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Riemann-Liouville fractional differential equations with Hadamard fractional integral conditions

Jessada Tariboon, Sotiris K. Ntouyas, Phollakrit Thiramanus


In this paper we study a new class of boundary value problems consisting from a fractional differential equation of Riemann-Liouville type subject to the Hadamard fractional integral conditions. Existence and uniqueness results are obtained by using a variety of fixed point theorems. Examples illustrating the obtained results are also presented.


Riemann-Liouville fractional derivative, Hadamard fractional integral, existence, uniqueness, fixed point theorems.

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