Exact Solutions of the 3D Fractional Helmholtz Equation by Fractional Differential Transform Method. (21st April 2022)

• Record Type: Journal Article
• Authors: Alshammari, Saleh; Abuasad, Salah
• Other Names: Hussain Azhar Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-04-21
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/7374751
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this work, we applied the fractional reduced differential transform method (FRDTM) to find the exact solutions of the three-dimensional fractional Helmholtz equation (FHE) and compared our outcomes with the tenth-order approximate solutions for diverse fractional orders. Different values of fractional derivatives are signified explicitly in three dimensions. Outcomes are denoted in the tables for nonfractional exact and approximate solutions and fractional approximate solutions for different fractional orders. Two examples are given to prove the proficiency of the suggested method, to resolve diverse categories of fractional partial differential equations.