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Dergiler / Konuralp Journal of Mathematics / 2026 / Volume: 14 Issue: 1

Finite-Time Blow-Up Analysis of Generalized Rosenau-Kawahara-RLW Equations with Caputo Derivatives

Abdelatif Boutiara(University of Ghardaia)
Maamar Benbachır(Saad Dhab University)0000-0003-3519-1153
Jehad Alzabut(Prince Sultan University/Ostim Technical University)0000-0002-5262-1138
Mohammad Esmael Samei(Bu Ali Sina)
Sayfa
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Yayın Tarihi
2026-04-30
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This work contributes to the understanding of blow-up phenomena in nonlinear dispersive wave equations with fractional time derivatives.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This paper investigates the nite-time blow-up of solutions for the time-fractional generalized Rosenau-Kawahara-RLW equation involving the Caputo fractional deriva- tive.
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Temel Bulgular & Veri:By employing the Pohozhaev nonlinear capacity method, we establish sufficient conditions under which the solutions blow up in nite time.
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Sonuç & Katkı:This work contributes to the understanding of blow-up phenomena in nonlinear dispersive wave equations with fractional time derivatives.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Rosenau Kawahara RLW Equations · Caputo Derivative · Blow-up Analysis

Abstract

This paper investigates the nite-time blow-up of solutions for the time-fractional generalized Rosenau-Kawahara-RLW equation involving the Caputo fractional deriva- tive. By employing the Pohozhaev nonlinear capacity method, we establish sufficient conditions under which the solutions blow up in nite time. The approach relies on the selection of suitable test functions that satisfy the given initial and boundary conditions. Additionally, we analyze the maximum principle for initial-boundary value problems re- lated to the time-fractional Kawahara equation. Several illustrative examples are pro- vided to validate the theoretical ndings, and numerical simulations are conducted using MATLAB to support the results. This work contributes to the understanding of blow-up phenomena in nonlinear dispersive wave equations with fractional time derivatives.

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Bu Makaleye Atıf Yap

Boutiara, A., Benbachır, M., Alzabut, J., Samei, M. E. (2026). Finite-Time Blow-Up Analysis of Generalized Rosenau-Kawahara-RLW Equations with Caputo Derivatives. Konuralp Journal of Mathematics, Volume: 14 Issue: 1. https://ajindex.com/articles/1521424

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