A Note on Caputo’s Derivative Operator Interpretation in Economy
We propound the economic idea in terms of fractional derivatives, which involves the modified Caputo’s fractional derivative operator. The suggested economic interpretation is based on a generalization of average count and marginal value of economic indicators. We use the concepts of T-indicators wh...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/1260240 |
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| _version_ | 1841524496905797632 |
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| author | Hameed Ur Rehman Maslina Darus Jamal Salah |
| author_facet | Hameed Ur Rehman Maslina Darus Jamal Salah |
| author_sort | Hameed Ur Rehman |
| collection | DOAJ |
| description | We propound the economic idea in terms of fractional derivatives, which involves the modified Caputo’s fractional derivative operator. The suggested economic interpretation is based on a generalization of average count and marginal value of economic indicators. We use the concepts of T-indicators which analyses the economic performance with the presence of memory. The reaction of economic agents due to recurrence identical alteration is minimized by using the modified Caputo’s derivative operator of order λ instead of integer order derivative n. The two sides of Caputo’s derivative are expressed by a brief time-line. The degree of attenuation is further depressed by involving the modified Caputo’s operator. |
| format | Article |
| id | doaj-art-e03019ca5fe54049ba475fa02dfb4dd0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e03019ca5fe54049ba475fa02dfb4dd02025-02-03T05:53:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422018-01-01201810.1155/2018/12602401260240A Note on Caputo’s Derivative Operator Interpretation in EconomyHameed Ur Rehman0Maslina Darus1Jamal Salah2School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600 Selangor Darul Ehsan, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600 Selangor Darul Ehsan, MalaysiaCollege of Applied and Health Sciences, A’ Sharqiyah University, Post Box No. 42, Post Code No. 400 Ibra, OmanWe propound the economic idea in terms of fractional derivatives, which involves the modified Caputo’s fractional derivative operator. The suggested economic interpretation is based on a generalization of average count and marginal value of economic indicators. We use the concepts of T-indicators which analyses the economic performance with the presence of memory. The reaction of economic agents due to recurrence identical alteration is minimized by using the modified Caputo’s derivative operator of order λ instead of integer order derivative n. The two sides of Caputo’s derivative are expressed by a brief time-line. The degree of attenuation is further depressed by involving the modified Caputo’s operator.http://dx.doi.org/10.1155/2018/1260240 |
| spellingShingle | Hameed Ur Rehman Maslina Darus Jamal Salah A Note on Caputo’s Derivative Operator Interpretation in Economy Journal of Applied Mathematics |
| title | A Note on Caputo’s Derivative Operator Interpretation in Economy |
| title_full | A Note on Caputo’s Derivative Operator Interpretation in Economy |
| title_fullStr | A Note on Caputo’s Derivative Operator Interpretation in Economy |
| title_full_unstemmed | A Note on Caputo’s Derivative Operator Interpretation in Economy |
| title_short | A Note on Caputo’s Derivative Operator Interpretation in Economy |
| title_sort | note on caputo s derivative operator interpretation in economy |
| url | http://dx.doi.org/10.1155/2018/1260240 |
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