On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems
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AbstractIn this work, we study an initial value problem for a system of nonlinear parabolic pseudo equations with Caputo fractional derivative. Here, we discuss the continuity which is related to a fractional order derivative. To overcome some of the difficulties of this problem, we need to evaluate the relevant quantities of the Mittag-Leffler function by constants independent of the derivative order. Moreover, we present an example to illustrate the theory.
2016 ◽
Vol 8
(1)
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pp. 21
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2014 ◽
Vol 23
(09)
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pp. 1450044
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2008 ◽
Vol 36
(1)
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pp. 1-21
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1959 ◽
Vol 65
(5)
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pp. 310-319
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2017 ◽
Vol 22
(4)
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pp. 503-513
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