In this paper, we obtain some new results about weakly singular integral inequalities. These inequalities are used to establish the global existence and uniqueness for fractional differential equations of Riemann–Liouville type. Some examples provided illustrate applicability our main results.

The object of this paper is to present an extension the classical Hadamard fractional integral. We will establish some new results generalized inequalities.

in this paper, we apply the local fractional laplace transform method (or yang-laplace transform) on volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. the iteration procedure is based on local fractional derivative operators. this approach provides us with a convenient way to find a solution ...

In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using integrals containing Mittag-Leffler functions, some well-known results for convex harmonically functions generalized. The paper connected with various published inequalities.