Coupled system of a fractional order differential equations with weighted initial conditions

Abstract

Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem. The continuous dependence of the uniqueness of the solution is proved.

Keywords

• riemann-liouville differential operator
• coupled system
• weighted cauchy type problem
• continuous dependence
• 34a08
• 34a12
• 45d05