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Molaei, Mohammad, Dastmalchi Saei, Farhad, Javidi, Mohammad, Mahmoudi, Yaghoub. (1401). New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform. سامانه مدیریت نشریات علمی, 10(2), 396-407. doi: 10.22034/cmde.2021.40834.1775
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". سامانه مدیریت نشریات علمی, 10, 2, 1401, 396-407. doi: 10.22034/cmde.2021.40834.1775
Molaei, Mohammad, Dastmalchi Saei, Farhad, Javidi, Mohammad, Mahmoudi, Yaghoub. (1401). 'New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform', سامانه مدیریت نشریات علمی, 10(2), pp. 396-407. doi: 10.22034/cmde.2021.40834.1775
Molaei, Mohammad, Dastmalchi Saei, Farhad, Javidi, Mohammad, Mahmoudi, Yaghoub. New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform. سامانه مدیریت نشریات علمی, 1401; 10(2): 396-407. doi: 10.22034/cmde.2021.40834.1775

New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform

Computational Methods for Differential Equations
مقاله 8، دوره 10، شماره 2، تیر 2022، صفحه 396-407    اصل مقاله (149.09 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.40834.1775
نویسندگان
Mohammad Molaei1؛ Farhad Dastmalchi Saei* 1؛ Mohammad Javidi2، 1؛ Yaghoub Mahmoudi1
1Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran.
2Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
چکیده
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.
کلیدواژه‌ها
Conformable fractional differential equations؛ Fractional Laplace transform؛ Exact analytical solutions
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