Volume 10, Number 3, 2020, Pages 892-903 DOI:10.11948/20190096 |
Fractional order nonlinear mixed coupled systems with coupled integro-differential boundary conditions |
Bashir Ahmad,Ahmed Alsaedi,Sotiris K. Ntouyas |
Keywords:Riemann-Liouville fractional derivative, Caputo fractional derivative, Riemann-Liouville fractional integral, coupled equations, nonlocal boundary conditions. |
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. |
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