Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo‐elasticity

DOI10.1002/mma.4303zbMath1370.35203OpenAlexW2577107021MaRDI QIDQ4977848

Bashir Ahmad, Mukhtar Bin Muhammad Kirane, Ahmed Alsaedi

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4303

zbMATH Keywords

nonexistence of global solutionsfractional derivativestrongly coupled systemsthreshold exponent

Mathematics Subject Classification ID

PDEs in connection with classical thermodynamics and heat transfer (35Q79) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (6)

A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces ⋮ Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations ⋮ Coupled Hilfer fractional differential systems with random effects ⋮ Existence and attractivity for fractional evolution equations ⋮ On a system of Volterra type Hadamard fractional integral equations in Fréchet spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• On formation of singularities in one-dimensional nonlinear thermoelasticity
• Fractional order theory of thermoelasticity
• Thermoelasticity without energy dissipation
• Propagation of singularities in Cauchy problems for quasilinear thermoelastic systems in three space variables
• Blow-up of solutions to the Cauchy problem in nonlinear one-dimensional thermoelasticity
• Large solutions and smoothing properties for nonlinear thermoelastic systems
• On the blow-up of the solution of an equation related to the Hamilton-Jacobi equation
• Propagation of mild singularities in higher dimensional thermoelasticity
• Global existence of small solutions to the initial value problem for nonlinear thermoelasticity
• Fractional thermoelasticity
• Towards thermomechanics of fractal media
• Global small solutions of the cauchy problem for a semilinear system of equations of thermoelasticity
• The generalized Cattaneo equation for the description of anomalous transport processes
• On Fractional Integration by Parts
• A nonexistence result to a Cauchy problem in nonlinear one-dimensional thermoelasticity

This page was built for publication: Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo‐elasticity