Initial-boundary value problems for a time-fractional differential equation with involution perturbation
2019 ◽
Vol 14
(3)
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pp. 312
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Keyword(s):
Direct and inverse initial-boundary value problems of a time-fractional heat equation with involution perturbation are considered using both local and nonlocal boundary conditions. Results on existence of formal solutions to these problems are presented. Solutions are expressed in a form of series expansions using appropriate orthogonal basis obtained by separation of variables. Convergence of series solutions are obtained by imposing certain conditions on the given data. Uniqueness of the obtained solutions are also discussed. The obtained general solutions are illustrated by an example using an appropriate choice of the given data.
2006 ◽
Vol 2006
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pp. 1-26
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2018 ◽
Vol 16
(1)
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pp. 19-43
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2000 ◽
Vol 54
(5-6)
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pp. 9-27
2001 ◽
Vol 56
(8-9)
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pp. 21
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2018 ◽
Vol 77
(18)
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pp. 1581-1595
1966 ◽
Vol 14
(3)
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pp. 302-307
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