Positivity analysis is used with some basic conditions to analyse monotonicity across all discrete fractional disciplines. This article addresses the of nabla differences Riemann–Liouville type by considering positivity ∇b0RLθg(z) combined a condition on g(b0+2), g(b0+3) and g(b0+4), successively. The ends relationship between integer type, which serves show difference ∇b0RLθg(z).

Taking inspiration from a recent paper by Bergounioux et al., we study the Riemann-Liouville fractional Sobolev space \begin{document}$ W^{s, p}_{RL, a+}(I) $\end{document}, for id="M2">\begin{document}$ I = (a, b) $\end{document} some id="M3">\begin{document}$ a, b \in \mathbb...

We study mixed Riemann-Liouville fractional integration operators and derivative in Marchaud form of function two variables Hölder spaces different orders each variables. The obtained are results generalized to the case with power weight.

We study the nonlocal boundary value problem for a mixed type equation with Riemann–Liouville fractional partial derivative. In hyperbolic part of domain, functional is solved by iteration method. The reduced to solving differential equation.

We establish some properties of the bilateral Riemann–Liouville fractional derivative Ds. set notation, and study associated Sobolev spaces order s, denoted by Ws,1(a,b), bounded variation BVs(a,b). Examples, embeddings compactness related to these are addressed, aiming a functional framework suitable for variational models image analysis.