Work

Existence and uniqueness for a mixed fractional differential system with slit-strips conditions

Year: 2024

Type: article

Abstract: This paper studies the existence and uniqueness of solutions for a new kind of mixed fractional differential systems with slit-strips conditions, containing Caputo-type fractional derivatives. The first result on the existence and uniqueness is based on Banach’s fixed point theorem, and the second result on the existence and uniqueness of the solution is proved by using a Schaefer-type fixed point theorem. The applicability of our primary results is finally illustrated by some examples.

Source: Boundary Value Problems

DOI: 10.1186/s13661-024-01942-3

Authors: Pengyan Yu, Guoxi Ni, Chengmin Hou

Institutions: Institute of Applied Physics and Computational Mathematics, Graduate School of China Academy of Engineering Physics, Xinjiang University of Political Science and Law

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

Funder: National Natural Science Foundation of China