Results 11 to 20 of about 1,337,470 (272)

On new integral inequalities using mixed conformable fractional integrals

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020
Summary: During the past two decades or so, fractional integral operators have been one of the most important tools in the development of inequalities theory. By this means, a lot generalized intergral inequalities involving various the fractional integral operators have been presented in the literature.
Çelik, Barış, Set, Erhan
openaire   +6 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   +4 more sources

Some Generalizations of Opial Type Inequalities for Conformable Fractional Integrals [PDF]

Progress in Fractional Differentiation and Applications, 2020
In the present paper, some new versions of Opial type inequalities for conformable fractional integral are given by using convex functions. © 2020 NSP Natural Sciences Publishing Cor.
Sarıkaya, Mehmet Zeki, Bilisik, C. C.
openaire   +3 more sources

Hermite-Hadamard's inequalities for conformable fractional integrals [PDF]

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   +5 more sources

GENERALIZED k-FRACTIONAL CONFORMABLE INTEGRALS AND RELATED INEQUALITIES

AIMS Mathematics, 2019
In the paper, the authors introduce the generalized $k$-fractional conformable integrals, which are the $k$-analogues of the recently introduced fractional conformable integrals and can be reduced to other fractional integrals under specific values of the parameters involved.
Qi, Feng, Habib, Siddra, Mubeen, Shahid, Naeem, Muhammad Nawaz   +3 more
openaire   +5 more sources

Fractional transformations of generalised functions [PDF]

, 2009
A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson, Khan, Khaula Naeem, McBride, Adam C.   +2 more
core   +4 more sources

Existence of resolvent for conformable fractional Volterra integral equations [PDF]

, 2020
In this paper, we consider the conformable fractional Volterra integral equation. We study the existence of a resolvent kernel corresponding to conformable fractional Volterra integral equation.
Bukhsh, Khizra, Younus, Awais, Tunç, Cemil   +2 more
core   +3 more sources

On nabla conformable fractional Hardy-type inequalities on arbitrary time scales

Journal of Inequalities and Applications, 2021
The main aim of the present article is to introduce some new ∇-conformable dynamic inequalities of Hardy type on time scales. We present and prove several results using chain rule and Fubini’s theorem on time scales.
Ahmed A. El-Deeb, Samer D. Makharesh, Eze R. Nwaeze, Olaniyi S. Iyiola, Dumitru Baleanu   +4 more
doaj   +1 more source

The existence analysis of solutions for initial value problems of nonlinear conformable fractional delayed differential equations

上海师范大学学报. 自然科学版, 2021
In this paper, we establish several existence and uniqueness results of solutions for initial value problems of nonlinear fractional delayed differential equations in the sense of conformable fractional derivative.
WANG Sen, JIANG Wei
doaj   +1 more source

Ostrowski type inequalities involving conformable fractional integrals [PDF]

Journal of Inequalities and Applications, 2018
En el artículo, establecemos varias desigualdades de tipo Ostrowski que involucran las integrales fraccionarias conformables. Como aplicaciones, encontramos nuevas desigualdades para las medias aritméticas y logarítmicas generalizadas.
Muhammad Adil Khan, Sumbel Begum, Yousaf Khurshid, Yu‐Ming Chu   +3 more
openaire   +3 more sources