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article · Studia Universitatis Babes-Bolyai Matematica

Existence of periodic solutions to fractional \(p(z)\)-Laplacian parabolic problems

20251 citationOpen accessUniversité Sultan Moulay Slimane

Abstract

We consider a class of nonlinear parabolic initial boundary value problems having the fractional $p(z)$-Laplacian operator. By combining variable exponent fractional Sobolev spaces with topological degree theory, we establish the existence of a time-periodic non-trivial weak solution.

Research topics

  • Nonlinear Partial Differential Equations
  • Nonlinear Differential Equations Analysis
  • Advanced Mathematical Modeling in Engineering

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DOI: 10.24193/subbmath.2025.1.05

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