Solvability of Some Nonlocal Fractional Boundary Value Problems at Resonance in ℝn-Reference-Cited by-同舟云学术

Solvability of Some Nonlocal Fractional Boundary Value Problems at Resonance in ℝn

Published:2022-01-01 Issue:1 Volume:6 Page:25
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Feng Yizhe^ORCID,Bai Zhanbing^ORCID

Abstract

In this paper, the solvability of a system of nonlinear Caputo fractional differential equations at resonance is considered. The interesting point is that the state variable x∈Rn and the effect of the coefficient matrices matrices B and C of boundary value conditions on the solvability of the problem are systematically discussed. By using Mawhin coincidence degree theory, some sufficient conditions for the solvability of the problem are obtained.

Funder

National Natural Science Foundation of China

Shandong Provincial Natural Science Foundation

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/6/1/25/pdf

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