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September 2, 2026Fractals

Triple Positive Solutions and Nonexistence Results for Mixed Fractional Differential Equations with p-Laplacian Operator

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Authors

HTHamza TabtiABAbdelkader BenaliIAIbrahim Alraddadi

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Overview

Theoretical analysis demonstrates existence of triple positive solutions and nonexistence conditions in mixed fractional boundary value systems, clarifying nonlinear differential behaviors.

Key Points

  • Investigate the existence and nonexistence criteria of positive solutions for nonlinear boundary value problems involving mixed fractional derivatives and a p-Laplacian operator.
  • Combined Green's function methods with a generalized Avery-Henderson fixed point theorem in cones.
  • Formulated eigenvalue-type conditions to determine the mathematical boundaries under which positive solutions cannot exist.
  • Tested and validated the derived theoretical criteria using representative analytical examples.
  • Established analytical conditions guaranteeing the existence of at least three positive solutions for the mixed fractional differential system.
  • Derived explicit eigenvalue-type thresholds that lead to the complete nonexistence of positive solutions.

Cite This Study

Tabti et al. (2026) studied this question.

synapsesocial.com/papers/6a97e29ec562ede874ec6e4bhttps://doi.org/10.1142/s0218348x26501410
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