Asymptotic behavior of solutions of a time–space fractional diffusive Volterra equation

Mokhtar Kirane and Sofwah Ahmad

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 240, issue C, 1071-1082

Abstract: In this paper, we study the time–space fractional differential equation of the Volterra type: D0|tα(u)+(−ΔN)σu=u(1+au−bu2)−au∫0tK(t−s)u(⋅)ds,where a,b>0 are given constants, α,σ∈(0,1), equipped with a homogeneous Neumann’s boundary condition and a positive initial data. The boundedness and uniform continuity of the solution on the entire R+ are established. Moreover, the asymptotic behavior of the positive solution is investigated.

Keywords: Time–space fractional differential equation; Asymptotic behavior (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:240:y:2026:i:c:p:1071-1082

DOI: 10.1016/j.matcom.2025.08.005

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