International Journal of Mathematics Trends and Technology
Volume 65 | Issue 4 | Year 2019 | Article Id. IJMTT-V65I4P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I4P522
Optimization modeling and algorithms of dynamical systems using the classical integer order system of differential equations is becoming an interesting research are now a days. However due to the effective nature of fractional derivatives and integrals, several optimization models and other models in science and engineering have successful being formulated and analyzed. Fractional order derivatives has an important characteristics called memory effect and this special property do not exist in the classical derivatives. These derivatives are non local opposed to the local behavior of integer derivatives. It implies the next state of a fractional system depends not only upon its current state but also upon all of its historical states. In this article we discuss the definition of Caputo derivative and present the fractional-order EUWD model with interventions V and Q in the sense of the Caputo derivative of order α Ε(0,1]. The analysis part then follows accordingly. The main objective of this chapter is therefore to formulate an Optimization model using fractional order derivatives which has an advantage over the classical integer order models discussed in the previous literatures due to its memory effect property. We will consider qualitative stability analysis for the model and finally perform numerical simulations.
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Thomas Wetere Tulu , Tiande Guo, "Fractional-Order Model for Fingerprint Image Processing in ATM Banking," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 4, pp. 119-124, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I4P522
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