Work

An Initial-Value Problem for an Ordinary Differential Equation Involving Multi-Term Time-Fractional Derivatives with Relaxation Factors

Year: 2026

Type: article

Abstract: In this article, we consider an initial-value problem for a linear ordinary differential equation with multi-term time fractional derivatives with relaxation factors, which make the current work differently from existing studies in the literature. We establish the unique existence and the stability of the solution to the problem within the framework of suitable Sobolev spaces. Moreover, we present an improved regularity result for the solution. Our treatment is based on the operator theory in Sobolev spaces.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract10110773

Authors: Fikret Gölgeleyen, Seher Seda Sarıköse Bayram, Masahiro Yamamoto

Institutions: Zonguldak Bülent Ecevit University, The University of Tokyo

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funder: Japan Society for the Promotion of Science