Exact solution of time-fractional partial differential equations using Laplace transform
2016 ◽
Vol 5
(1)
◽
pp. 86
Keyword(s):
<p>The idea of replacing the first derivative in time by a fractional derivative of order , where , leads to a fractional generalization of any partial differential equations of integer order. In this paper, we obtain a relationship between the solution of the integer order equation and the solution of its fractional extension by using the Laplace transform method.</p>
2021 ◽
pp. 100058
2013 ◽
Vol 14
(2)
◽
2021 ◽
Vol 4
(3)
◽
pp. 1-11
2020 ◽
Vol 5
(12)
◽
pp. 406-420
2011 ◽
Vol 347-353
◽
pp. 463-466
2018 ◽
Vol 109
(2)
◽
pp. 419-428
2021 ◽
Vol 85
(1)
◽
pp. 93-100
2020 ◽
Vol ahead-of-print
(ahead-of-print)
◽
2010 ◽
Vol 4
(3)
◽
pp. 425-431
◽