In this paper, we prove the existence of a solution fractional hybrid differential equation involving Riemann-Liouville and integral operators by utilizing new version Kransoselskii-Dhage type fixed-point theorem obtained in [13]. Moreover, provide an example to support our result.

<p style='text-indent:20px;'>In this paper we study the Riemann-Liouville fractional integral of order <inline-formula><tex-math id="M1">\begin{document}$ \alpha>0 $\end{document}</tex-math></inline-formula> as a linear operator from id="M2">\begin{document}$ L^p(I,X) into itself, when id="M3">\begin{document}$ 1\leq p\leq \infty $\end{document}</te...

In this paper, we establish different variants of fractional Hermite-Hadamard inequalities for subadditive functions via Riemann-Liouville integrals. Moreover, offer some integral the product two It is also shown that offered in research are generalization already given convex and functions.

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.

Using the reviewed Riemann-Liouville fractional derivative we define the bundle αk E = Osc(M) and highlight geometrical structures with a geometrical character. Also, we introduce the fractional osculator Lagrange space of k order and the main structures on it. The results are applied at the k order fractional prolongation of Lagrange, Finsler and Riemann fractional structures. Mathematics Subj...