Results 31 to 40 of about 6,804 (192)

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

Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for generalized fractional integrals

Journal of Mathematical Analysis and Applications, 2017
Accepted Manuscript. 14 pages, Journal of Mathematical Analysis and Applications (2016)
Chen, Hua, Katugampola, Udita N.
openaire   +2 more sources

New general integral inequalities for some GA-convex and quasi-geometrically convex functions via fractional integrals [PDF]

, 2013
In this paper, the author introduces the concept of the quasi-geometrically convex and defines a new identity for fractional integrals. By using of this identity, author obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type ...
Iscan, Imdat
core   +2 more sources

Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions

Journal of Mathematics, 2020
In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung, Muhammad Yussouf, Yu-Ming Chu, Ghulam Farid, Shin Min Kang   +4 more
doaj   +1 more source

Fejér–Hadamard Type Inequalities for (α, h-m)-p-Convex Functions via Extended Generalized Fractional Integrals

Fractal and Fractional, 2021
Integral operators of a fractional order containing the Mittag-Leffler function are important generalizations of classical Riemann–Liouville integrals. The inequalities that are extensively studied for fractional integral operators are the Hadamard type ...
Ghulam Farid, Muhammad Yussouf, Kamsing Nonlaopon   +2 more
doaj   +1 more source

Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative [PDF]

, 2011
We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given.
Almeida, R., Pooseh, S., Torres, D. F. M.   +2 more
core   +4 more sources

Error estimates of a high order numerical method for solving linear fractional differential equations [PDF]

, 2016
In this paper, we first introduce an alternative proof of the error estimates of the numerical methods for solving linear fractional differential equations proposed in Diethelm [6] where a first-degree compound quadrature formula was used to approximate ...
Adolfsson, Adolfsson, Amblard, Barkai, Diethelm, Diethelm, Diethelm, Diethelm, Elliott, Ervin, Ervin, Ford, Ford, Ford, Ford, Gao, Gao, Gao, Henry, Henry, Jiang, Langlands, Li, Li, Li, Li, Lin, Lin, Liu, Liu, Müller, Neville J. Ford, Podlubny, Scher, Schneider, Sun, Wyss, Yan, Yubin Yan, Zhiqiang Li   +39 more
core   +1 more source

On positive solutions of a system of equations generated by Hadamard fractional operators

Advances in Difference Equations, 2020
This paper is devoted to studying some systems of quadratic differential and integral equations with Hadamard-type fractional order integral operators.
Amira M. Abdalla, Hussein A. H. Salem, Kinga Cichoń   +2 more
doaj   +1 more source

Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function

Fractal and Fractional, 2023
For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
doaj   +1 more source

Integral Boundary Value Problems for Implicit Fractional Differential Equations Involving Hadamard and Caputo-Hadamard fractional Derivatives [PDF]

Kragujevac Journal of Mathematics, 2021
In this paper, we examine the existence and uniqueness of integral boundary value problem for implicit fractional differential equations (IFDE’s) involving Hadamard and Caputo-Hadamard fractional derivative. We prove the existence and uniqueness results by utilizing Banach and Schauder’s fixed point theorem.
Karthikeyan, P., Arul, R.
openaire   +2 more sources