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

to related objects

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.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: 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)

Creator: 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

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 14.08.2025, 10:51 AM CEST

Data provider

This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.

Show original at data provider

Associated

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

Other Objects (12)

Fractional-order modeling: Analysis of foam drainage and Fisher's equations

$On a fractional-order delay Mackey-Glass equation$

On a fractional-order delay Mackey-Glass equation

$Novel simulations to the time-fractional Fisher’s equation$

Novel simulations to the time-fractional Fisher’s equation

$Optimal fractional-order PID controller based on fractional-order actor-critic algorithm$

Optimal fractional-order PID controller based on fractional-order actor-critic algorithm

Fractional-order equations and inclusions

Fractional-Order Water Flow Optimizer

$A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation$

A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation

$Dynamic analysis of the fractional-order logistic equation with two different delays$

Dynamic analysis of the fractional-order logistic equation with two different delays

$Elastic metamaterials with fractional-order resonators$

Elastic metamaterials with fractional-order resonators

Fractional-order single state reset element

$Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation$

Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation

$A robust approach for computing solutions of fractional-order two-dimensional Helmholtz equation$

A robust approach for computing solutions of fractional-order two-dimensional Helmholtz equation

Fractional-order modeling: Analysis of foam drainage and Fisher's equations

$On a fractional-order delay Mackey-Glass equation$

On a fractional-order delay Mackey-Glass equation

$Novel simulations to the time-fractional Fisher’s equation$

Novel simulations to the time-fractional Fisher’s equation

$Optimal fractional-order PID controller based on fractional-order actor-critic algorithm$

Optimal fractional-order PID controller based on fractional-order actor-critic algorithm

Fractional-order equations and inclusions

Fractional-Order Water Flow Optimizer

$A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation$

A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation

$Dynamic analysis of the fractional-order logistic equation with two different delays$

Dynamic analysis of the fractional-order logistic equation with two different delays

$Elastic metamaterials with fractional-order resonators$

Elastic metamaterials with fractional-order resonators

Fractional-order single state reset element

$Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation$

Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation

$A robust approach for computing solutions of fractional-order two-dimensional Helmholtz equation$

A robust approach for computing solutions of fractional-order two-dimensional Helmholtz equation

Fractional-order modeling: Analysis of foam drainage and Fisher's equations

$On a fractional-order delay Mackey-Glass equation$

On a fractional-order delay Mackey-Glass equation

$Novel simulations to the time-fractional Fisher’s equation$

Novel simulations to the time-fractional Fisher’s equation

$Optimal fractional-order PID controller based on fractional-order actor-critic algorithm$

Optimal fractional-order PID controller based on fractional-order actor-critic algorithm

Fractional-order equations and inclusions

Fractional-Order Water Flow Optimizer

$A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation$

A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation

$Dynamic analysis of the fractional-order logistic equation with two different delays$

Dynamic analysis of the fractional-order logistic equation with two different delays

$Elastic metamaterials with fractional-order resonators$

Elastic metamaterials with fractional-order resonators

Fractional-order single state reset element

$Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation$

Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation

$A robust approach for computing solutions of fractional-order two-dimensional Helmholtz equation$

A robust approach for computing solutions of fractional-order two-dimensional Helmholtz equation

Cultural heritage institutions wishing to register will find more information here.

Fields marked * need to be filled in.

Username*

Please enter your username

Email*

Please enter your email address

Please do not fill this field

First name

Last name

Password*

Please enter your password

Confirm password*

Please enter the same password

I have read the terms of use and the privacy policy for the collection of personal data and accept them. *

This field is required.

I would like to subscribe to the newsletter of the Deutsche Digitale Bibliothek. See newsletter subscription info.

Account created

Your "My DDB" account has been successfully created. Before you can log in to your account, you must click the confirmation link in the message we just sent to the email address you provided.

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

Object Details

References and Relationships

Contributors, Places and Time

Further information

Data provider

Associated

Other Objects (12)

Fractional-order modeling: Analysis of foam drainage and Fisher's equations

On a fractional-order delay Mackey-Glass equation

Novel simulations to the time-fractional Fisher’s equation

Optimal fractional-order PID controller based on fractional-order actor-critic algorithm

Fractional-order equations and inclusions

Fractional-Order Water Flow Optimizer

A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation

Dynamic analysis of the fractional-order logistic equation with two different delays

Elastic metamaterials with fractional-order resonators

Fractional-order single state reset element

Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation

A robust approach for computing solutions of fractional-order two-dimensional Helmholtz equation

Fractional-order modeling: Analysis of foam drainage and Fisher's equations

On a fractional-order delay Mackey-Glass equation

Novel simulations to the time-fractional Fisher’s equation

Optimal fractional-order PID controller based on fractional-order actor-critic algorithm

Fractional-order equations and inclusions

Fractional-Order Water Flow Optimizer

A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation

Dynamic analysis of the fractional-order logistic equation with two different delays

Elastic metamaterials with fractional-order resonators

Fractional-order single state reset element

Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation

A robust approach for computing solutions of fractional-order two-dimensional Helmholtz equation

Fractional-order modeling: Analysis of foam drainage and Fisher's equations

On a fractional-order delay Mackey-Glass equation

Novel simulations to the time-fractional Fisher’s equation

Optimal fractional-order PID controller based on fractional-order actor-critic algorithm

Fractional-order equations and inclusions

Fractional-Order Water Flow Optimizer

A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation

Dynamic analysis of the fractional-order logistic equation with two different delays

Elastic metamaterials with fractional-order resonators

Fractional-order single state reset element

Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation

A robust approach for computing solutions of fractional-order two-dimensional Helmholtz equation

Related objects

Reset password