Analysis of nonlinear fractional-order Fisher equation using two reliable techniques

Abstract: In this article, the solution to the time-fractional Fisher equation is determined using two well-known analytical techniques. The suggested approaches are the new iterative method and the optimal auxiliary function method, with the fractional derivative handled in the Caputo sense. The obtained results demonstrate that the suggested approaches are efficient and simple to use for solving fractional-order differential equations. The approximate and exact solutions of the partial fractional differential equations for integer order were compared. Additionally, the fractional-order and integer-order results are contrasted using simple tables. It has been confirmed that the solution produced using the provided methods converges to the exact solution at the appropriate rate. The primary advantage of the suggested method is the small number of computations needed. Moreover, it may be used to address fractional-order physical problems in a number of fields.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Analysis of nonlinear fractional-order Fisher equation using two reliable techniques ; volume:22 ; number:1 ; year:2024 ; extent:8
Open physics ; 22, Heft 1 (2024) (gesamt 8)

Urheber
Ahmad, Hijaz
Farooq, Muhammad
Khan, Ibrar
Nawaz, Rashid
Fewster-Young, Nicholas
Askar, Sameh

DOI
10.1515/phys-2023-0185
URN
urn:nbn:de:101:1-2405111536278.632097931079
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
14.08.2025, 10:51 MESZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Beteiligte

  • Ahmad, Hijaz
  • Farooq, Muhammad
  • Khan, Ibrar
  • Nawaz, Rashid
  • Fewster-Young, Nicholas
  • Askar, Sameh

Ähnliche Objekte (12)