On Continuity of the Fractional Derivative of the Time-Fractional Semilinear Pseudo-Parabolic Systems
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Date
2021
Journal Title
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Volume Title
Publisher
Springer
Open Access Color
GOLD
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No
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Top 1%
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Top 1%
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.
Description
Keywords
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.
Fields of Science
Citation
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.
WoS Q
Q1
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OpenCitations Citation Count
53
Source
Advances in Difference Equations
Volume
2021
Issue
1
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Scopus : 61
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