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2018 A Note on Caputo’s Derivative Operator Interpretation in Economy
Hameed Ur Rehman, Maslina Darus, Jamal Salah
J. Appl. Math. 2018: 1-7 (2018). DOI: 10.1155/2018/1260240

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 - i n d i c a t o r s 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.

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Hameed Ur Rehman. Maslina Darus. Jamal Salah. "A Note on Caputo’s Derivative Operator Interpretation in Economy." J. Appl. Math. 2018 1 - 7, 2018. https://doi.org/10.1155/2018/1260240

Information

Received: 29 May 2018; Revised: 26 August 2018; Accepted: 5 September 2018; Published: 2018
First available in Project Euclid: 16 November 2018

zbMATH: 07051354
MathSciNet: MR3864616
Digital Object Identifier: 10.1155/2018/1260240

Rights: Copyright © 2018 Hindawi

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