Numerical solution of fractional order logistic equations via conformable fractional differential transform method

Gunerhan H., Yigider M., Manafian J., İLHAN O. A.

JOURNAL OF INTERDISCIPLINARY MATHEMATICS, cilt.24, ss.1207-1220, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/09720502.2021.1918319
  • Dergi Adı: JOURNAL OF INTERDISCIPLINARY MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1207-1220
  • Anahtar Kelimeler: Conformable fractional differential transform method, Fractional order logistic equations, Caputo fractional derivative, Fast convergent series, Approximate solution, APPROXIMATE SOLUTION, SOLVING SYSTEMS, MODEL
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this study, a nonlinear fractional logistic equations is proposed in the context of a modified form of the conformable fractional-order derivative. The analytical and approximate-analytical solutions are obtained for the proposed mathematical model via the method of conformable fractional differential transform method (CFDTM) and all obtained results have been analyzed and compared with homotopy perturbation method (HPM). With plotting the figures, we compared the CFDTM, HPM, and exact solution together and conclude that the CFDTM solution is closer than the exact solution in comparison with the HPM. The methods are illustrated by two examples of FOLE and solution is obtained. All obtained solutions have been analyzed and compared graphically to validate the effiency and applicability of all results.