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Well-Posedness of Problems for the Heat Equation with a Fractional-Loaded Term and Memory

We investigate the Cauchy problem for a heat equation incorporating variable diffusion coefficients and fractional memory effects modeled by a separable convolution kernel. By employing the fundamental solution of the associated parabolic equation, the problem is reformulated as a Volterra-type inte...

Ausführliche Beschreibung

Gespeichert in:
Hauptverfasser: Umida Baltaeva, Bobur Khasanov, Omongul Egamberganova, Hamrobek Hayitbayev
Format: Artigo
Sprache:Inglês
Veröffentlicht: MDPI AG 2025-10-01
Schriftenreihe:Dynamics
Schlagworte:
Riemann-Liouville integral
convolution-type memory
inverse problems
variable coefficients
Volterra integral equations
heat equation
Online-Zugang:https://www.mdpi.com/2673-8716/5/4/44
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