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

QR Code

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

Fractional differential equations have recently demonstrated their importance in a variety of fields, including medicine, applied sciences, and engineering. The main objective of this study is to propose an Adams-type multistep method for solving differential equations of fractional order. The metho...

Full description

Bibliographic Details
Main Authors:	Zabidi, Nur Amirah, Abdul Majid, Zanariah, Kilicman, Adem, Ibrahim, Zarina Bibi
Format:	Article
Published:	Springer 2022
Online Access:	http://psasir.upm.edu.my/id/eprint/102345/

Similar Items

Numerical solutions of fractional differential equations by using fractional explicit Adams method
by: Zabidi, Nur Amirah, et al.
Published: (2020)

On resonant mixed Caputo fractional differential equations
by: Lakoud, Assia Guezane, et al.
Published: (2020)

Numerical solution of fredholm fractional integro-differential equation with right-sided caputo’s derivative using bernoulli polynomials operational matrix of fractional derivative
by: Loh, Jian Rong, et al.
Published: (2019)

Numerical methods for fractional differential equations by new caputo and hadamard types operators
by: Toh, Yoke Teng
Published: (2020)

Numerical simulation of variable-order fractal-fractional delay differential equations with nonsingular derivative
by: Basim, Mays, et al.
Published: (2023)

Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
by: Singh, Jagdev, et al.
Published: (2014)

Theoretical and numerical aspect of fractional differential equations with purely integral conditions
by: Brahimi, Saadoune, et al.
Published: (2021)

Numerical solution of fractional partial differential equations by spectral methods
by: Kanwal, Afshan
Published: (2019)

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)

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

Solving fractional partial differential equations with corrected Fourier series method
by: Zainal, Nor Hafizah, et al.
Published: (2014)

The Analytical Solution for the Black-Scholes Equation with Two Assets in the Liouville-Caputo Fractional Derivative Sense
by: Sawangtong, Panumart, et al.
Published: (2018)

Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method
by: Bilal, Muhammad, et al.
Published: (2020)

Solutions of Sign-Changing Fractional Differential Equation with the Fractional Derivatives
by: Wu, T., et al.
Published: (2012)

Caputo fractional differential equations for low–risk individuals of the tuberculosis transmission disease
by: Nik Long, Nik Mohd Asri, et al.
Published: (2024)

Some solution of the fractional iterative integro-differential equations
by: Kilicman, Adem, et al.
Published: (2018)

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

Numerical Solutions For Two Dimensional Time-Fractional Differential Sub-Diffusion Equation
by: Ali, Umair
Published: (2019)

Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations
by: Md Nasrudin, Farah Suraya, et al.
Published: (2022)

Analytical solutions of the space-time fractional derivative of advection dispersion equation
by: Atangana, Abdon, et al.
Published: (2013)

Approximate solution of integro-differential equation of fractional (arbitrary) order
by: A. Elbeleze, Asma, et al.
Published: (2016)

Applications of fractional derivatives to nanofluids: exact and numerical solutions
by: Zulkhibri, Ismail, et al.
Published: (2018)

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

Approximate solutions for non-linear iterative fractional differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)

Fractional Riccati equation and its applications to rough Heston model using numerical methods
by: Siow, Woon Jeng, et al.
Published: (2020)

Mixed solutions of monotone iterative technique for hybrid fractional differential equations
by: Damag, Faten H., et al.
Published: (2019)

Solving fractional differential equations using fractional explicit method
by: Yip, Lian Yiung, et al.
Published: (2024)

Solving fractional differential equations using fractional explicit method
by: Yiung, Yip Lian, et al.
Published: (2024)

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

On simple iterative fractional order differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)

Block method for numerical solution of fuzzy differential equations
by: Mehrkanoon, Siamak, et al.
Published: (2009)

Fractional variational iteration method and its application to fractional partial differential equation
by: Elbeleze, Asma Ali, et al.
Published: (2013)

Numerical Solution of Fractional Optimal Control
by: Li, W., et al.
Published: (2018)

Numerical solution of fuzzy differential equations by multistep block method
by: Isa, Syahirbanun, et al.
Published: (2015)

A computational algorithm for the numerical solution of nonlinear fractional integral equations
by: Amin, Rohul, et al.
Published: (2021)

Fractional block method for the solution of fractional order differential equations
by: Noor, N.M., et al.
Published: (2024)

Numerical solution of singularly perturbed delay differential equations with layer behavior
by: Ghomanjani, Fateme, et al.
Published: (2014)

Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials
by: Jian Rong Loh, Jian Rong Loh, et al.
Published: (2023)

On the solution of fractional Maxwell equations by Sumudu transform.
by: Kilicman, Adem, et al.
Published: (2010)

Numerical solution of differential algebraic equations (DAEs) by mix-multistep method
by: Rahim, Yong Faezah, et al.
Published: (2013)