Existence and Stability of Solution for Fractional Langevin Equations with Delay and Nonlocal Boundary Conditions
We consider the existence and stability of solution for a class of fractional Langevin equations with delay and nonlocal boundary conditions.Firstly,Burton and Kirk fixed point theorem and contraction mapping principle are used to prove the existence and uniqueness of solution.Secondly,we discuss a result regarding the Hyers-Ulam stability of this problem.Finally,an example is given to illustrate the validity of the obtained result.
Fractional Langevin equationDelayFixed point theoremHyers-Ulam stability
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