Results 101 to 110 of about 6,804 (192)

Hadamard functional fractional integrals and derivatives and fractional differential equations

Filomat
This paper introduces a general type of new version of Hadamard fractional integrals and derivatives with respect to another function and studies some of their properties. Further, we prove the existence results for fractional differential equations with this Hadamard type fractional derivative.
K. Balachandran, M. Matar, N. Annapoorani, D. Prabu   +3 more
openaire   +1 more source

Intuitionistic Fuzzy Riemann-Liouville and Hadamard Fractional ⊗Integrals

Earthline Journal of Mathematical Sciences
In this study, we introduce intuitionistic fuzzy Riemann-Liouville and Hadamard fractional ⊗integrals of intuitionistic fuzzy valued functions and obtain some of their basic properties. We also give some examples to illustrate the obtained results.
openaire   +1 more source

Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]

, 2017
Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
openaire   +1 more source

An extension of Hadamard fractional integral

International Journal of Mathematical Analysis, 2015
G. Farid, G. M. Habibullah
openaire   +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

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 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  

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   +2 more sources

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