In this paper, new analytical solutions for a class of conformable fractional differential equations (CFDEs) and some more results about Laplace transform introduced by Abdeljawad are investigated. The Laplace transform method is developed to get the exact solution of CFDEs. The aim of this paper is to convert the CFDEs into ordinary differential equations (ODEs), this is done by using the fractional Laplace transform of (α + β) order.
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Molaei, M., Dastmalchi Saei, F., Javidi, M., & Mahmoudi, Y. (2022). New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform. Computational Methods for Differential Equations, 10(2), 396-407. doi: 10.22034/cmde.2021.40834.1775
MLA
Mohammad Molaei; Farhad Dastmalchi Saei; Mohammad Javidi; Yaghoub Mahmoudi. "New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform". Computational Methods for Differential Equations, 10, 2, 2022, 396-407. doi: 10.22034/cmde.2021.40834.1775
HARVARD
Molaei, M., Dastmalchi Saei, F., Javidi, M., Mahmoudi, Y. (2022). 'New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform', Computational Methods for Differential Equations, 10(2), pp. 396-407. doi: 10.22034/cmde.2021.40834.1775
VANCOUVER
Molaei, M., Dastmalchi Saei, F., Javidi, M., Mahmoudi, Y. New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform. Computational Methods for Differential Equations, 2022; 10(2): 396-407. doi: 10.22034/cmde.2021.40834.1775
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