On fractional heat equations with non-local initial conditions

DOI10.1017/S0013091515000590zbMath1332.35378MaRDI QIDQ5743620

Herme Soto, Claudio Cuevas, Bruno de Andrade

Publication date: 5 February 2016

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Mittag-Leffler functionsnon-local initial conditionsfractional heat equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat equation (35K05) Mittag-Leffler functions and generalizations (33E12) Fractional partial differential equations (35R11)

Related Items (7)

On a time-space fractional diffusion equation with a semilinear source of exponential type ⋮ Mild solutions for a multi-term fractional differential equation via resolvent operators ⋮ On a time fractional diffusion with nonlocal in time conditions ⋮ Existence of mild solutions to nonlocal fractional Cauchy problems via compactness ⋮ Some well‐posed results on the time‐fractional Rayleigh–Stokes problem with polynomial and gradient nonlinearities ⋮ Identifying the initial state for a parabolic diffusion from their time averages with fractional derivative ⋮ Unnamed Item

Cites Work

• Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives
• Abstract fractional Cauchy problems with almost sectorial operators
• Impulsive mild solutions for semilinear differential inclusions with nonlocal conditions in Banach spaces
• Nonlocal Cauchy problem for fractional evolution equations
• Nonasymptotic results on distribution of zeros of the function \(E_p(z,\mu)\)
• Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
• Fractional diffusion and wave equations
• On non-local problems for parabolic equations

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