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article · Boletim da Sociedade Paranaense de Matemática

Existence and uniqueness of solutions for nonlinear fractional boundary value problems with $\ psi$-Caputo derivatives

20251 citationOpen accessUniversité Sultan Moulay Slimane

Abstract

This work aims to investigate the existence and uniqueness of solutions for a boundary value problem using a nonlinear fractional differential equation that involves the $\psi$-Caputo fractional derivative. Our findings are demonstrated using Krasnoselkii's fixed point theorem and the Banach contraction principle.

Research topics

  • Fractional Differential Equations Solutions
  • Nonlinear Differential Equations Analysis
  • Differential Equations and Numerical Methods

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DOI: 10.5269/bspm.75788

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