Bulletin of Pure and Applied Sciences Section - E - Mathematics & Statistics

  • Year: 2019
  • Volume: 38E
  • Issue: 2

On the fractional triple Elzaki transform and its properties *

1Department of Mathematics, Faculty of Science and Technology, Omdurman Islamic University, Khartoum, Sudan.

*E-mail: aljarada@gmail.com

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Abstract

In this work we introduce and prove the different properties and theorems of the fractional triple Elzaki transform like the linearity property, the first and the second shifting properties, the convolution theorem, the periodic function property and the operational formula. We also give an application of this new concept to solve a factional partial differential equation in three dimensions satisfying given initial and boundary value conditions.

Keywords

Fractional triple Elzaki transform, Inverse triple Elzaki transform, partial differential equations, Upadhyaya transform, Elzaki transform, Primary:, 44A05, 44A10, 44A45, 44A99, Secondary, 60E10