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Open Access Research Article

Solution homogeneous and non-homogeneous fractional ordinary differential equations by ZMA-transform

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pp. 781–785Vol. 27Issue 4June 2024DOI: 10.47974/JIM-1871XML
Received:
08 Nov 2023
Published Online:
30 Jun 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1871
Pages:
781–785

Abstract

In this view, a modern vision to discuss homogeneous and non-homogeneous fractional ordinary differential equations (HFODEs)- (NHFODEs) with initial condition (IC) by employment ZMA-transform (ZMAT). Out of exhibit basic properties for theorems of ZMA-transform (ZMAT) and fractional calculus(FC). Moreover presented ZMA-transform (ZMAT) of Riemann-Liovill derivative the consequent application of  ZMA-transform (ZMAT) of fractional derivatives and to understand the task more, some applications has been solved.

Keywords

Subject Classifications

15A0434A25

References

[1] Caputo, M., “Linear model of dissipation whose Q is almost frequency independent-II”, Geophysical Journal of the Royal Astronomical Society, 13: 529–539, (1967).
[2] Podlubny, I., “Fractional Differential Equations, Mathematics in Science and Engineering”, Academic Press, San Diego, Calif, USA, 198, (1999).
[3] Mittal, R.C. and Nigam, R., “Solution of fractional integro-differential equations by adomian decomposition method”, The International Journal of Applied Mathematics and Mechanics, 4: 87-94 (2008).
[4] Katatbeh,Q.D. and Belgacem,F.B.M.,“Applications of the Sumudu transform to fractional differential equations”, Nonlinear Studies, 18: 99–112 (2011).
[5] Herbert Kreyszig, Edward J Norminton, “Advanced Engineering Mathematics” Ohio State University Columbus, Ohio, Tenth edition, (2011).
[6] Abdelilah K, Hassan Sedeeg,”The New Integral, Kamal Transform, Advances in Theoretical and Applied Mathematics”; 11(4) : 451-458 (2016).
[7] H. Z. Mjthap & S.N. Al-Azzawi “Mixing Sumudu transform and Adomain decomposition method for solving Riccati equation of variable fractional order”, Journal of Interdisciplinary Mathematics (2019). DOI: 10.1080/09720502.2019.1706858. 
[8] Z.Mohammed Alwan,”(ZMA)-transform method. Journal of Interdisciplinary Mathematics”,Vol. 24, No. 7, pp. 1841–1849 (2021).
[9] Zainab Mohammed Alwan, “Solution Non Linear Partial Differential Equations By ZMADecomposition Method”. Wseas Transactions On Mathematics (2021), DOI: 10.37394/23206.2021.20.75.
[10] A. Hashim Jasim and Z. Mohammed Alwan Inverse Integrating Factor Overview, AIP Conference Proceedings 2591, 050035 (2023).
[11] Zainab Mohammed Alwan;” Double ZMA-transform for solving linear telegraph equation”; Journal of Interdisciplinary Mathematics, (2023). DOI: 10.47974/JIM-1558. 
[12] Abbood, Mohaimen M., Ebrahim, Hassan H., Al-Fayadh, Ali & Obaid, Ahmed J.Measure defined on Γ–algebra and some of their generalizations, Journal of Interdisciplinary Mathematics, 26:5, 821827 (2023), DOI: 10.47974/JIM-1502. 

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