On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities

On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities

Abstract We are concerned with the existence and nonexistence of global weak solutions for a certain class of time-fractional inhomogeneous pseudo-parabolic-type equations involving a nonlinearity of the form | u | p + ι | ∇ u | q $|u|^{p}+\iota |\nabla u|^{q}$ , where p , q > 1 $p,q>1$ , and...

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Bibliographic Details
Main Authors: Areej Bin Sultan, Mohamed Jleli, Bessem Samet, Calogero Vetro
Format: Article
Language:English
Published: SpringerOpen 2022-04-01
Series:Boundary Value Problems
Subjects:
Pseudo-parabolic-type equations
Caputo fractional derivative
Combined nonlinearities
Global weak solution
Critical exponent
Online Access:https://doi.org/10.1186/s13661-022-01599-w

Internet

https://doi.org/10.1186/s13661-022-01599-w

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