Rules for Fractional-Dynamic Generalizations: Difficulties of Constructing Fractional Dynamic Models
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Hameed Ur Rehman & Maslina Darus & Jamal Salah, 2018. "A Note on Caputo’s Derivative Operator Interpretation in Economy," Journal of Applied Mathematics, Hindawi, vol. 2018, pages 1-7, October.
- Sadeghi, Amir & Cardoso, João R., 2018. "Some notes on properties of the matrix Mittag-Leffler function," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 733-738.
- Luciano Fanti & Piero Manfredi, 2003. "The Solow¡¯S Model With Endogenous Population: A Neoclassical Growth Cycle Model," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 28(2), pages 103-115, December.
- Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Accelerators in macroeconomics: Comparison of discrete and continuous approaches," Papers 1712.09605, arXiv.org.
- Tarasova, Valentina V. & Tarasov, Vasily E., 2017. "Logistic map with memory from economic model," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 84-91.
- Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Economic Growth Model with Constant Pace and Dynamic Memory," Papers 1701.06299, arXiv.org, revised Apr 2019.
- Hajime Hori, 2017. "Business Cycle Dynamics and Stabilization Policies," Advances in Japanese Business and Economics, Springer, number 978-981-10-3081-9, June.
- Solow, Robert M., 1999. "Neoclassical growth theory," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 9, pages 637-667, Elsevier.
- Tarasov, Vasily E. & Tarasova, Valentina V., 2018. "Macroeconomic models with long dynamic memory: Fractional calculus approach," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 466-486.
- Hajime Hori, 2017. "Stabilization Policies and Business Cycle Dynamics," Advances in Japanese Business and Economics, in: Business Cycle Dynamics and Stabilization Policies, chapter 0, pages 77-135, Springer.
- J. A. Tenreiro Machado & Alexandra M. S. F. Galhano & Juan J. Trujillo, 2014. "On development of fractional calculus during the last fifty years," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(1), pages 577-582, January.
- Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Economic interpretation of fractional derivatives," Papers 1712.09575, arXiv.org.
- Area, Iván & Losada, Jorge & Nieto, Juan J., 2016. "A note on the fractional logistic equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 182-187.
- A. Chian, 2007. "Complex Systems Approach to Economic Dynamics," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-39753-3, December.
- Nicholas Kaldor, 1961. "Capital Accumulation and Economic Growth," International Economic Association Series, in: D. C. Hague (ed.), The Theory of Capital, chapter 0, pages 177-222, Palgrave Macmillan.
- Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
- Chen, Juhn-Horng & Chen, Wei-Ching, 2008. "Chaotic dynamics of the fractionally damped van der Pol equation," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 188-198.
- T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
- West, Bruce J., 2015. "Exact solution to fractional logistic equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 103-108.
- Leeson,Robert (ed.), 2000. "A. W. H. Phillips: Collected Works in Contemporary Perspective," Cambridge Books, Cambridge University Press, number 9780521571357, January.
- Matsumoto, Akio & Szidarovszky, Ferenc, 2015. "Nonlinear multiplier–accelerator model with investment and consumption delays," Structural Change and Economic Dynamics, Elsevier, vol. 33(C), pages 1-9.
- Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Risk Aversion for Investors with Memory: Hereditary Generalizations of Arrow-Pratt Measure," Finansovyj žhurnal — Financial Journal, Financial Research Institute, Moscow 125375, Russia, issue 2, pages 46-63, April.
- Chian, Abraham C.-L. & Rempel, Erico L. & Rogers, Colin, 2006. "Complex economic dynamics: Chaotic saddle, crisis and intermittency," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1194-1218.
- Vasily E. Tarasov & Valentina V. Tarasova, 2017. "Accelerators in Macroeconomics: Comparison of Discrete and Continuous Approaches," American Journal of Economics and Business Administration, Science Publications, vol. 9(3), pages 47-55, November.
- Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Logistic map with memory from economic model," Papers 1712.09092, arXiv.org.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Vasily E. Tarasov, 2024. "General Fractional Economic Dynamics with Memory," Mathematics, MDPI, vol. 12(15), pages 1-24, August.
- Vasily E. Tarasov, 2020. "Exact Solutions of Bernoulli and Logistic Fractional Differential Equations with Power Law Coefficients," Mathematics, MDPI, vol. 8(12), pages 1-11, December.
- Vasily E. Tarasov, 2020. "Non-Linear Macroeconomic Models of Growth with Memory," Mathematics, MDPI, vol. 8(11), pages 1-22, November.
- Monica Aureliana Petcu & Liliana Ionescu-Feleaga & Bogdan-Ștefan Ionescu & Dumitru-Florin Moise, 2023. "A Decade for the Mathematics : Bibliometric Analysis of Mathematical Modeling in Economics, Ecology, and Environment," Mathematics, MDPI, vol. 11(2), pages 1-30, January.
- Vasily E. Tarasov, 2021. "General Fractional Dynamics," Mathematics, MDPI, vol. 9(13), pages 1-26, June.
- Vasily E. Tarasov & Svetlana S. Tarasova, 2020. "Fractional Derivatives and Integrals: What Are They Needed For?," Mathematics, MDPI, vol. 8(2), pages 1-22, January.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Vasily E. Tarasov, 2019. "On History of Mathematical Economics: Application of Fractional Calculus," Mathematics, MDPI, vol. 7(6), pages 1-28, June.
- Tarasov, Vasily E. & Tarasova, Valentina V., 2018. "Macroeconomic models with long dynamic memory: Fractional calculus approach," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 466-486.
- Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Concept of dynamic memory in economics," Papers 1712.09088, arXiv.org.
- Area, I. & Nieto, J.J., 2021. "Power series solution of the fractional logistic equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
- Vasily E. Tarasov, 2020. "Exact Solutions of Bernoulli and Logistic Fractional Differential Equations with Power Law Coefficients," Mathematics, MDPI, vol. 8(12), pages 1-11, December.
- Vasily E. Tarasov, 2020. "Non-Linear Macroeconomic Models of Growth with Memory," Mathematics, MDPI, vol. 8(11), pages 1-22, November.
- José A. Tenreiro Machado & Maria Eugénia Mata & António M. Lopes, 2020. "Fractional Dynamics and Pseudo-Phase Space of Country Economic Processes," Mathematics, MDPI, vol. 8(1), pages 1-17, January.
- van de Klundert, T.C.M.J. & Smulders, J.A., 1991.
"Reconstructing growth theory : A survey,"
Other publications TiSEM
19355c51-17eb-4d5d-aa66-b, Tilburg University, School of Economics and Management.
- van de Klundert, T.C.M.J. & Smulders, J.A., 1993. "Reconstructing growth theory : A survey," Other publications TiSEM ed4275fb-b14f-4175-a63f-6, Tilburg University, School of Economics and Management.
- Smulders, J.A. & van de Klundert, T.C.M.J., 1992. "Reconstructing growth theory : A survey," Other publications TiSEM 0f3091a3-a914-470c-8a90-2, Tilburg University, School of Economics and Management.
- Van de Klundert, T. & Smulders, S., 1991. "Recontructing Growth Theory : A Survey," Papers 9146, Tilburg - Center for Economic Research.
- van de Klundert, T.C.M.J. & Smulders, J.A., 1991. "Reconstructing growth theory : A survey," Discussion Paper 1991-46, Tilburg University, Center for Economic Research.
- repec:ebl:ecbull:v:2:y:2002:i:1:p:1-15 is not listed on IDEAS
- Gregory Casey & Ryo Horii, 2019.
"A Multi-factor Uzawa Growth Theorem and Endogenous Capital-Augmenting Technological Change,"
ISER Discussion Paper
1051, Institute of Social and Economic Research, Osaka University.
- Gregory Casey & Ryo Horii, 2019. "A Multi-factor Uzawa Growth Theorem and Endogenous Capital-Augmenting Technological Change," 2019 Meeting Papers 1458, Society for Economic Dynamics.
- Wei-Bin Zhang, 2017. "Growth with Endogenous Capital, Knowledge, and Renewable Resources," Romanian Statistical Review, Romanian Statistical Review, vol. 65(1), pages 19-37, March.
- Luigi L. Pasinetti, 2000. "Critique of the neoclassical theory of growth and distribution," BNL Quarterly Review, Banca Nazionale del Lavoro, vol. 53(215), pages 383-431.
- Vasily E. Tarasov, 2021. "Integral Equations of Non-Integer Orders and Discrete Maps with Memory," Mathematics, MDPI, vol. 9(11), pages 1-12, May.
- Donald A. R. George & Les Oxley & Ken Carlaw, 2003. "Economic Growth in Transition," Journal of Economic Surveys, Wiley Blackwell, vol. 17(3), pages 227-237, July.
- Laurent Cellarier & Richard Day, 2011. "Structural instability and alternative development scenarios," Journal of Population Economics, Springer;European Society for Population Economics, vol. 24(3), pages 1165-1180, July.
- Alexander Chudik & M. Hashem Pesaran & Ron P. Smith, 2023.
"Revisiting the Great Ratios Hypothesis,"
Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 85(5), pages 1023-1047, October.
- Alexander Chudik & M. Hashem Pesaran & Ron P. Smith, 2022. "Revisiting the Great Ratios Hypothesis," CESifo Working Paper Series 9625, CESifo.
- Chudik, A. & Pesaran, M. H. & Smith, R. P., 2022. "Revisiting the Great Ratios Hypothesis," Cambridge Working Papers in Economics 2215, Faculty of Economics, University of Cambridge.
- Alexander Chudik & M. Hashem Pesaran & Ron P. Smith, 2022. "Revisiting the Great Ratios Hypothesis," BCAM Working Papers 2203, Birkbeck Centre for Applied Macroeconomics.
- Alexander Chudik & M. Hashem Pesaran & Ron P. Smith, 2022. "Revisiting the Great Ratios Hypothesis," Globalization Institute Working Papers 415, Federal Reserve Bank of Dallas, revised 14 Apr 2023.
- Amavilah, Voxi Heinrich, 2018. "Endogenous constraints, coefficients of economic distance, and economic performance of African countries – An exploratory essay," MPRA Paper 90065, University Library of Munich, Germany.
- Rainer Klump & Peter McAdam & Alpo Willman, 2012.
"The Normalized Ces Production Function: Theory And Empirics,"
Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 769-799, December.
- Klump, Rainer & McAdam, Peter & Willman, Alpo, 2011. "The normalized CES production function: theory and empirics," Working Paper Series 1294, European Central Bank.
- Martin Fleming, 2021. "Productivity Growth and Capital Deepening in the Fourth Industrial Revolution," Working Papers 010, The Productivity Institute.
- Serguei Kaniovski & Thomas Url & Helmut Hofer & Viola Garstenauer, 2021. "A Long-run Macroeconomic Model of the Austrian Economy (A-LMM 2.0). New Results (2021)," WIFO Studies, WIFO, number 67377, August.
- Akio Matsumoto & Ferenc Szidarovszky, 2013. "Asymptotic Behavior of a Delay Differential Neoclassical Growth Model," Sustainability, MDPI, vol. 5(2), pages 1-16, January.
More about this item
Keywords
fractional calculus; fractional dynamics; fractional generalization; long memory; non-locality; mathematical economics; economic theory;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:554-:d:240669. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.