Lyapunov type inequalities for mixed nonlinear Riemann-Liouville fractional differential equations with a forcing term

In this paper, we present some new Lyapunov and Hartman type inequalities for RiemannLiouville fractional differential equations of the form (aDx)(t)+p(t)x(t)1x(t)+q(t)x(t)1x(t)=f(t), where p, q, f are real-valued functions and 0<<1<<2. No sign restrictions are imposed on the potential functions p, q and the forcing term f. The inequalities obtained generalize and compliment the existing results for the special cases of this equation in the literature.

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