Journal of Engineering and Applied Sciences
Year:
2019
Volume:
14
Issue:
10
Page No.
3455 - 3462
Deriving the General Laplace Inversion Formula using Complex Integration
Results and its Applications in Solving Partial Differential Equations
Authors :
Maan A. Rasheed
and
Mustafa A. Sabri
References
Atangana, A. and S.C.O. Noutchie, 2014. On multi-laplace transform for solving nonlinear partial differential equations with mixed derivatives. Math. Prob. Eng., 2014: 1-9.
CrossRef | Direct Link | Blanchard, P., R.L. Devaney and G.R. Hall, 2012. Differential Equations. 4th Edn., Brooks/Cole Publishing Company, Pacific Grove, California, USA., ISBN-13:978-0-495-56198-9, Pages: 834.
Churchill, R.V., 1960. Complex Variables and Applications. 2nd Edn., McGraw-Hill Education, New York, USA., ISBN-13: 978-0070108530, Pages: 297.
Coleman, M.P., 2013. An Introduction to Partial Differential Equations with Matlab. 2nd Edn., Chapman & Hall, London, UK., ISBN-13:978-1439898468, Pages: 683.
Gadain, H.E. and I. Bachar, 2017. On a nonlinear singular one-dimensional parabolic equation and double Laplace decomposition method. Adv. Mech. Eng., 9: 1-7.
CrossRef | Direct Link | Newcomb, T.P., 1958. Transient temperatures in brake drums and linings. Proc. Inst. Mech. Eng. Automobile Div., 12: 227-244.
CrossRef | Direct Link | Reddy, K.J.P. and S. Vaithyasubramanian, 2018. A survey of Laplace transform applications in various fields of science and engineering. Intl. J. Pure Appl. Math., 119: 769-777.
Direct Link | Trim, D.W., 1996. Introduction to Complex Analysis and its Applications. 1st Edn., PWS Publisher, India, ISBN-13:978-0534944100, Pages: 424.
Yang, X., 2011. Local fractional integral transforms. Prog. Nonlinear Sci., 4: 1-18.
Zemainian, A.H., 1968. Generalized Integral Transformations. 1st Edn., Interscience Publishers, Geneva, Switzerland, Pages: 300.
Zhou, Z. and X. Gao, 2017. Laplace transform methods for a free boundary problem of time-fractional partial differential equation system. Discrete Dyn. Nat. Soc., 2017: 1-9.
CrossRef | Direct Link |