Global existence and blow-up of solutions of the time-fractional space-involution reaction-diffusion equation

DOI10.3906/mat-1909-65zbMath1450.35279OpenAlexW3025742253MaRDI QIDQ4970862

Ramiz Tapdigoglu, Berikbol T. Torebek

Publication date: 7 October 2020

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1909-65

zbMATH Keywords

Caputo derivativeunique local mild solution

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (4)

Limited frequency band diffusive representation for nabla fractional order transfer functions ⋮ Solvability of mixed problems for the wave equation with reflection of the argument ⋮ Unnamed Item ⋮ Remarks on the initial and terminal value problem for time and space fractional diffusion equation

Cites Work

• Unnamed Item
• On a time fractional reaction diffusion equation
• Blow-up and global solutions for a class of time fractional nonlinear reaction-diffusion equation with weakly spatial source
• Fractional extreme distributions
• Differential equations with involutions
• A survey of useful inequalities in fractional calculus
• Some inverse problems for the nonlocal heat equation with Caputo fractional derivative
• Well-Posedness of a Parabolic Equation with Involution
• Blowing-up solutions and global solutions to a fractional differential equation
• Global existence and blow-up for a space and time nonlocal reaction-diffusion equation
• On a class of inverse problems for a heat equation with involution perturbation
• On an inverse problem of reconstructing a subdiffusion process from nonlocal data

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