Results 21 to 30 of about 290 (254)

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

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

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

The analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalities

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   +1 more source

Certain mean-type fractional integral inequalities via different convexities with applications

Journal of Inequalities and Applications, 2020
In this paper, we establish certain generalized fractional integral inequalities of mean and trapezoid type for ( s + 1 ) $(s+1)$ -convex functions involving the ( k , s ) $(k,s)$ -Riemann–Liouville integrals.
Muhammad Samraiz, Fakhra Nawaz, Sajid Iqbal, Thabet Abdeljawad, Gauhar Rahman, Kottakkaran Sooppy Nisar   +5 more
doaj   +1 more source

The Minkowski inequalities via generalized proportional fractional integral operators

Advances in Difference Equations, 2019
Recent research has gained more attention on conformable integrals and derivatives to derive the various type of inequalities. One of the recent advancements in the field of fractional calculus is the generalized nonlocal proportional fractional ...
Gauhar Rahman, Aftab Khan, Thabet Abdeljawad, Kottakkaran Sooppy Nisar   +3 more
doaj   +1 more source

Some Opial type inequalities for conformable fractional integrals

AIP Conference Proceedings, 2018
In this paper, we establish some generalization of Opial type inequalities for conformable fractional integral.
Sarıkaya, Mehmet Zeki, Bilişik, Candan Can   +1 more
openaire   +1 more source

Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals

Journal of Inequalities and Applications, 2020
In this paper, we obtain the Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals. We also discuss some special cases.
Naila Mehreen, Matloob Anwar
doaj   +1 more source

Regulated Ion‐Diffusion Hydrogels for Subtle and Multimodal Temperature‐Strain Sensing in Wound Monitoring

Advanced Functional Materials, EarlyView.
A soft, dual‐channel hydrogel patch enables simultaneous detection of wound temperature and strain by integrating ion‐diffusion‐mediated thermoelectric and resistive sensing. The conformal design maintains stable performance during motion, capturing subtle inflammatory and mechanical changes for continuous wound monitoring.
Yu Fang, Xinglong Pan, Zhiwei Li, Wanheng Lu, Chang Liu, Yi Zhou, Guo Tian, Ghim Wei Ho   +7 more
wiley   +1 more source

On results of parameterized inequalities associated with conformable fractional integrals

Miskolc Mathematical Notes
In the present article, an equality is established for the case of differentiable convex functions associated with the conformable fractional integrals.
Hüseyin Budak, Cihan Ünal, Fatih Hezenci   +2 more
doaj   +1 more source