Nonlinear viscoelastic Petrovsky equation with fractional damped: Existence and blow-up

https://doi.org/10.48185/jfcns.v6i2.1403

Authors

  • Erhan Pişkin Institute of Natural and Applied Sciences, Dicle University, Diyarbaki r, Turkey
  • Erkan Sancar Dicle University, Department of Mathematics, Diyarbakir, Turkey

Keywords:

Blow up, existence, fractional damping term, Petrovsky equation

Abstract

In this article, we study a nonlinear viscoelastic Petrovsky equation with fractional damping. First, we establish the existence of a local weak solution by using semigroup theory. Then, we prove the blow up of the solution under suitable conditions.

Published

2025-12-28

How to Cite

Pişkin, E., & Sancar, E. (2025). Nonlinear viscoelastic Petrovsky equation with fractional damped: Existence and blow-up. Journal of Fractional Calculus and Nonlinear Systems, 6(2), 1–15. https://doi.org/10.48185/jfcns.v6i2.1403

Issue

Vol. 6 No. 2 (2025): 2025 (2)

Section

Articles
Copyright & Licensing

Copyright (c) 2025 Erhan Pişkin, Erkan Sancar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.