Work

Solvability of Sequential Fractional Differential Equations With Functional Boundary Value Conditions

Year: 2025

Type: article

Abstract: The purpose of this paper is to develop the existence theory for a functional boundary problem of sequential fractional differential equations involving Caputo fractional derivatives of order $ \alpha+1 $ with $ n-1<\alpha\leq n $. The main goal of the current contribution is to use Mawhin's coincidence degree theory and a few novel operators to derive sufficient criteria for the existence of solutions to the resonance problems at hand. An example that is relevant is given to support the findings.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240268

Authors: Bingzhi Sun, Shuqin Zhang, Tianhu Yu, Shanshan Li

Institutions: Luoyang Normal University, China University of Mining and Technology - Beijing, Yantai University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Science and Technology Innovation Talents in Universities of Henan Province

Awards: 含参数微分方程与系统解的全局分歧及确切个数研究, G5154565651, G6793264852, G8397058160