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The blow-up of space–time fractional time-delayed diffusion equations

Author

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  • Liu, Xijun
  • Deng, Ke
  • Luo, Maokang

Abstract

This paper presents the derivation of exact solutions to both space fractional-order and space–time fractional-order time-delayed diffusion equations, incorporating specific initial conditions. The exact solutions can be expressed as a series utilizing Fourier-Laplace transform methods in conjunction with the properties of delay fractional Mittag-Leffler functions. Our analysis reveals that when the initial values belong to fractional Sobolev spaces Hs(R) with 0

Suggested Citation

  • Liu, Xijun & Deng, Ke & Luo, Maokang, 2025. "The blow-up of space–time fractional time-delayed diffusion equations," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    • Handle: RePEc:eee:chsofr:v:196:y:2025:i:c:s0960077925003133
    DOI: 10.1016/j.chaos.2025.116300
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