Aboodh transform
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Aboodh transform is a type of Integral transform formulated in 2013 by Khalid Suliman Aboodh.[1][2][3][4] It is defined as a set
Double Aboodh transform
Double Aboodh transform is a double integral on the Aboodh transform.[5]
Triple Aboodh transform
A triple integral is applied to the Aboodh transform.[6][7][8]
Fuzzy Aboodh transform
Fuzzy logic has been applied to the Aboodh transform.[9][10][11]
Quadrapole Aboodh transform
Four integrals are used in the Aboodh transform.[12]
Fractional Aboodh transform
Fractional theory is applied to the Aboodh transform.[13]
Comparison to other transform
The Aboodh transform has been compared with Laplace transform.[14][15][16]
References
- ↑ Murali, Ramdoss; Selvan, Arumugam Ponmana; Park, Choonkil; Lee, Jung Rye (2021-06-15). "Aboodh transform and the stability of second order linear differential equations". Advances in Difference Equations. 2021 (1): 296. doi:10.1186/s13662-021-03451-4. ISSN 1687-1847.
- ↑ Ojo, Gbenga O.; Mahmudov, Nazim I. (January 2021). "Aboodh Transform Iterative Method for Spatial Diffusion of a Biological Population with Fractional-Order". Mathematics. 9 (2): 155. doi:10.3390/math9020155. ISSN 2227-7390.
- ↑ Aboodh, Khalid Suliman (2013-04-01). "The new integral transform "Aboodh transform"". Global Journal of Pure and Applied Mathematics. 9 (1): 35–44.
- ↑ Selvam, A.; Sabarinathan, S.; Pinelas, Sandra (2023-09-24). "The Aboodh Transform Techniques to Ulam Type Stability of Linear Delay Differential Equation". International Journal of Applied and Computational Mathematics. 9 (5): 115. doi:10.1007/s40819-023-01577-5. ISSN 2199-5796. Unknown parameter
|s2cid=ignored (help) - ↑ Ouideen, Yasmin; Al-Aati, Ali (2022). "On Double Aboodh-Shehu Transform and Its Properties with Applications". Albaydha University Journal (in العربية). 4 (3). doi:10.56807/buj.v4i03.331. ISSN 2709-9695.
- ↑ Alfaqeih, T. Özis S. (2019). "Note on Triple Aboodh Transform and Its Application". IJEAIS. 3 (3): 1–7.
- ↑ "Triple Aboodh Transform".[dead link]
- ↑ Raghavendran, P.; Gunasekar, Th; Balasundaram, H.; Santra, Sh S.; Majumder, D.; D. Baleanu, D. (2023). "Solving fractional integro-differential equations by Aboodh transform". Journal of Mathematics and Computer Science. 32 (3): 229–240. doi:10.22436/jmcs.032.03.04. Retrieved 2024-01-19.
- ↑ "Fuzzy Aboodh Transform".[dead link]
- ↑ "Fuzzy Aboodh".
- ↑ Oyewumi, A. A.; Oderinu, R. A. (2022-09-01). "Application of the Combined Aboodh and Reduced Differential Transform Methods to the Fisher's Type Equations". Asian Journal of Pure and Applied Mathematics. 4 (1): 572–585.
- ↑ "Quadrapole".[dead link]
- ↑ Zi̇ane, Djelloul; Belgacem, Rachid; Bokhari̇, Ahmed (2022-06-30). "Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations". Advances in the Theory of Nonlinear Analysis and Its Application. 6 (2): 217–228. doi:10.31197/atnaa.979506. ISSN 2587-2648.
- ↑ Patil, Dinkar (2018-12-01), Comparative Study of Laplace, Sumudu, Aboodh, Elzaki and Mahgoub Transforms and Applications in Boundary Value Problems (SSRN Scholarly Paper), Rochester, NY, SSRN 4094218 Check
|ssrn=value (help), retrieved 2024-01-19 - ↑ Awuya, Michael A.; Subasi, D. S. (2021). "Aboodh Transform Iterative Method for Solving Fractional Partial Differential Equation with Mittag–Leffler Kernel". Symmetry. 13 (11): 2055. Bibcode:2021Symm...13.2055A. doi:10.3390/sym13112055.
- ↑ Ojo, Gbenga O.; Mahmudov, Nazim I. (2021-04-20). "Application of Aboodh Transform Iterative Method for Solving Time – Fractional Partial Differential Equations". International Journal of Sciences: Basic and Applied Research (IJSBAR). 57 (2): 65–85. ISSN 2307-4531.
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