Transformimi Sumudu

Transformimi Sumudu ose shndërrimi Sumudu është një transformim integral i prezantuar në 1990 nga G. K. Watagala. ^[1] ^[2] ^[3] Përkufizohet si bashkësia e tillë ^[4] ^[5] ^[6]

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

ku

p\leq u\leq q

dhe shndërrimi Sumudu përkufizohet si

A[f(t)]={\frac {1}{u}}\int _{0}^{\infty }f(t)\exp \left({\frac {1}{u}}\right)\,dt.

Marrëdhënia me transformimet e tjera Redakto

Transformimi Sumudu është transformimi 1/ u Laplas $S[f(t)](u)={\frac {1}{u}}L[f(t)]({\frac {1}{u}})$ Dhe me u ² transformimi Elzaki $S[f(t)](u)=u^{2}E[f(t)](u)$

^ Watugala, G. K. (janar 1993). "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}}: Mungon ose është bosh parametri |language= (Ndihmë!)Mirëmbajtja CS1: Datë e përkthyer automatikisht (lidhja)
^ Asiru, Muniru Aderemi (maj 2002). "Further properties of the Sumudu transform and its applications". International Journal of Mathematical Education in Science and Technology (në anglisht). 33 (3): 441–449. doi:10.1080/002073902760047940. ISSN 0020-739X.{{cite journal}}: Mirëmbajtja CS1: Datë e përkthyer automatikisht (lidhja)
^ Zhang, Jun; Shen, Fangyang (2018). "Sumudu Transform for Automatic Mathematical Proof and Identity Generation". përmbledhur nga Latifi, Shahram (red.). Information Technology - New Generations. Advances in Intelligent Systems and Computing (në anglisht). Vëll. 558. Cham: Springer International Publishing. fq. 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. {{cite journal}}: Mungon ose është bosh parametri |language= (Ndihmë!)
^ Watugala, G. K. (janar 1993). "Sumudu transform: a new integral transform to solve differential equations and control engineering problems". International Journal of Mathematical Education in Science and Technology (në anglisht). 24 (1): 35–43. doi:10.1080/0020739930240105. ISSN 0020-739X.{{cite journal}}: Mirëmbajtja CS1: Datë e përkthyer automatikisht (lidhja)
^ Kapoor, Mamta (qershor 15, 2023). "Sumudu Transform for Time Fractional Physical Models an Analytical Aspect". Journal of Applied Analysis & Computation (në anglisht). 13 (3): 1255–1273. doi:10.11948/20220096. ISSN 2156-907X.{{cite journal}}: Mirëmbajtja CS1: Datë e përkthyer automatikisht (lidhja)

[1] Watugala, G. K. (janar 1993). "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}}: Mungon ose është bosh parametri |language= (Ndihmë!)Mirëmbajtja CS1: Datë e përkthyer automatikisht (lidhja)

[2] Asiru, Muniru Aderemi (maj 2002). "Further properties of the Sumudu transform and its applications". International Journal of Mathematical Education in Science and Technology (në anglisht). 33 (3): 441–449. doi:10.1080/002073902760047940. ISSN 0020-739X.{{cite journal}}: Mirëmbajtja CS1: Datë e përkthyer automatikisht (lidhja)

[3] Zhang, Jun; Shen, Fangyang (2018). "Sumudu Transform for Automatic Mathematical Proof and Identity Generation". përmbledhur nga Latifi, Shahram (red.). Information Technology - New Generations. Advances in Intelligent Systems and Computing (në anglisht). Vëll. 558. Cham: Springer International Publishing. fq. 677–683. doi:10.1007/978-3-319-54978-1_85. ISBN 978-3-319-54978-1.

[4] 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. {{cite journal}}: Mungon ose është bosh parametri |language= (Ndihmë!)

[5] Watugala, G. K. (janar 1993). "Sumudu transform: a new integral transform to solve differential equations and control engineering problems". International Journal of Mathematical Education in Science and Technology (në anglisht). 24 (1): 35–43. doi:10.1080/0020739930240105. ISSN 0020-739X.{{cite journal}}: Mirëmbajtja CS1: Datë e përkthyer automatikisht (lidhja)

[6] Kapoor, Mamta (qershor 15, 2023). "Sumudu Transform for Time Fractional Physical Models an Analytical Aspect". Journal of Applied Analysis & Computation (në anglisht). 13 (3): 1255–1273. doi:10.11948/20220096. ISSN 2156-907X.{{cite journal}}: Mirëmbajtja CS1: Datë e përkthyer automatikisht (lidhja)

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