Homotopy Analysis Method to Solve the Multi-order Fractional Differential Equations

Homotopy Analysis Method to Solve the Multi-order Fractional Differential Equations

Pramod Kumar

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Dr. V.G.Gupta

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α Jaipur National University

Homotopy Analysis Method to Solve the Multi-order Fractional Differential Equations

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Abstract

This paper applies the homotopoy analysis method (HAM) to obtain the solution of multi-order fractional differential equation. The fractional derivative is described in Caputo sense. Some test examples have been present.

References

19 Cites in Article

Reference Format

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Pramod Kumar. 2012. \u201cHomotopy Analysis Method to Solve the Multi-order Fractional Differential Equations\u201d. Global Journal of Research in Engineering - I: Numerical Methods GJRE-I Volume 12 (GJRE Volume 12 Issue I1): .

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GJRE Volume 12 Issue I1
Pg. 17- 22

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords

Caputo’s fractional derivative Fractional differential equation homotopy analysis method Riemann-Liouville fractional derivative

Submission ReceivedDecember 13, 2011
Peer Review Double Blind
Handling Editor
Accepted January 3, 2012
Published January 15, 2012

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v1.2

Issue date

March 14, 2012

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Article Matrices

Total Score: 107

Country: India

Subject: Global Journal of Research in Engineering - I: Numerical Methods

Authors: Dr. V.G.Gupta, Pramod Kumar (PhD/Dr. count: 1)

View Count (all-time): 194

Total Views (Real + Logic): 5350

Total Downloads (simulated): 2715

Publish Date: 2012 03, Wed

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Total Views: 5350

Total Downloads: 2715

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