Results 81 to 90 of about 291,483 (125)

New fractional Hermite–Hadamard and Fejér inequalities involving special functions with applications to numerical quadrature rules

open access: yesJournal of Nigerian Society of Physical Sciences
The principal objective of this article is to establish new and refined variants of Hermite--Hadamard- and Fej'{e}r-type integral inequalities in the interval-valued setting by exploiting the auxiliary transformed mapping mathcal{G}(s) := mathcal{F}(s ...
Haitham Qawaqneh   +8 more
doaj   +1 more source

Combining Fractional Derivatives and Machine Learning: A Review. [PDF]

open access: yesEntropy (Basel), 2022
Raubitzek S, Mallinger K, Neubauer T.
europepmc   +1 more source

ON MULTIPLICATIVE FRACTIONAL OPERATORS OF HADAMARD AND KATUGAMPOLA TYPES IN G-CALCULUS AND RELATED HERMITE–HADAMARD INEQUALITIES

open access: yes
This paper explores the extension of classical fractional operators to the framework of G-calculus, a non-Newtonian calculus in which differentiation and integration are defined via multiplicative analogs of their classical counterparts.
Abdeljawad, Thabet   +4 more
core   +1 more source

Twin Positive Solutions of a Katugampola Fractional Boundary Value Problem

open access: yes
This article establishes sufficient conditions for twin positive solutions to a well‐posed two‐point boundary value problem (BVP) with separated boundary conditions involving the Katugampola fractional derivative.
Jagan Mohan Jonnalagadda   +2 more
core   +1 more source

Fractional smoothness and applications in Finance [PDF]

open access: yes
This overview article concerns the notion of fractional smoothness of random variables of the form $g(X_T)$, where $X=(X_t)_{t\in [0,T]}$ is a certain diffusion process.
Stefan Geiss, Emmanuel Gobet
core  

Necessary optimality conditions for fractional action-like problems with intrinsic and observer times [PDF]

open access: yes, 2008
We prove higher-order Euler-Lagrange and DuBois-Reymond stationary conditions to fractional action-like variational problems.
Frederico, G.S.F., Torres, D.F.M.
core   +1 more source

Some inequalities for conformable fractional integrals by using a parameter

open access: yes
In this chapter, we particularly focus on the inequalities for Riemann-Liouville fractional integrals and conformable fractional integrals. We first present the known Hermite-Hadamard inequalities for these integrals and the corresponding midpoint-and ...
Hezenci, Fatih   +2 more
core   +1 more source

Fractional robust control of ligthly damped systems [PDF]

open access: yes, 2006
The article proposes a method to design a robust controller ensuring the damping ratio of a closed-loop control. The method uses a contour para-meterized by the damping ratio in the Nichols plane and the complex non-integer (or fractional)differentiation
Janat, Yaman   +3 more
core  

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