Analytic and Numeric Solution of Linear Partial Differential Equation of Fractional Order

sameeha ali; Mohamed Abdou; M. M. El a Kojok

Analytic and Numeric Solution of Linear Partial Differential Equation of Fractional Order

sameeha ali * §

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Mohamed Abdou ‡

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M. M. El a Kojok §

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saraad §

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§ Alexandria University, Egypt , Qassim university , K...

‡ Alexandria University

Analytic and Numeric Solution of Linear Partial Differential Equation of Fractional Order

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Abstract

The existence and uniqueness solution of the Cauchy problem are discussed and proved in a Banach space E due to Bielecki method and Picard method depending on the properties we expect a solution to possess. Moreover, some properties concerning the stability of solution are obtained. The product Nyström method is used as a numerical method to obtain a linear system of algebraic equations. Also, many important theorems related to the existence and uniqueness solution of the algebraic system are derived. Finally, an application is given and numerical results are obtained.

References

17 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

sameeha ali, Mohamed Abdou, M. M. El a Kojok, saraad. 2013. "Analytic and Numeric Solution of Linear Partial Differential Equation of Fractional Order". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F3).

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

linear algebraic system linear partial differential equation of fractional order product nyström method semigroup

Classification

GJSFR-F Classification MSC 2010: 32W50

Submission ReceivedMarch 21, 2013
Peer Review Double Blind
Handling Editor
Accepted April 10, 2013
Published April 25, 2013

Version of record

v1.2

Issue date

May 6, 2013

Language

English

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Article Matrices

Total Score: 122

Country: Saudi Arabia

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: M. A. Abdou , M. M. El a Kojok & S. A. Raad (PhD/Dr. count: 0)

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Publish Date: 2013 04, Thu

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