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Existence uniqueness and stability of solutions for ψ-Caputo fractional differential iterative equation with boundary value conditions

20254 citationsOpen accessUniversité Sultan Moulay Slimane

Abstract

The subject of this paper revolves around fractional differential equations incorporating a ?-Caputo fractional derivative, focusing on the Ulam-Hyers stability, the existence and uniqueness of solutions for nonlinear fractional quadratic iterative differential equation by utilizing Schauder?s fixed point theorem, reinforced by the Ascoli-Arzel? theorem. Additionally, we present two illustrative examples to buttress our analytical findings.

Research topics

  • Fractional Differential Equations Solutions
  • Nonlinear Differential Equations Analysis
  • Numerical methods for differential equations

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DOI: 10.2298/fil2502629e

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