. Dover Publications.
Wainwright, K. (2005). Fundamental methods of mathematical economics. McGraw-Hill/Irwin.
Anidiobu, G. A., Okolie, P. I. P., & Oleka, D. C. (2018). Analysis of inflation and its effect on economic growth in Nigeria. Journal of Economics and Finance, 9(1), 28-36.
Gbadamosi, B., Adebimpe, O., Akinola, E. I., & Olopade, I. A. (2012). Solving Riccati equation using Adomian decomposition method. International Journal of Pure and Applied Mathematics, 78(3), 409-417.
He, J. H. (1999). Variational iteration method–a kind of non-linear analytical technique: some examples. International Journal of Non-linear Mechanics, 34(4), 699-708.
Merdan, M. (2012). On the solutions fractional Riccati differential equation with modified Riemann-Liouville derivative. International Journal of Differential Equations, 17.
Podlubny, I. (1998). Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Elsevier.
Saad, K. M., Al-Shomrani, A. A., Mohamed, M. S., & Yang, X. J. (2016). Solving fractional order logistic equation by approximate analytical methods. International Journal of Open Problems in Computer Science and Mathematics, 238(4025), 1-16.
Sukono, Subartin, B., Ambarwati, Saputra, J., Hidayat, Y. (2019). Forecasting model of gross regional domestic product (GRDP) using backpropagation of Levenberg-Marguardt method. Industrial Engineering and Management Systems, 18(3), 530–540.
Sukono,, Albra, W., Zulham, T., Saputra, J., Subartini, B., Thalia, F. (2019). The effect of gross domestic product and population growth on CO2 emissions in Indonesia: An application of the ant colony optimisation algorithm and cobb-douglas model. International Journal of Energy Economics and Policy, 9(4), 313–319.
Tarasov, V. E. (2011). Fractional dynamics: applications of fractional calculus to dynamics of particles, fields and media. Springer Science & Business Media.
Tarasov, V. E., & Tarasova, V. V. (2016). Long and short memory in economics: fractional-order difference and differentiation, IRA-International Journal of Management and Social Sciences, 5(2), 327-334.
Tarasov, V. E., & Tarasova, V. V. (2016). Marginal utility for economic processes with memory. Almanac of Modern Science and Education, 7(109), 108-113.
Tarasov, V. E., & Tarasova, V. V. (2021). Economic Dynamics with Memory: Fractional Calculus Approach (Vol. 8). Walter de Gruyter GmbH & Co KG.
Tarasova, V. V., & Tarasov, V. E. (2016). Criteria of hereditarity of economic process and the memory effect. Molodoj Uchenyj (Young Scientist), 14(118), 396-9.
Tarasova, V. V., & Tarasov, V. E. (2016). Economic accelerator with memory: discrete time approach. arXiv preprint arXiv:1612.07913.
Tarasova, V. V., & Tarasov, V. E. (2016). Economic indicator that generalises average and marginal values. Ekonomika i Predprinimatelstvo (Journal of Economy and Entrepreneurship), (11-1), 76-1.
Tarasova, V. V., & Tarasov, V. E. (2016). Fractional dynamics of natural growth and memory effect in economics. European Research, 12(23), 30-37.
Valentina, T., & Vasily, T. (2016). Economic accelerator with memory: discrete time approach. Проблемы современной науки и образования, 36(78).
Volterra, V. (2005). Theory of functionals and of integral and integro-differential equations. Dover Publications.
Wainwright, K. (2005). Fundamental methods of mathematical economics. McGraw-Hill/Irwin.