SEMI-ANALYTICAL SOLUTION TO A COUPLED LINEAR INCOMMENSURATE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

Iqbal M. Batiha; Nashat Alamarat; Shameseddin Alshorm; O. Y. Ababneh; Shaher Momani

doi:10.22771/nfaa.2023.28.02.09

SEMI-ANALYTICAL SOLUTION TO A COUPLED LINEAR INCOMMENSURATE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

Iqbal M. Batiha
, Nashat Alamarat
, Shameseddin Alshorm
, O. Y. Ababneh
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
Irbid National University
Zarqa University
University of Jordan

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, we study a linear system of homogeneous commensurate /incommensurate fractional-order differential equations by developing a new semi-analytical scheme. In particular, by decoupling the system into two fractional-order differential equations, so that the first equation of order (δ + γ), while the second equation depends on the solution for the first equation, we have solved the under consideration system, where 0 < δ, γ ≤ 1. With the help of using the Adomian decomposition method (ADM), we obtain the general solution. The efficiency of this method is verified by solving several numerical examples.

Original language	English
Pages (from-to)	449-471
Number of pages	23
Journal	Nonlinear Functional Analysis and Applications
Volume	28
Issue number	2
DOIs	https://doi.org/10.22771/nfaa.2023.28.02.09
State	Published - 2023

Keywords

Adomian decomposition method
Fractional-order derivative operator
fractional-order integral operator

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10.22771/nfaa.2023.28.02.09

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title = "SEMI-ANALYTICAL SOLUTION TO A COUPLED LINEAR INCOMMENSURATE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS",

abstract = "In this paper, we study a linear system of homogeneous commensurate /incommensurate fractional-order differential equations by developing a new semi-analytical scheme. In particular, by decoupling the system into two fractional-order differential equations, so that the first equation of order (δ + γ), while the second equation depends on the solution for the first equation, we have solved the under consideration system, where 0 < δ, γ ≤ 1. With the help of using the Adomian decomposition method (ADM), we obtain the general solution. The efficiency of this method is verified by solving several numerical examples.",

keywords = "Adomian decomposition method, Fractional-order derivative operator, fractional-order integral operator",

author = "Batiha, \{Iqbal M.\} and Nashat Alamarat and Shameseddin Alshorm and Ababneh, \{O. Y.\} and Shaher Momani",

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T1 - SEMI-ANALYTICAL SOLUTION TO A COUPLED LINEAR INCOMMENSURATE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

AU - Batiha, Iqbal M.

AU - Alamarat, Nashat

AU - Alshorm, Shameseddin

AU - Ababneh, O. Y.

AU - Momani, Shaher

PY - 2023

Y1 - 2023

N2 - In this paper, we study a linear system of homogeneous commensurate /incommensurate fractional-order differential equations by developing a new semi-analytical scheme. In particular, by decoupling the system into two fractional-order differential equations, so that the first equation of order (δ + γ), while the second equation depends on the solution for the first equation, we have solved the under consideration system, where 0 < δ, γ ≤ 1. With the help of using the Adomian decomposition method (ADM), we obtain the general solution. The efficiency of this method is verified by solving several numerical examples.

AB - In this paper, we study a linear system of homogeneous commensurate /incommensurate fractional-order differential equations by developing a new semi-analytical scheme. In particular, by decoupling the system into two fractional-order differential equations, so that the first equation of order (δ + γ), while the second equation depends on the solution for the first equation, we have solved the under consideration system, where 0 < δ, γ ≤ 1. With the help of using the Adomian decomposition method (ADM), we obtain the general solution. The efficiency of this method is verified by solving several numerical examples.

KW - Adomian decomposition method

KW - Fractional-order derivative operator

KW - fractional-order integral operator

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SP - 449

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JO - Nonlinear Functional Analysis and Applications

JF - Nonlinear Functional Analysis and Applications

IS - 2

ER -

SEMI-ANALYTICAL SOLUTION TO A COUPLED LINEAR INCOMMENSURATE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

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Keywords

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