Results 21 to 30 of about 1,337,470 (272)

Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations

open access: yesJournal of Function Spaces, 2020
In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in ...
Feng Gao, Chunmei Chi
doaj   +1 more source

Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]

open access: yes, 2012
This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
core   +1 more source

Bounds of a Unified Integral Operator via Exponentially s,m-Convexity and Their Consequences

open access: yesJournal of Function Spaces, 2020
Various known fractional and conformable integral operators can be obtained from a unified integral operator. The aim of this paper is to find bounds of this unified integral operator via exponentially s,m-convex functions.
Yi Hu   +3 more
doaj   +1 more source

On generalization conformable fractional integral inequalities

open access: yesFilomat, 2018
The main issues addressed in this paper are making generalization of Gronwall, Volterra and Pachpatte type inequalities for conformable differential equations. By using the Katugampola definition for conformable calculus we found some upper and lower bound for integral inequalities.
Usta, Fuat, Sarıkaya, Mehmet Zeki
openaire   +4 more sources

On boundedness of unified integral operators for quasiconvex functions

open access: yesAdvances in Difference Equations, 2020
This work deals with the bounds of a unified integral operator with which several fractional and conformable integral operators are directly associated. By using quasiconvex and monotone functions we establish bounds of these integral operators. We prove
Dongming Zhao   +4 more
doaj   +1 more source

On characterisations of the input to state stability properties for conformable fractional order bilinear systems

open access: yesIET Control Theory & Applications, 2022
This paper proposes for the first time the theoretical requirements that a fractional‐order bilinear system with conformable derivative has to fulfil in order to satisfy different input‐to‐state stability (ISS) properties.
Hasan Abbasi Nozari   +2 more
doaj   +1 more source

A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators

open access: yesAxioms, 2023
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq   +2 more
doaj   +1 more source

Inequalities for a Unified Integral Operator via α,m-Convex Functions

open access: yesJournal of Mathematics, 2020
Recently, a unified integral operator has been introduced by Farid, 2020, which produces several kinds of known fractional and conformable integral operators defined in recent decades (Kwun, 2019, Remarks 6 and 7).
Baizhu Ni   +2 more
doaj   +1 more source

Fractional calculus of periodic distributions [PDF]

open access: yes, 2011
Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson   +5 more
core   +4 more sources

Perbandingan Torka Cogging Generator Integral dan Fractional untuk Pembangkit Listrik Tenaga Tenaga Angin [PDF]

open access: yes, 2023
ABSTRAKPenelitian ini membahas penurunan torka cogging pada generator sinkron magnet permanen untuk untuk aplikasi pada pembangkit listrik tenaga angin.
HUTAPEA, DUMA KRISTINA YANTI   +11 more
core   +1 more source

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