Solvability of pseudoparabolic equation with Caputo fractional derivative

DOI10.1016/j.chaos.2022.112193zbMath1504.35610OpenAlexW4281954556MaRDI QIDQ2113014

K. S. Bekenayeva, U. R. Kusherbayeva, Serik E. Aitzhanov

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112193

zbMATH Keywords

weak solutionGalerkin approximationsglobal solvabilityCaputo fractional derivativepseudoparabolic equationblow up of solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fractional derivatives and integrals (26A33) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
• A priori estimates for solutions of boundary value problems for fractional-order equations
• A generalized Gronwall inequality and its application to a fractional differential equation
• A semilinear Sobolev evolution equation in a Banach space
• Asymptotic behaviour of the fundamental solution to the equation of heat conduction in two temperatures
• Recent applications of fractional calculus to science and engineering
• A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
• To boundary-value problems for degenerating pseudoparabolic equations with Gerasimov-Caputo fractional derivative
• On weak solutions of ultraparabolic equations.
• Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data
• Boundary value problems for a pseudoparabolic equation with the Caputo fractional derivative
• Nonexistence of global solutions for coupled system of pseudoparabolic equations with variable exponents and weak memories
• Blowing-up solutions of the time-fractional dispersive equations
• On time fractional pseudo-parabolic equations with nonlocal integral conditions
• Global existence and blow-up of weak solutions for a pseudo-parabolic equation with high initial energy
• On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives
• Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
• Boundary-value problems for loaded pseudoparabolic equations of fractional order and difference methods of their solving
• The global existence and time-decay for the solutions of the fractional pseudo-parabolic equation
• Blow-up of solutions of nonlinear Sobolev type equations with cubic sources
• Certain non-steady flows of second-order fluids
• Parabolic and pseudo-parabolic partial differential equations
• A generalization of a lemma of Bihari and applications to pointwise estimates for integral equations
• Solutions of pseudo-heat equations in the whole space
• Finite-time relaxation of the solution of a nonlinear pseudoparabolic equation
• The sobolev equation, i
• The sobolev equation, II
• Model equations for waves in stratified fluids
• Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
• Global existence and energy decay estimates for weak solutions to the pseudo‐parabolic equation with variable exponents
• Blow-up of smooth solutions of the time-fractional Burgers equation
• Global existence and bounds for blow‐up time in a class of nonlinear pseudo‐parabolic equations with a memory term
• Basic Theory of Fractional Differential Equations
• Pseudoparabolic Partial Differential Equations
• Model equations for long waves in nonlinear dispersive systems