高阶Riemann-Liouville型分数阶脉冲微分方程积分边值问题的正解

Abstract

Abstract:

In this paper, we study a high order Riemann-Liouville type fractional impulsive differential equation integral boundary value problem involving semipositone the nonlinear and impulsive terms. By virtue of the fixed point index, we obtain the positive solutions theorems under some appropriate superlinear and sublinear growth conditions. The results here extend the existing study.

Key words: Fractional differential equations, Boundary value problems, Impulse, Fixed point index, Positive solutions

CLC Number:

O175.1

Xu Jiafa, Yang Zhichun. Positive Solutions for a High Order Riemann-Liouville Type Fractional Impulsive Differential Equation Integral Boundary Value Problem[J].Acta mathematica scientia,Series A, 2023, 43(1): 53-68.

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References 30

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Positive Solutions for a High Order Riemann-Liouville Type Fractional Impulsive Differential Equation Integral Boundary Value Problem

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