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On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems

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2021

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Abstract

In 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.

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Caputo Derivative, Initial Value Problem, Nonlinear Fractional Pseudo-Parabolic Equation Systems, Regularity

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Karapınar, Erdal...et al. (2021). "On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems", Advances in Difference Equations, Vol. 2021, No. 1.

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Advances in Difference Equations

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2021

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1

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