On Continuity of the Fractional Derivative of the Time-Fractional Semilinear Pseudo-Parabolic Systems
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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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Initial Value Problem, Caputo Derivative, Nonlinear Fractional Pseudo-Parabolic Equation Systems, Regularity, 35K55, 35K70, 35K92, 47A52, 47J06, Regularity, Initial value problem, QA1-939, Nonlinear fractional pseudo-parabolic equation systems, Caputo derivative, Mathematics, regularity, Fractional derivatives and integrals, nonlinear fractional pseudo-parabolic equation systems, initial value problem, Fractional partial differential equations, Ultraparabolic equations, pseudoparabolic equations, etc.
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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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53
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2021
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1
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