Approximations of Solutions to a Fractional Differential Equation with a Deviating Argument
نویسندگان
چکیده
In the present study, a fractional order differential equation with deviating argument is considered in a separable Hilbert space H . We will prove the existence and convergence of an approximate solution for the given problem by using the analytic semigroup theory and the fixed point method. Finally, we consider the Faedo-Galerkin approximation of the solution and prove some convergence results.
منابع مشابه
Approximation of Solutions of a Stochastic Fractional Differential Equation with Deviating Argument
The existence, uniqueness approximate solutions of a stochastic fractional differential equation with deviating argument is studied. Analytic semigroup theory and fixed point method is used to prove our results. Then we considered Faedo-Galerkin approximation of solution and proved some convergence results. We also studied an example to illustrate our result.
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