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Fractional order nonlinear mixed coupled systems with coupled integro-differential boundary conditions
Authors:Bashir Ahma  Ahmed Alsaedi and Sotiris K Ntouyas
Institution:King Abdulaziz University,King Abdulaziz University and University of Ioannina
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.
Keywords:Riemann-Liouville fractional derivative  Caputo fractional derivative  Riemann-Liouville fractional integral  coupled equations  nonlocal boundary conditions  
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