African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 252

Full Length Research Paper

Triple Shehu transform and its properties with applications

Sameehah R. Alkaleeli
  • Sameehah R. Alkaleeli
  • Department of Mathematics, Faculty of Arts and Sciences, Al-Marj, Benghazi University, Libya.
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Ahmad A. H. Mtawal
  • Ahmad A. H. Mtawal
  • Department of Mathematics, Faculty of Education, Al-Marj, Benghazi University, Libya.
  • Google Scholar
Mbroka S. Hmad
  • Mbroka S. Hmad
  • Department of Mathematics, Faculty of Arts and Sciences, Al-Abiar, Benghazi University, Libya.
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  •  Received: 14 January 2021
  •  Accepted: 19 April 2021
  •  Published: 30 June 2021

Abstract

In the current paper, the concept of one-dimensional Shehu Transform have been generalized into three-dimensional Shehu Transform namely, Triple Shehu Transform (TRHT). Further, some main properties, several theorems and properties related to the TRHT have been established. Triple Shehu transform was used in solving fractional partial differential equations, with the fractional derivative described in Caputo sense. The proposed scheme finds the solution without any discretization, transformation or restrictive assumptions. Several examples are given to check the reliability and efficiency of the proposed technique.

Key words: Caputo fractional derivative, exponential order, Triple Shehu transforms, partial derivative, uniqueness.