MULTIPLE SOLUTIONS FOR $ P $-LAPLACIAN KIRCHHOFF-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH INSTANTANEOUS AND NON-INSTANTANEOUS IMPULSES

In this paper, we consider a class of $ p $-Laplacian Kirchhoff-type fractional differential equations with instantaneous and non-instantaneous impulses. The existence of at least two distinct weak solutions and infinitely many weak solutions is obtained based on variational methods.

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Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2025-01-01
DOI
https://doi.org/10.11948/20240118
Citations
2
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
7.45
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article

MULTIPLE SOLUTIONS FOR $ P $-LAPLACIAN KIRCHHOFF-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH INSTANTANEOUS AND NON-INSTANTANEOUS IMPULSES

Wangjin Yao, Huiping Zhang
2 citations
Journal of Applied Analysis & Computation
Nonlinear Differential Equations Analysis
7.45
article

MULTIPLE SOLUTIONS FOR $ P $-LAPLACIAN KIRCHHOFF-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH INSTANTANEOUS AND NON-INSTANTANEOUS IMPULSES

Wangjin Yao, Huiping Zhang
article en
2 citations

Abstract

In this paper, we consider a class of $ p $-Laplacian Kirchhoff-type fractional differential equations with instantaneous and non-instantaneous impulses. The existence of at least two distinct weak solutions and infinitely many weak solutions is obtained based on variational methods.

Journal of Applied Analysis & ComputationVol. 15(1)
Openalex Percentile: Top 3%
Nonlinear Differential Equations Analysis
7.45
DOIOpen Access PDFOpenAlex
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MULTIPLE SOLUTIONS FOR $ P $-LAPLACIAN KIRCHHOFF-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH INSTANTANEOUS AND NON-INSTANTANEOUS IMPULSES — Wangjin Yao, Huiping Zhang · Journal of Applied Analysis & Computation (2025) | TGRS Research Map | TGRS