Axioms | Free Full-Text | On a New Generalized Integral Operator and Certain Operating
Properties Next Article in Journal Existence Results for Nonlocal Multi-Point and Multi-Term …

This study investigates the h‐fractional difference operators with h‐discrete generalized
Mittag‐Leffler kernels (h E ϕ, δ‾ ω (Θ, t− ρ h (sh)) in the sense of Riemann type (namely, the …

In this paper, a two-dimensional conformable fractional wave equation describing a circular
membrane undergoing axisymmetric vibrations is formulated. It was found that the analytical …

A specific type of convex functions is discussed. By examining this, we investigate new
Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators …

In this article, we consider the analytic solutions of the uncertain fractional backward
difference equations in the sense of Riemann–Liouville fractional operators which are …

Monotonicity analysis of delta fractional sums and differences of order υ∈(0, 1] on the time
scale h Z are presented in this study. For this analysis, two models of discrete fractional …

In this paper, we obtained new integral inequalities of theHermite–Hadamard type for
convex and quasi–convex functions in a generalizedcontext. AMS (MOS) Subject …

In this paper, we present the monotonicity analysis for the nabla fractional differences with
discrete generalized Mittag-Leffler kernels (a− 1 ABR∇ δ, γ y)(η) of order 0< δ< 0.5, β= 1, 0< …

We consider the well-known classes of functions U 1 (v, k) U_1(v,k) and U 2 (v, k) U_2(v,k),
and those of Opial inequalities defined on these classes. In view of these indices, we …

The usual approach to the integration of fractional order initial value problems is based on
the Caputo derivative, whose initial conditions are used to formulate the classical integral …