Sumudu transform: Difference between revisions

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Sumudu Transform is an Integral transform introduced in 1990 by G K Watagala ^[1] ,^[2] ,^[3] . ^[4]It is defined as the set as ^[5] , ^[6] , ^[7]

$S={f(t):\backepsilon M,p,q>0,|f(t)|=M\exp ^{(}1/u)}$

Where $p\leq u\leq q$

and the Sumudu Transform is defined as

$A[f(t)]=(1/u)\int _{0}^{\infty }f(t)\exp ^{(}1/u)dt$

References

^ Watugala, G. K. (1993-01). "Sumudu transform: a new integral transform to solve differential equations and control engineering problems". International Journal of Mathematical Education in Science and Technology. 24 (1): 35–43. doi:10.1080/0020739930240105. ISSN 0020-739X. {{cite journal}}: Check date values in: |date= (help)
^ scholar.google.co.in https://scholar.google.co.in/scholar_url?url=https://downloads.hindawi.com/archive/2006/091083.pdf&hl=en&sa=X&ei=BGirZdzlKfKc6rQPgIKU6As&scisig=AFWwaeYEO-3HYLsYwW2gbhf7ehJl&oi=scholarr. Retrieved 2024-01-20. {{cite web}}: Missing or empty |title= (help)
^ Asiru, Muniru Aderemi (2002-05). "Further properties of the Sumudu transform and its applications". International Journal of Mathematical Education in Science and Technology. 33 (3): 441–449. doi:10.1080/002073902760047940. ISSN 0020-739X. {{cite journal}}: Check date values in: |date= (help)
^ Zhang, Jun; Shen, Fangyang (2018). Latifi, Shahram (ed.). "Sumudu Transform for Automatic Mathematical Proof and Identity Generation". Information Technology - New Generations. Advances in Intelligent Systems and Computing. Cham: Springer International Publishing: 677–683. doi:10.1007/978-3-319-54978-1_85. ISBN 978-3-319-54978-1.
^ Kılıcman, A.; Gadain, H. E. (2010-06-01). "On the applications of Laplace and Sumudu transforms". Journal of the Franklin Institute. 347 (5): 848–862. doi:10.1016/j.jfranklin.2010.03.008. ISSN 0016-0032.
^ Watugala, G. K. (1993-01). "Sumudu transform: a new integral transform to solve differential equations and control engineering problems". International Journal of Mathematical Education in Science and Technology. 24 (1): 35–43. doi:10.1080/0020739930240105. ISSN 0020-739X. {{cite journal}}: Check date values in: |date= (help)
^ Kapoor, Mamta (Thu Jun 15 00:00:00 CST 2023). "SUMUDU TRANSFORM FOR TIME FRACTIONAL PHYSICAL MODELS AN ANALYTICAL ASPECT". Journal of Applied Analysis & Computation. 13 (3): 1255–1273. doi:10.11948/20220096. ISSN 2156-907X. {{cite journal}}: Check date values in: |date= (help)

[1] Watugala, G. K. (1993-01). "Sumudu transform: a new integral transform to solve differential equations and control engineering problems". International Journal of Mathematical Education in Science and Technology. 24 (1): 35–43. doi:10.1080/0020739930240105. ISSN 0020-739X. {{cite journal}}: Check date values in: |date= (help)

[2] scholar.google.co.in https://scholar.google.co.in/scholar_url?url=https://downloads.hindawi.com/archive/2006/091083.pdf&hl=en&sa=X&ei=BGirZdzlKfKc6rQPgIKU6As&scisig=AFWwaeYEO-3HYLsYwW2gbhf7ehJl&oi=scholarr. Retrieved 2024-01-20. {{cite web}}: Missing or empty |title= (help)

[3] Asiru, Muniru Aderemi (2002-05). "Further properties of the Sumudu transform and its applications". International Journal of Mathematical Education in Science and Technology. 33 (3): 441–449. doi:10.1080/002073902760047940. ISSN 0020-739X. {{cite journal}}: Check date values in: |date= (help)

[4] Zhang, Jun; Shen, Fangyang (2018). Latifi, Shahram (ed.). "Sumudu Transform for Automatic Mathematical Proof and Identity Generation". Information Technology - New Generations. Advances in Intelligent Systems and Computing. Cham: Springer International Publishing: 677–683. doi:10.1007/978-3-319-54978-1_85. ISBN 978-3-319-54978-1.

[5] Kılıcman, A.; Gadain, H. E. (2010-06-01). "On the applications of Laplace and Sumudu transforms". Journal of the Franklin Institute. 347 (5): 848–862. doi:10.1016/j.jfranklin.2010.03.008. ISSN 0016-0032.

[6] Watugala, G. K. (1993-01). "Sumudu transform: a new integral transform to solve differential equations and control engineering problems". International Journal of Mathematical Education in Science and Technology. 24 (1): 35–43. doi:10.1080/0020739930240105. ISSN 0020-739X. {{cite journal}}: Check date values in: |date= (help)

[7] Kapoor, Mamta (Thu Jun 15 00:00:00 CST 2023). "SUMUDU TRANSFORM FOR TIME FRACTIONAL PHYSICAL MODELS AN ANALYTICAL ASPECT". Journal of Applied Analysis & Computation. 13 (3): 1255–1273. doi:10.11948/20220096. ISSN 2156-907X. {{cite journal}}: Check date values in: |date= (help)

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