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A New Approach for Solving Nonlinear Fractional Ordinary Differential Equations
by
Jassim, Hassan Kamil
, Abdulshareef Hussein, Mohammed
in
Acoustics
/ Approximation theory
/ Banach spaces
/ convergence
/ Differential equations
/ Differential equations, Nonlinear
/ Exact solutions
/ Food science
/ Fractional calculus
/ fractional differential equations
/ Mathematical analysis
/ new approximate method
/ new iterative method
/ Ordinary differential equations
/ Physics
/ Power series
/ Tests, problems and exercises
2023
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A New Approach for Solving Nonlinear Fractional Ordinary Differential Equations
by
Jassim, Hassan Kamil
, Abdulshareef Hussein, Mohammed
in
Acoustics
/ Approximation theory
/ Banach spaces
/ convergence
/ Differential equations
/ Differential equations, Nonlinear
/ Exact solutions
/ Food science
/ Fractional calculus
/ fractional differential equations
/ Mathematical analysis
/ new approximate method
/ new iterative method
/ Ordinary differential equations
/ Physics
/ Power series
/ Tests, problems and exercises
2023
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Do you wish to request the book?
A New Approach for Solving Nonlinear Fractional Ordinary Differential Equations
by
Jassim, Hassan Kamil
, Abdulshareef Hussein, Mohammed
in
Acoustics
/ Approximation theory
/ Banach spaces
/ convergence
/ Differential equations
/ Differential equations, Nonlinear
/ Exact solutions
/ Food science
/ Fractional calculus
/ fractional differential equations
/ Mathematical analysis
/ new approximate method
/ new iterative method
/ Ordinary differential equations
/ Physics
/ Power series
/ Tests, problems and exercises
2023
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A New Approach for Solving Nonlinear Fractional Ordinary Differential Equations
Journal Article
A New Approach for Solving Nonlinear Fractional Ordinary Differential Equations
2023
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Overview
Recently, researchers have been interested in studying fractional differential equations and their solutions due to the wide range of their applications in many scientific fields. In this paper, a new approach called the Hussein–Jassim (HJ) method is presented for solving nonlinear fractional ordinary differential equations. The new method is based on a power series of fractional order. The proposed approach is employed to obtain an approximate solution for the fractional differential equations. The results of this study show that the solutions obtained from solving the fractional differential equations are highly consistent with those obtained by exact solutions.
Publisher
MDPI AG
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