Work

Strong Solutions to Semilinear Subdiffusion Equations With Completely Positive Kernels

Year: 2026

Type: article

Abstract: ABSTRACT We deal with an abstract model of nonlocal evolution equations with completely positive kernels and nonlinear perturbations. By using the subordination principle, we derive a representation and regularity estimates for resolvent family, which allow us to prove a solvability result for the associated Cauchy problem in fractional Sobolev spaces. Then, by using the fixed point argument and the analytic resolvent theory, we are able to demonstrate that the obtained solution is a strong one.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.71060

Author: Dang Thi Phuong Thanh

Institution: Hung Vuong University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W7224027076

FWCI:

Cites: 15

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Related to: 10