Existence for a class of time-fractional evolutionary equations with applications involving weakly continuous operator-Reference-Cited by-同舟云学术

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Existence for a class of time-fractional evolutionary equations with applications involving weakly continuous operator

Published:2022-12-27 Issue:1 Volume:26 Page:172-192
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:Fract Calc Appl Anal

Author:

Zeng Biao

Funder

National Natural Science Foundation of China

Special Fund for Science and Technological Bases and Talents of Guangxi

Start-up Project of Scientific Research on Introducing talents at school level in Guangxi Minzu University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13540-022-00125-0.pdf

Reference38 articles.

1. Ahn, J., Kim, J., Lee, J.: Coriolis effect on temporal decay rates of global solutions to the fractional Navier-Stokes equations. Math. Ann. 383(1–2), 259–289 (2022)

2. Anh, C.T., Nguyet, T.M.: Optimal control of the instationary three dimensional Navier-Stokes-Voigt equations. Numerical Functional Analysis and Optimization 37(4), 415–439 (2016)

3. Anh, C.T., Trang, P.T.: Pull-back attractors for three-dimensional Navier-Stokes-Voigt equations in some unbounded domains. Proc. Royal Soc. Edinburgh Sect. A 143, 223–251 (2013)

4. Balachandran, K., Park, J.Y.: Nonlocal Cauchy problem for abstract fractional semilinear evolution equations. Nonlinear Analysis 71, 4471–4475 (2009)

5. Balachandran, K., Trujillo, J.J.: The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces. Nonlinear Analysis 72, 4587–4593 (2010)

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1. A new class of fractional Navier–Stokes system coupled with multivalued boundary conditions;Communications in Nonlinear Science and Numerical Simulation;2024-09

2. Existence for fractional evolutionary inclusions involving nonlinear weakly continuous operators with applications;Chaos, Solitons & Fractals;2024-08

3. Existence Result for a Class of Time-Fractional Nonstationary Incompressible Navier–Stokes–Voigt Equations;Axioms;2024-07-25

4. Existence and uniqueness theorem for a weak solution of fractional parabolic problem by the Rothe method;Nanosystems: Physics, Chemistry, Mathematics;2024-02-29

5. EXISTENCE FOR NONLINEAR FRACTIONAL EVOLUTIONARY EQUATIONS INVOLVING <inline-formula><tex-math id="M1">$\psi$</tex-math></inline-formula>-CAPUTO FRACTIONAL DERIVATIVE;Journal of Applied Analysis & Computation;2024

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