4.6 Article

New oscillation solutions of impulsive conformable partial differential equations

Journal

AIMS MATHEMATICS
Volume 7, Issue 9, Pages 16328-16348

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2022892

Keywords

fractional integrals; nonlinear equations; conformable partial differential equations; impulse; oscillation; damping term; distributed deviating arguments

Funding

  1. Taif University, Taif, Saudi Arabia [TURSP-2020/031]

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The study aims to identify the necessary conditions for the oscillation of impulsive conformable partial differential equation systems with the Robin boundary condition, and the important findings are demonstrated with a robust example.
Partial fractional differential equations are fundamental in many physical and biological applications, engineering and medicine, in addition to their importance in the development of several mathematical and computer models. This study's main objective is to identify the necessary conditions for the oscillation of impulsive conformable partial differential equation systems with the Robin boundary condition. The important findings of the study are stated and demonstrated with a robust example at the end of the study.

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