Plancherel formula for the Shehu transform

Author:

LAKMON Anaté Kodjovi,MENSAH Yaogan

Abstract

We discuss some existence conditions of the Shehu transform, we provide a Plancherel formula and we also relate the Shehu equicontinuity to exponential L2-equivanishing.  

Publisher

MKD Publishing House

Subject

General Medicine

Reference9 articles.

1. S. AGGARWAL, A. R. GUPTA AND S. D. SHARMA, A new application of Shehu transform for handling Volterraintegral equations of first kind, International Journal of Research in Advent Technology, 7(4)(2019), 438–445.

2. S. AGGARWAL, S. D. SHARMA AND A. R. GUPTA, Application of Shehu transform for handling growth anddecay problems, Global Journal of Engineering Science and Researches, 6(4)(2019), 190–198.

3. L. AKINYEMI AND O. S. IYIOLA, Exact and approximate solutions of time-fractional models arising fromphysics via Shehu transform, Math. Meth. Appl. Sci., 43(12)(2020), 7442–7464.

4. S. ALFAQEIH AND E. MISIRLI, On double Shehu transform and its properties with applications, Int. J. Anal.Appl., 18(3)(2020), 381–395.[5] P. DYKE, An introduction to Laplace Transforms and Fourier Series, Springer-Verlag, London, 2014.

5. A. ISSA AND Y. MENSAH, Shehu transform: extension to distributions and measures, Journal of NonlinearModeling and Analysis, 2(4)(2020), 541–549.

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