Existence, uniqueness and stability analysis of a nonlinear coupled system involving mixed ϕ-Riemann-Liouville and ψ-Caputo fractional derivatives

Existence, uniqueness and stability analysis of a nonlinear coupled system involving mixed ϕ-Riemann-Liouville and ψ-Caputo fractional derivatives

Abstract This study delves into the existence, uniqueness, and stability of solutions for a nonlinear coupled system incorporating mixed generalized fractional derivatives. The system is characterized by ψ-Caputo and ϕ-Riemann-Liouville fractional derivatives with mixed boundary conditions. We provi...

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Bibliographic Details
Main Authors: Said Zibar, Brahim Tellab, Abdelkader Amara, Homan Emadifar, Atul Kumar, Sabir Widatalla
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Boundary Value Problems
Subjects:
Fractional differential equations
Fixed point theory
Hyers-Ulam stability
Qualitative analysis
ψ-Caputo fractional derivative
ϕ-Riemann-Liouville fractional derivative
Online Access:https://doi.org/10.1186/s13661-025-01994-z
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https://doi.org/10.1186/s13661-025-01994-z

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