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

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Odibat Z., Ertürk V. S., Kumar P., Ben Makhlouf A., Govindaraj V.

MATHEMATICAL PROBLEMS IN ENGINEERING, cilt.2022, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2022
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1155/2022/8280203
  • Dergi Adı: MATHEMATICAL PROBLEMS IN ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.