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An Implementation of the Generalized Differential Transform Scheme for Simulating Impulsive Fractional Differential Equations

Author

Listed:
  • Zaid Odibat
  • Vedat Suat Erturk
  • Pushpendra Kumar
  • Abdellatif Ben Makhlouf
  • V. Govindaraj
  • Muhammad Shoaib Anwar

Abstract

In this research study, the generalized differential transform scheme has been applied to simulate impulsive differential equations with the noninteger order. One specific tool of the implemented scheme is that it converts the problems into a recurrence equation that finally leads easily to the solution of the considered problem. The validity and reliability of this method have successfully been accomplished by applying it to simulate the solution of some equations. It is shown that the considered method is very suitable and efficient for solving classes of fractional-order initial value problems for impulsive differential equations and might find wide applications.

Suggested Citation

  • Zaid Odibat & Vedat Suat Erturk & Pushpendra Kumar & Abdellatif Ben Makhlouf & V. Govindaraj & Muhammad Shoaib Anwar, 2022. "An Implementation of the Generalized Differential Transform Scheme for Simulating Impulsive Fractional Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-11, May.
    • Handle: RePEc:hin:jnlmpe:8280203
    DOI: 10.1155/2022/8280203
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