Nonlinear Functional Analysis and Applications

  • 제28권2호
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  • Pages.449-471
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  • 2023
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  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
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SEMI-ANALYTICAL SOLUTION TO A COUPLED LINEAR INCOMMENSURATE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

  • Iqbal M. Batiha (Department of Mathematics, Al Zaytoonah University of Jordan, Nonlinear Dynamics Research Center (NDRC), Ajman University) ;
  • Nashat Alamarat (Department of Mathematics, Faculty of Science and Technology, Irbid National University) ;
  • Shameseddin Alshorm (Department of Mathematics, Al Zaytoonah University of Jordan) ;
  • O. Y. Ababneh (Department of Mathematics, Zarqa University) ;
  • Shaher Momani (Department of Mathematics, The University of Jordan, Nonlinear Dynamics Research Center (NDRC), Ajman University)
  • 투고 : 2022.09.04
  • 심사 : 2022.11.19
  • 발행 : 2023.06.15
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초록

In this paper, we study a linear system of homogeneous commensurate /incommensurate fractional-order differential equations by developing a new semi-analytical scheme. In particular, by decoupling the system into two fractional-order differential equations, so that the first equation of order (δ + γ), while the second equation depends on the solution for the first equation, we have solved the under consideration system, where 0 < δ, γ ≤ 1. With the help of using the Adomian decomposition method (ADM), we obtain the general solution. The efficiency of this method is verified by solving several numerical examples.

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참고문헌

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