Results 31 to 40 of about 1,337,470 (272)

Integral inequalities for s-convex functions via generalized conformable fractional integral operators

Advances in Difference Equations, 2020
We introduce new operators, the so-called left and right generalized conformable fractional integral operators. By using these operators we establish new Hermite–Hadamard inequalities for s-convex functions and products of two s-convex functions in the ...
Artion Kashuri, Sajid Iqbal, Rozana Liko, Wei Gao, Muhammad Samraiz   +4 more
doaj   +1 more source

Hermite–Hadamard type inequalities for conformable fractional integrals

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adil Khan, M, Ali, Tahir, Dragomir, Sever S, Sarikaya, MZ   +3 more
openaire   +2 more sources

A Variety of Nabla Hardy’s Type Inequality on Time Scales

Mathematics, 2022
The primary goal of this research is to prove some new Hardy-type ∇-conformable dynamic inequalities by employing product rule, integration by parts, chain rule and (γ,a)-nabla Hölder inequality on time scales.
Ahmed A. El-Deeb, Samer D. Makharesh, Sameh S. Askar, Jan Awrejcewicz   +3 more
doaj   +1 more source

Novel improved fractional operators and their scientific applications

Advances in Difference Equations, 2021
The motivation of this research is to introduce some new fractional operators called “the improved fractional (IF) operators”. The originality of these fractional operators comes from the fact that they repeat the method on general forms of conformable ...
Abd-Allah Hyder, M. A. Barakat
doaj   +1 more source

Fractional variational problems depending on indefinite integrals [PDF]

, 2012
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor, Pooseh, S., Almeida, R., Almeida, Ricardo, Delfim F.M. Torres, Shakoor Pooseh, Torres, D.F.M., Ricardo Almeida, Torres, Delfim F. M.   +8 more
core   +1 more source

Approximate solution of the conformable integro-differential equations

Miskolc Mathematical Notes
In this paper, fractional linear and nonlinear integro-differential equations are solved by using an iteration method. Fractional derivative and fractional integral are considered in the conformable sense. The conformable integro-differential equation is
Handan Çerdik Yaslan
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

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

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

On Some Milne–Mercer-Type Inequalities via Atangana–Baleanu Conformable Fractional Integrals for h-Convex Functions

Mathematics
In this paper, we establish new Milne–Mercer-type inequalities via Atangana–Baleanu conformable fractional integral operators for differentiable functions whose derivatives in absolute value are h-convex.
Jen Chieh Lo
doaj   +1 more source