Numerical simulation of variable-order fractal-fractional delay differential equations with nonsingular derivative

This work develops a new Legendre delay operational matrix based on Legendre polynomial features that are integrated with regard to the Legendre fractional derivative operational matrix in order to solve the issues. The motivation behind solving the Atangana-Baleanu The variable-order fractal-frac...

Full description

Saved in:

Bibliographic Details
Main Authors:	Basim, Mays, Ahmadian, Ali, Senu, Norazak, Ibrahim, Zarina Bibi
Format:	Article
Published:	Elsevier 2023
Online Access:	http://psasir.upm.edu.my/id/eprint/109117/ https://linkinghub.elsevier.com/retrieve/pii/S2215098623000897
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

$A robust operational matrix of nonsingular derivative to solve fractional variable-order differential equations$

A robust operational matrix of nonsingular derivative to solve fractional variable-order differential equations
by: Basim, Mays, et al.
Published: (2022)

$An efficient operation matrix method for solving fractal–fractional differential equations with generalized Caputo-type fractional–fractal derivative$

An efficient operation matrix method for solving fractal–fractional differential equations with generalized Caputo-type fractional–fractal derivative
by: A.M., Shloof, et al.
Published: (2021)

$An effective spectral approach to solving fractal differential equations of variable order based on the non-singular kernel derivative$

An effective spectral approach to solving fractal differential equations of variable order based on the non-singular kernel derivative
by: Basim, M., et al.
Published: (2023)

$A new fractional derivative for differential equation of fractional order under interval uncertainty$

A new fractional derivative for differential equation of fractional order under interval uncertainty
by: Salahshour, Soheil, et al.
Published: (2016)

$Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense$

Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense
by: Shloof, A. M., et al.
Published: (2022)

Numerical study for periodical delay differential equations using Runge-Kutta with trigonometric interpolation
by: Senu, Norazak, et al.
Published: (2022)

$On a numerical solution for fuzzy fractional differential equation using an operational matrix method$

On a numerical solution for fuzzy fractional differential equation using an operational matrix method
by: Ahmadian, Ali, et al.
Published: (2015)

$Numerical solution of fractional order delay differential equation via collocation method$

Numerical solution of fractional order delay differential equation via collocation method
by: Muhammad, Bilal, et al.
Published: (2019)

Numerical approach for delay volterra integro-differential equation
by: Nur Auni Baharum,, et al.
Published: (2022)

Numerical approach for delay Volterra integro-differential equation
by: Baharum, Nur Auni, et al.
Published: (2022)

Solving the singularly perturbation problems of delay differential equations numerically
by: Jaaffar, Nur Tasnem, et al.
Published: (2021)

$Numerical methods for fractional order singular partial differential equations with variable coefficients$

Numerical methods for fractional order singular partial differential equations with variable coefficients
by: Elbeleze, Asma Ali, et al.
Published: (2014)

Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients
by: Asma Ali, Elbeleze,, et al.
Published: (2015)

$A new modern scheme for solving fractal–fractional differential equations based on deep feedforward neural network with multiple hidden layer$

A new modern scheme for solving fractal–fractional differential equations based on deep feedforward neural network with multiple hidden layer
by: Admon, Mohd Rashid, et al.
Published: (2024)

$Investigating fractal-fractional mathematical model of tuberculosis TB under fractal-fractional caputo operator$

Investigating fractal-fractional mathematical model of tuberculosis TB under fractal-fractional caputo operator
by: Qu, Haidong, et al.
Published: (2022)

Numerical computation of third order delay differential equations by using direct multistep method
by: Jaaffar, N. T., et al.
Published: (2021)

$Study on numerical solution of a variable order fractional differential equation based on symmetric algorithm$

Study on numerical solution of a variable order fractional differential equation based on symmetric algorithm
by: Liu, Jingrui, et al.
Published: (2019)

$On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem$

On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem
by: Salahshour, Soheil, et al.
Published: (2015)

Second derivative multistep method for solving first-order ordinary differential equations
by: Turki, Mohammed Yousif, et al.
Published: (2016)

Hybrid methods for direct integration of special third Order ordinary differential equations
by: Jikantoro, Yusuf Dauda, et al.
Published: (2018)

$A fractional multistep method for solving a class of linear fractional differential equations under uncertainty$

A fractional multistep method for solving a class of linear fractional differential equations under uncertainty
by: Ahmadian, Ali, et al.
Published: (2015)

Direct numerical method for solving a class of fourth-order partial differential equation
by: Hussain, Kasim Abbas, et al.
Published: (2016)

$Numerical solution of fractional differential equations with Caputo derivative by using numerical fractional predict-correct technique$

Numerical solution of fractional differential equations with Caputo derivative by using numerical fractional predict-correct technique
by: Zabidi, Nur Amirah, et al.
Published: (2022)

Directly solving special second order delay differential equations using Runge-Kutta-Nystrom method
by: Mechee, Mohammed, et al.
Published: (2013)

A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations
by: Ahmad, Sufia Zulfa, et al.
Published: (2016)

$A new iterative technique for solving fractal-fractional differential equations based on artificial neural network in the new generalized Caputo sense$

A new iterative technique for solving fractal-fractional differential equations based on artificial neural network in the new generalized Caputo sense
by: Shloof, A. M., et al.
Published: (2022)