Monotone Iterative Technique for Caputo Fractional Differential Equations with Deviating Arguments

D. B. Dhaigude, B. H. Rizqan
2018 Annals of Pure and Applied Mathematics  
In this paper, we obtain the existence and uniqueness of solution for fractional differential equation involving the Caputo fractional derivative with deviating argument. The uniqueness of solution is obtained by using a Banach fixed point theorem also the existence of extremal solutions are obtained by a monotone iterative technique and the method of lower and upper solutions. Finally, some examples illustrate the results.
doi:10.22457/apam.v16n1a20 fatcat:sjifrcjkgnghdmyg55mbahtppq