Solution to fractional-order Riccati differential equations using Euler wavelet method

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Dincel a.t.

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Journal Paper

Paper Information

Journal: Scientia Iranica Year:2019 | Volume:26 | Issue:3 (Transactions D: Computer Science and Engineering and Electrical Engineering) Page(s): 1608-1616

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Title

Solution to fractional-order Riccati differential equations using Euler wavelet method

Author(s)

Dincel a.t. | Issue Writer Certificate

Keywords

Euler wavelet

fractional calculus

operational matrix

numerical solution

Riccati differential equations

Abstract

The fractional-order differential equations (FDEs) have the ability to model the real-life phenomena better in a variety of applied mathematics, engineering disciplines including diffusive transport, electrical networks, electromagnetic theory, probability and so forth. In most cases, there are no analytical solutions therefore a variety of numerical methods have been developed for the solution of the FDEs. In this paper, we derive the numerical solutions of the various fractional-order Riccati type differential equations using the Euler wavelet Method (EWM). The Euler wavelet operational matrix method converts the fractional differential equations to a system of algebraic equations. Illustrative examples are included to demonstrate the validity and efficiency of the technique.

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APA: Copy

Dincel, a.t.. (2019). Solution to fractional-order Riccati differential equations using Euler wavelet method. SCIENTIA IRANICA, 26(3 (Transactions D: Computer Science and Engineering and Electrical Engineering)), 1608-1616. SID. https://sid.ir/paper/290648/en

Vancouver: Copy

Dincel a.t.. Solution to fractional-order Riccati differential equations using Euler wavelet method. SCIENTIA IRANICA[Internet]. 2019;26(3 (Transactions D: Computer Science and Engineering and Electrical Engineering)):1608-1616. Available from: https://sid.ir/paper/290648/en

IEEE: Copy

a.t. Dincel, “Solution to fractional-order Riccati differential equations using Euler wavelet method,” SCIENTIA IRANICA, vol. 26, no. 3 (Transactions D: Computer Science and Engineering and Electrical Engineering), pp. 1608–1616, 2019, [Online]. Available: https://sid.ir/paper/290648/en

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