### Abstract

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 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.

Original language | English |
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Article number | 1260240 |

Journal | Journal of Applied Mathematics |

Volume | 2018 |

DOIs | |

Publication status | Published - 1 Jan 2018 |

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### ASJC Scopus subject areas

- Applied Mathematics

### Cite this

*Journal of Applied Mathematics*,

*2018*, [1260240]. https://doi.org/10.1155/2018/1260240

**A Note on Caputo's Derivative Operator Interpretation in Economy.** / Rehman, Hameed Ur; Darus, Maslina; Salah, Jamal.

Research output: Contribution to journal › Article

*Journal of Applied Mathematics*, vol. 2018, 1260240. https://doi.org/10.1155/2018/1260240

}

TY - JOUR

T1 - A Note on Caputo's Derivative Operator Interpretation in Economy

AU - Rehman, Hameed Ur

AU - Darus, Maslina

AU - Salah, Jamal

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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 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.

AB - 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 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.

UR - http://www.scopus.com/inward/record.url?scp=85055544599&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85055544599&partnerID=8YFLogxK

U2 - 10.1155/2018/1260240

DO - 10.1155/2018/1260240

M3 - Article

VL - 2018

JO - Journal of Applied Mathematics

JF - Journal of Applied Mathematics

SN - 1110-757X

M1 - 1260240

ER -