The stability of solutions for a class of nonlinear mixed fractional differential equations
The boundary value problem of a class of coupled systems with Caputo type nonlinear mixed fractional differential equations was studied.Firstly,the existence and uniqueness of system solutions were discussed by Banach compression mapping principle,and the existence of system solutions is studied by Dhage fixed point theorem.Then,the Ulam-Hyers stability,G-Ulam-Hyers stability and Ulam-Hyers-Rassia stability of the system solutions were investigated,and the correctness of the obtained results it was verified by numerical examples.
fractional differential equationsBanach contracting mapping principleDhage fixed point theoremstability
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维普
