Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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SOLUTIONS OF FRACTIONAL ORDER TIME-VARYING LINEAR DYNAMICAL SYSTEMS USING THE RESIDUAL POWER SERIES METHOD

  • Mahmut MODANLI (Department of Mathematics, Faculty of Arts and Sciences, Harran University) ;
  • Sadeq Taha Abdulazeez (Department of Mathematics, College of Basic Education, University of Duhok, Department of Computer Science, College of Science, Nawroz University) ;
  • Habibe GOKSU (Department of Mathematics, Faculty of Arts and Sciences, Harran University)
  • Received : 2022.11.26
  • Accepted : 2023.06.16
  • Published : 2023.12.20
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Abstract

In this paper, the fractional order time-varying linear dynamical systems are investigated by using a residual power series method. A residual power series method (RPSM) is constructed for this problem. The exact solution is obtained by the Laplace transform method and the analytical solution is calculated via the residual power series method (RPSM). As an application, some examples are tested to show the accuracy and efficacy of the proposed methods. The obtained result showed that the proposed methods are effective and accurate for this type of problem.

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References

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