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August 18, 2025Gulf Journal of MathematicsOpen Access

Existence of extremal solutions for a class of nonlinear fractional differential equations with p-Laplacian

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Authors

HTHamza TabtiUniversité Ibn KhaldounMNMohamed NehariCentre Universitaire TissemsiltMMMohammed MezianeCentre Universitaire Tissemsilt

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Overview

This analysis reveals extremal solutions in fractional differential equations with p-Laplacian, indicating effective methods for solving boundary problems.

Key Points

  • Extremal solutions exist in a certain class of fractional differential equations involving p-Laplacian, confirming key theoretical insights.
  • Using the method of lower and upper solutions, along with a monotone iterative technique, establishes the findings effectively.
  • The study emphasizes how boundary conditions impact solution existence in nonlinear contexts, leading to valuable applications.
  • An example is provided to illustrate the practicality of the proposed methods, enhancing understanding and application.

Cite This Study

Tabti et al. (2025) studied this question.

synapsesocial.com/papers/68af4546ad7bf08b1ead3065https://doi.org/10.56947/gjom.v20i2.3068
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