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An integral transform
The Aboodh transform is a type of integral transform . Khalid Suliman Aboodh formulated it in 2013.[1] [2] [3] [4]
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{\displaystyle A=\{f(t):\ni M,a,b>0,|f(t)|<Me^{-vt}\}}
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{\displaystyle A[f(t)]={\frac {1}{v}}\int _{0}^{\infty }f(t)e^{-vt}\,dt}
The Aboodh transform has been used in fields such as the double,[5] [6] [7] [8] [9] [10] [11] Laplace transform .[12] [13]
References [ edit ]
^ 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 . hdl :10773/39817 ISSN 2199-5796 . S2CID 262148893 . ^ Ouideen, Yasmin; Al-Aati, Ali (2022). "On Double Aboodh-Shehu Transform and Its Properties with Applications" . Albaydha University Journal (in Arabic). 4 (3). doi :10.56807/buj.v4i03.331 . ISSN 2709-9695 . ^ "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 . ^ "Quadrapole" .[dead link ^ "Fuzzy Aboodh Transform" .[dead link ^ "Fuzzy Aboodh" .^ 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 4094218 . ^ 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
![{\displaystyle A[f(t)]={\frac {1}{v}}\int _{0}^{\infty }f(t)e^{-vt}\,dt}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ae62dc29a359e9624c18be310fd7b9a67065017a)