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

Xijun Liu, Ke Deng and Maokang Luo

Chaos, Solitons & Fractals, 2025, vol. 196, issue C

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 0Keywords: space–time fractional diffusion equations; Time-delayed; Fourier-Laplace transform methods; Delay fractional Mittag-Leffler functions; Blow-up (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:196:y:2025:i:c:s0960077925003133

DOI: 10.1016/j.chaos.2025.116300

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