Results 41 to 50 of about 312,160 (271)

New inequalities of Opial type for conformable fractional integrals [PDF]

, 2017
WOS: 000412021500008In this paper, some Opial-type inequalities for conformable fractional integrals are obtained using the remainder function of Taylor's theorem for conformable ...
Mehmet Zeki SARIKAYA, Sarıkaya, Mehmet Zeki, Hüseyin BUDAK, Budak, Hüseyin, Sarikaya, Mehmet Zeki   +4 more
core   +1 more source

Hermite-Hadamard's inequalities for conformable fractional integrals

An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2019
In this paper, we establish the Hermite-Hadamard type inequalities forconformable fractional integral and we will investigate some integralinequalities connected with the left and right-hand side of theHermite-Hadamard type inequalities for conformable fractional integral. Theresults presented here would provide generalizations of those given inearlier
Mehmet Zeki Sarıkaya, Abdullah Akkurt, Hüseyin Budak, Merve Esra Yıldırım, Hüseyin Yıldırım   +4 more
openaire   +4 more sources

Some modifications in conformable fractional integral inequalities [PDF]

Advances in Difference Equations, 2020
AbstractThe prevalence of the use of integral inequalities has dramatically influenced the evolution of mathematical analysis. The use of these useful tools leads to faster advances in the presentation of fractional calculus. This article investigates the Hermite–Hadamard integral inequalities via the notion of Ϝ-convexity. After that, we introduce the
Dumitru Băleanu, Pshtiwan Othman Mohammed, Miguel Vivas–Cortez, Yenny Rangel-Oliveros   +3 more
openaire   +3 more sources

Some fractional proportional integral inequalities

Journal of Inequalities and Applications, 2019
In the last few years, various researchers studied the so-called conformable integrals and derivatives. Based on that notion some authors used modified conformable derivatives (proportional derivatives) to generate nonlocal fractional integrals and ...
Gauhar Rahman, Thabet Abdeljawad, Aftab Khan, Kottakkaran Sooppy Nisar   +3 more
doaj   +1 more source

Existence and Uniqueness Study of the Conformable Laplace Transform

Journal of Mathematics, 2022
This paper tackles the topic of conformable Laplace transform. The authors aim at discussing its existence by exploring and providing the kind of functions that possess a conformable Laplace transform.
Jihad Younis, Bouchenak Ahmed, Mazin AlJazzazi, Rasha Al Hejaj, Hassen Aydi   +4 more
doaj   +1 more source

On boundedness of unified integral operators for quasiconvex functions

Advances 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, Ghulam Farid, Muhammad Zeb, Sohail Ahmad, Kahkashan Mahreen   +4 more
doaj   +1 more source

On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function

Advances in Difference Equations, 2020
The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar, Gauhar Rahman, Dumitru Baleanu, Muhammad Samraiz, Sajid Iqbal   +4 more
doaj   +1 more source

New generalized Pólya–Szegö and Čebyšev type inequalities with general kernel and measure

Advances in Difference Equations, 2020
It is always attractive and motivating to acquire the generalizations of known results. In this article, we introduce a new class C ( h ) $\mathfrak{C(h)}$ of functions which can be represented in a form of integral transforms involving general kernel ...
S. Iqbal, M. Samraiz, Thabet Abdeljawad, Kottakkaran Sooppy Nisar, G. Rahman, M. Adil Khan   +5 more
doaj   +1 more source

ON SOME BULLEN-TYPE INEQUALITIES VIA CONFORMABLE FRACTIONAL INTEGRALS [PDF]

, 2019
In this study, the Author has established a new lemma for α-differentiable function and some inequalities of Bullen-type inequalities for conformable fractional integrals. Some applications are also given.
Musa ÇAKMAK, ÇAKMAK, Musa
core   +1 more source

New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals

Journal of Inequalities and Applications, 2020
This paper gives some novel generalizations by considering the generalized conformable fractional integrals operator for reverse Minkowski type and reverse Hölder type inequalities. Furthermore, novel consequences connected with this inequality, together
Saima Rashid, Ahmet Ocak Akdemir, Kottakkaran Sooppy Nisar, Thabet Abdeljawad, Gauhar Rahman   +4 more
doaj   +1 more source