On nonexistence of solutions to some time space fractional evolution equations with transformed space argument
DOI10.1142/s1664360722500096zbMath1522.35539arXiv2201.11985WikidataQ114072093 ScholiaQ114072093MaRDI QIDQ6095852
Ahmad Z. Fino, Mukhtar Bin Muhammad Kirane, Ahmed Alsaedi, Bashir Ahmad
Publication date: 8 September 2023
Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.11985
nonlinear evolution equationsfractional LaplacianCaputo fractional derivativenonexistence of solutionsspace transformed argument
Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives
- Boundary value problems for differential equations with reflection of the argument
- Two-point boundary value problems involving reflection of the argument
- Bounded solutions for differential equations with reflection of the argument
- Boundedness and blow up for a semilinear reaction-diffusion system
- Diffractive patterns in a nonlinear optical two-dimensional feedback system with field rotation
- Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems
- Blowing-up solutions of the time-fractional dispersive equations
- Global existence and blow-up of solutions for a system of fractional wave equations
- Non-existence of global solutions to a system of fractional diffusion equations
- Analogs of classical boundary value problems for a second-order differential equation with deviating argument
- Quantitative local and global a priori estimates for fractional nonlinear diffusion equations
- Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- Fourier method in an initial-boundary value problem for a first-order partial differential equation with involution
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Inverse problems for a nonlocal wave equation with an involution perturbation
- Existence and uniqueness theorems for boundary value problems involving reflection of the argument
- On nonexistence of solutions to some nonlinear inequalities with transformed argument
- BOUNDARY VALUE PROBLEMS WITH STRONG NONLOCALNESS FOR ELLIPTIC EQUATIONS
- Superlinear Parabolic Problems
- Criticality for some evolution equations
- Elliptic functional differential equations and applications
This page was built for publication: On nonexistence of solutions to some time space fractional evolution equations with transformed space argument
