Results 121 to 130 of about 4,892 (236)

Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations

open access: yesJournal of Function Spaces, 2018
We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type ...
Muhammad Adil Khan   +4 more
doaj   +1 more source

The Generalized Fractional Calculus of Variations

open access: yes, 2014
We review the recent generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them using indirect methods.
Odzijewicz, Tatiana   +1 more
core  

Hermite-Hadamard Type Inequalities for (α, m)- Convex Functions via Fractional Integrals

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
In this paper, we establish Hermite-Hadamard type inequalities for (α, m)-convex functions via fractional integrals.
Set Erhan   +3 more
doaj   +1 more source

A Generalized Fractional Calculus of Variations

open access: yes, 2013
We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional integrals and derivatives.
Malinowska, Agnieszka B.   +2 more
core  

New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals

open access: yesBoundary Value Problems
The Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed.
Maria Tariq   +3 more
doaj   +1 more source

Existence of Solutions for a Hadamard Fractional Boundary Value Problem at Resonance

open access: yesFractal and Fractional
We explore the existence of solutions for a Hadamard fractional differential equation, subject to nonlocal boundary conditions, which contain Hadamard fractional derivatives and Riemann–Stieltjes integrals.
Rodica Luca, Alexandru Tudorache
doaj   +1 more source

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