Existence and Uniqueness of Solutions for Atangana-Baleanu Fractional Differential Equations in Caputo-Sense

Key Points

• The study reveals the existence of solutions for Atangana-Baleanu fractional differential equations, supporting theoretical advances.
• Applying Monch's fixed point theorem establishes solution existence, while the Banach contraction principle determines uniqueness.
• A practical example illustrates the theoretical findings, showcasing various fractional orders of solutions.
• The implications highlight the importance of both uniqueness and existence in understanding fractional differential equations.

Abstract