Results 1 to 10 of about 1,337,470 (272)
The Minkowski inequality involving generalized k-fractional conformable integral
Journal of Inequalities and Applications, 2019 In the research paper, the authors exploit the definition of a new class of fractional integral operators, recently proposed by Jarad et al. (Adv. Differ. Equ.
Shahid Mubeen +2 more
doaj +5 more sources
Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators
Mathematics, 2019 Since an interesting functional by P.L. Chebyshev was presented in the year 1882, many results, which are called Chebyshev-type inequalities, have been established. Some of these inequalities were obtained by using fractional integral operators.
Gauhar Rahman +4 more
doaj +4 more sources
Some Improvements of Conformable Fractional Integral Inequalities [PDF]
International Journal of Analysis and Applications, 2017 In this study, we wish to set up and present some new conformable fractional integral inequalities of the Gronwall type which have a great variety of implementation area in differential and integral equations.
Fuat Usta, Mehmet Zeki Sarıkaya
doaj +7 more sources
The analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalities [PDF]
Demonstratio Mathematica, 2019 In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several ...
Usta Fuat, Sarıkaya Mehmet Zeki
doaj +4 more sources
Steffensen's integral inequality for conformable fractional integrals [PDF]
International Journal of Analysis and Applications, 2017 The aim of this paper is to establish some Steffensen’s type inequalities for conformable fractional integral. The results presented here would provide generalizations of those given in earlier works.
Mehmet Zeki Sarikaya +2 more
doaj +9 more sources
A modification to the conformable fractional calculus with some applications
Alexandria Engineering Journal, 2020 In the conformable fractional calculus, TαTβ≠TβTα and IαIβ≠IβIα, where Tα and Iα are conformable fractional differential and integral operators, respectively. Also, Tβ≠Tnα and Iβ≠Inα, where β=nα for some n∈N.
Ahmad El-Ajou
doaj +2 more sources
Chebyshev type inequalities via generalized fractional conformable integrals
Journal of Inequalities and Applications, 2019 Our aim in this present paper is to establish several Chebyshev type inequalities involving generalized fractional conformable integral operator recently introduced by T.U. Khan and M.A. Khan (J. Comput. Appl. Math. 346:378–389, 2019).
Kottakkaran Sooppy Nisar +2 more
doaj +3 more sources
On Some Integral Inequalities via Conformable Fractional Integrals [PDF]
Applied Mathematics and Nonlinear Sciences, 2020 Abstract In the present note, we have given a new integral identity via Conformable fractional integrals and some further properties. We have proved some integral inequalities for different kinds of convexity via Conformable fractional integrals.
Akdemir, Ahmet Ocak +6 more
openaire +4 more sources
Mathematics, 2021 The primary goal of this our research is to prove several new ∇-conformable dynamic Steffensen inequalities that were demonstrated in recent works. Our results generalize and extend existing results in the literature.
Ahmed A. El-Deeb, Jan Awrejcewicz
doaj +1 more source
Chebyshev type inequalities for conformable fractional integrals [PDF]
Miskolc Mathematical Notes, 2019 In this article, firstly some necessary definitions and results involving fractional integrals are given. Secondly, a new identity involving conformable fractional integrals is given. Then, by using this identity, we establish new Chebyshev inequalities for the Chebyshev functional via conformable fractional integral.
Set, Erhan +6 more
openaire +3 more sources