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Exact Solution of Time-Fractional Partial Differential Equations Using Sumudu Transform
KTH, Systemsäkerhet och organisation.ORCID iD: 0000-0001-7320-2306
Islamic Azad University,Khomeini Shahr, Isfahan, Iran.
KTH, Systemsäkerhet och organisation.ORCID iD: 0000-0002-1831-9285
2014 (English)In: WSEAS Transactions on Mathematics, ISSN 1109-2769, E-ISSN 2224-2880, Vol. 13, p. 142-151Article in journal (Refereed) Published
Abstract [en]

Abstract: In this study, we propose a new algorithm to find exact solution of nonlinear time- fractional partialdifferential equations. The new algorithm basically illustrates how two powerful algorithms, the homotopy pertur-bation method and the Sumudu transform method can be combined and used to get exact solutions of fractionalpartial differential equations. We also present four different examples to illustrate the preciseness and effectivenessof this algorithm.

Place, publisher, year, edition, pages
World Scientific and Engineering Academy and Society , 2014. Vol. 13, p. 142-151
Keywords [en]
Mitting-Leffler functions; biological population model; Caputo derivative; Sumudu transform;
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-37168Scopus ID: 2-s2.0-84897010737OAI: oai:DiVA.org:miun-37168DiVA, id: diva2:1349434
Available from: 2019-09-09 Created: 2019-09-09 Last updated: 2019-09-09Bibliographically approved

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Karbalaie, AbdolamirHamid Muhammed, Hamed
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf