In this paper, we investigate a sequential fractional boundary value problem which contains a combination of Hilfer and Caputo fractional derivative operators and non-separated boundary conditions. We establish the existence… Click to show full abstract
In this paper, we investigate a sequential fractional boundary value problem which contains a combination of Hilfer and Caputo fractional derivative operators and non-separated boundary conditions. We establish the existence of a unique solution via Banach’s fixed point theorem, while by applying Leray–Schauder’s nonlinear alternative, we prove an existence result. Finally, examples are provided to demonstrate the results obtained.
Keywords:
caputo fractional;
hilfer caputo;
separated boundary;
boundary conditions;
mixed hilfer;
non separated
Journal Title: Mathematics
Year Published: 2024
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Journal Title: Mathematics
Year Published: 2024
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!