Existence and regularity results for space-time fractional integro-differential equation of Kirchhoff type with memory
arxiv(2024)
摘要
This paper analyses a Kirchhoff type quasilinear space-time fractional
integro-differential equation with memory (𝒦^s_α). Various
a priori bounds are derived in different norms on the solution of the
considered equation. Utilizing these a priori bounds, existence and uniqueness
of the weak solution to the proposed model are proved. Furthermore, regularity
results on the solution of (𝒦^s_α) are established. The
contribution made in this work provides a framework for further investigation
of such types of partial integro-differential equation
(𝒦^s_α).
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