Oscillatory behavior of Ψ-Hilfer generalized proportional fractional initial value problems

被引：0

作者：

Viji, James ^{[1
]}

Muthulakshmi, Velu ^{[1
]}

Kumar, Pushpendra ^{[2
,3
]}

机构：

[1] Periyar Univ, Dept Math, Salem, Tamilnadu, India

[2] Near East Univ TRNC, Math Res Ctr, Dept Math, Mersin, Turkiye

[3] Istanbul Okan Univ, Fac Engn & Nat Sci, Istanbul, Turkiye

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 04期

关键词：

nonoscillatory solution; oscillation criteria; Psi-Hilfer generalized proportional fractional derivative; DIFFERENTIAL-EQUATIONS; DERIVATIVES;

D O I：

10.1002/mma.10557

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the oscillatory behavior of the Psi-Hilfer generalized proportional fractional initial value problem. Using the Volterra integral equation and Young's inequality, we establish sufficient conditions for each solution of the problem to oscillate. For the appropriate choice of the kernel Psi$$ \Psi $$, our obtained results generalize and recover some existing results in the literature. Additionally, we present some examples to emphasize the importance of our results.

引用

页码：4460 / 4476

页数：17

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