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Research Article | Open Access

New oscillation solutions of impulsive conformable partial differential equations

Omar Bazighifan1, Areej A. Al-moneef2, Ali Hasan Ali3,4, Thangaraj Raja5, Kamsing Nonlaopon6( ), Taher A. Nofal7
Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
Doctoral School of Mathematical and Computational Sciences, University of Debrecen, H-4002 Debrecen, Pf. 400, Hungary
Department of Mathematics, Mahendra College of Engineering, Affiliated to Anna University, Chennai, Salem (Dt), Tamil Nadu, India
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Department of Mathematic, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
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Abstract

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.

Keywords

fractional integralsnonlinear equationsconformable partial differential equationsimpulseoscillationdamping termdistributed deviating arguments
CLC number: 5B05, 35L70, 35R10, 35R12

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 16328-16348
DOI: 10.3934/math.2022892

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Cite this article:
Bazighifan O, Al-moneef AA, Ali AH, et al. New oscillation solutions of impulsive conformable partial differential equations. AIMS Mathematics, 2022, 7(9): 16328-16348. https://doi.org/10.3934/math.2022892

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Received: 13 May 2022
Revised: 22 June 2022
Accepted: 27 June 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)