Study on a new p-Laplacian fractional differential model generated by instantaneous and non-instantaneous impulsive effects

Wei Zhang and Jinbo Ni

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

Abstract: In this paper, we discuss a new p-Laplacian fractional differential equation involving instantaneous and non-instantaneous impulses, supplemented with Sturm–Liouville boundary conditions. To study the stated problem, we introduce a new norm for fractional space, denoted by Eα,p. Under this framework, using the critical point theorem proposed by Bonanno and Marano, we prove the existence result of multiple solutions. Finally, an illustrative example is presented.

Keywords: p-Laplacian fractional differential equation; Instantaneous impulses; Non-instantaneous impulses; Sturm–Liouville boundary condition; Critical point theorem (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000449

DOI: 10.1016/j.chaos.2023.113143

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