Dualities and applications of the new integral transform
Source abstract
Abstract
This paper presents the Abdallah group transform, a new integral transform for solving differential, partial, and integral equations, which is a generalization of the Jafari and polynomial integral transforms. High accuracy, efficiency, and simplicity are demonstrated by applying the suggested integral transform.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Fractional Differential Equations Solutions · Mathematical functions and polynomials · Iterative Methods for Nonlinear Equations
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, College of Science, King Saud University 1 , P.O. Box 2455, Riyadh 11451,
Department of Mathematics, University Institute of Sciences, Chandigarh University 2 , Gharuan-Mohali, Punjab,
Basic Science Department, H.T.I 3 , Tenth of Ramadan City,
Funding
King Saud University
References (14)
Show source-provided references
1. Applications of the new general integral transform method with different fractional derivatives10.1016/j.aej.2023.08.064 ↗
2. Duality relations of Kamal transform with Laplace, Laplace–Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms10.1007/s42452-019-1896-z ↗
3. Polynomial integral transform for solving differential equations
4. Modified Sumudu decomposition method for Lane-Emden-type differential equations10.1177/1687814015620086 ↗
5. A substitution method for partial differential equations using Ramadan group integral transform10.9734/ARJOM/2017/37816 ↗
6. Solution of partial and integro-differential equations using the convolution of Ramadan group transform10.9734/arjom/2018/45489 ↗
7. On a new general integral transform: Some properties and remarks
8. A new integral transform: ARA transform and its properties and applications10.3390/sym12060925 ↗
9. Combination of integral and projected differential transform methods for time-fractional gas dynamics equations10.1016/j.asej.2016.09.012 ↗
10. On some modified methods on fractional delay and nonlinear integro-differential equation10.32604/sv.2021.015014 ↗
11. Importance of RG transform and its various applications10.18576/pfda/090409 ↗
12. On fractional integro-differential equation with nonlinear time varying delay10.32604/sv.2022.015882 ↗
13. Ramadan group transform fundamental properties and some its dualities10.1007/978-3-031-15784-4 ↗
14. 1976