The Hermite-Hadamard inequalities for κ-Riemann-Liouville fractional integrals (R-LFI) are presented in this study using a relatively novel approach based on Abel-Gontscharoff Green’s function. In new technique, we first established some integral identities. Such identities used to obtain results monotonic functions whose second derivative is convex (concave) absolute value. Some previously pub...

The fuzzy-number valued up and down λ-convex mapping is originally proposed as an intriguing generalization of the convex mappings. newly suggested mappings are then used to create certain Hermite–Hadamard- Pachpatte-type integral fuzzy inclusion relations in fractional calculus. It also revise Hermite–Hadamard inclusions with regard (U∙D F-N∙V∙Ms). Moreover, Hermite–Hadamard–Fejér has been pro...

In this paper, we study the existence and uniqueness of Hadamard Itô-Doob Stochastic Fractional Order Systems (HIDSFOS) using Picard iteration method. Different from previous works, our paper presents a new theory fractional integral. We have proved convergence solution averaged HIDSFOS to that standard in sense mean square also probability. Some examples are given at end illustrate theoretical...

In present paper, we use fractional integral and Wanas differential operator to obtain some subordination superordination results associated with Hadamard product for univalent analytic functions defined in the open unit disk. These are applied sandwich results. Our extend corresponding previously known

We consider the Steffensen–Hayashi inequality and remainder identity for V-fractional differentiable functions involving six parameters truncated Mittag–Leffler function Gamma function. In view of these, we obtain some integral inequalities Steffensen, Hermite–Hadamard, Chebyshev, Ostrowski, Grüss type to calculus.

In the current paper, some existence and uniqueness results for a generalized proportional Hadamard fractional integral equation are established via Picard Picard-Krasnoselskii iteration methods together with Banach contraction principle. A simulative example was provided to verify applicability of theoretical findings.

In this paper, We study the existence of positive solutions for Hadamard fractional differential equations with integral conditions. employ Avery-Peterson fixed point theorem and properties Green's function to show our problem. Furthermore, we present an example illustrate main result.

Recently, the importance of fractional differential equations in field applied science has gained more attention not only mathematics but also electrodynamics, control systems, economic, physics, geophysics and hydrodynamics. Among many are kinetic equations. Fractional-order Equations (FOKEs) a unifying tool for description load vector behavior disorderly media. In this article, we employ Hada...