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Fractional order nonlinear mixed coupled systems with coupled integro-differential boundary conditions
Bashir Ahmad,Ahmed Alsaedi,Sotiris K. Ntouyas
Keywords:Riemamm-Liouville fractional derivative; Caputo fractional derivative; Riemamm-Liouville fractional integral; coupled system; nonlocal boundary conditions; fixed point theorem.
Abstract:
      We study the existence and uniqueness of solutions for a class of coupled fractional differential equations involving both Riemann-Liouville and Caputo fractional derivatives, and coupled integro-differential boundary conditions. We derive the desired results with the aid of modern methods of functional analysis. An example illustrating the abstract results is also presented.