Determine the Fractional Order T. Regge Problem by Applying Rishi Transformation Method

Document Type : Original Article

Authors
Karwan Hama Faraj Jwamer
Hozan Dlshad Hilmi
Shilan Othman Hussein
Department of Mathematics, College of Science, University of Sulaimani, Sulaymaniyah, Kurdistan Region, Iraq,46001.
10.24271/psr.2024.452507.1569
Abstract
This study are interested on solving T.Regge problem for fractional order by new transformation Rishi transform, where examining the Rishi's transformation technique to the solution of fractional differential equations (FDEs), particularly in the fractional order T. Regge problem. In addition, this article involves the formulation of Rishi transformation formulas applied to fractional integrals and fractional derivatives, with discusses the advantages and limitations of the method and provides several examples to illustrate its effectiveness and applicability. We have demonstrated by examples that the Rishi transformation method offers guaranteed in solving FDEs, which contribute significantly to the field of fractional calculation.
Keywords
Rishi transform
T. Regge problem
Fractional differential equations
Fractional derivatives
Crossmark
Subjects
Passer Journal of Basic and Applied Sciences
Volume 6, Issue 2
December 2024
Pages 536-542