Results 81 to 90 of about 1,352,109 (152)

BOX DIMENSION OF HADAMARD FRACTIONAL INTEGRAL OF CONTINUOUS FUNCTIONS OF BOUNDED AND UNBOUNDED VARIATION

, 2017
The present paper investigates fractal dimension of Hadamard fractional integral of continuous functions of bounded and unbounded variation. It has been proved that Hadamard fractional integral of continuous functions of bounded variation still is ...
JUN HUAI DU, XIAO ER WU
core   +1 more source

Generalized multiplicative h-fractional integrals and derivatives with Hermite-Hadamard inequality

Journal of Inequalities and Applications
In this study, we introduce new generalized multiplicative h-fractional integral and h-fractional derivative operators by employing multiplicative calculus within the framework of fractional analysis.
Umut Bas, Huseyin Yildirim
doaj   +1 more source

Refinements of some fractional integral inequalities involving extended convex functions and fractional Caputo derivatives

Journal of Inequalities and Applications
This article examines famous fractional Hermite–Hadamard integral inequalities through the applications of fractional Caputo derivatives and extended convex functions. We develop modifications involving two known classical fractional extended versions of
Muhammad Imran, Shahid Mubeen, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +1 more source

Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functions

Le Matematiche, 2015
By utilizing two  fractional integral identities and elementaryinequalities via geometric-geometric (GG for short) convex functions, we derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals.
Shenda Liu, JinRong Wang
doaj  

Fractional calculus of periodic distributions [PDF]

, 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, Khan, Khaula Naeem, Mcbride, Adam   +2 more
core  

Studies on a new K-symbol analytic functions generated by a modified K-symbol Riemann-Liouville fractional calculus. [PDF]

MethodsX, 2023
Aldawish I, Ibrahim RW.
europepmc   +1 more source

Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

International Journal of Analysis and Applications, 2018
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
doaj  

Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay. [PDF]

Fract Calc Appl Anal, 2022
He BB, Zhou HC, Kou CH.
europepmc   +1 more source

Newton-type inequalities for the class of modified hyperbolic p-convex functions via Riemann-Liouville fractional integrals with numerical justifications. [PDF]

PLoS One
Iqra I, Nosheen A, Khan KA, Riaz S, Kahungu MK.   +4 more
europepmc   +1 more source

New adaptive memory stochastic fractional operators and their applications in computational intelligence. [PDF]

Sci Rep
Khan TU, Al-Juaid BS, Markarian C.
europepmc   +1 more source