Adomian decomposition method for solving nonlinear fractional sturm-liouville problem

Ercan, Ahu

doi:10.17776/csj.632415

Cumhuriyet Science Journal

2020

DOI: 10.17776/csj.632415

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Adomian decomposition method for solving nonlinear fractional sturm-liouville problem

Ahu Ercan

Abstract: In the present paper, the Adomian decomposition method is employed for solving nonlinear fractional Sturm-Liouville equation. The numerical results for the eigenfunctions and the eigenvalues are obtained. Also, the present results are demonstrated by the tables and the graphs for different values of considered problem.

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2024

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Construction of the New Wave Solutions of Modified Camassa-Holm and Degasperis-Procesi Equations with Atangana’s Conformable Derivative

Kırcı

2024

Afyon Kocatepe University Journal of Sciences and Engineering

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In this study it is aimed to expose the new exact wave solutions of time-fractional modified Camassa-Holm (mCH) and time-fractional modified Degasperis-Procesi (mDP) equations due to being extensively used to delineate many physical phenomena in fluid mechanics, hydrodynamics and optical fibers. The aforementioned fractional equations are transformed into nonlinear ordinary differential equations (NLODE) considering the Atangana’s conformable derivative (ACD). Then the (m+1/G’)-expansion method is applied for these NLODEs to obtain the desired exact solutions of the fractional evolution equations. The evaluations are fulfilled through the software system Mathematica. Also the reported solutions in this manuscript are compared with the ones in the literature for the time-fractional CH and DP equations and the behaviors of the solutions are presented graphically.

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Construction of the New Wave Solutions of Modified Camassa-Holm and Degasperis-Procesi Equations with Atangana’s Conformable Derivative

Kırcı

2024

Afyon Kocatepe University Journal of Sciences and Engineering

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Adomian decomposition method for solving nonlinear fractional sturm-liouville problem

Cited by 1 publication

References 17 publications

Construction of the New Wave Solutions of Modified Camassa-Holm and Degasperis-Procesi Equations with Atangana’s Conformable Derivative

Construction of the New Wave Solutions of Modified Camassa-Holm and Degasperis-Procesi Equations with Atangana’s Conformable Derivative

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