Results 1 to 10 of about 13,199 (264)

General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function [PDF]

Journal of Inequalities and Applications, 2018
In this paper some new general fractional integral inequalities for convex and m-convex functions by involving an extended Mittag-Leffler function are presented. These results produce inequalities for several kinds of fractional integral operators.
G. Farid, K. A. Khan, N. Latif, A. U. Rehman, S. Mehmood   +4 more
doaj   +2 more sources

Certain New Chebyshev and Grüss-Type Inequalities for Unified Fractional Integral Operators via an Extended Generalized Mittag-Leffler Function

Fractal and Fractional, 2022
In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
doaj   +2 more sources

New approach to a generalized fractional integral [PDF]

Applied Mathematics and Computation, 2011
The paper presents a new formula for the fractional integration, which generalizes the Riemann-Liouville and Hadamard fractional integrals into a single form, which when a parameter fixed at different values, produces the above integrals as special cases.
Udita N Katugampola
exaly   +3 more sources

Tempered Fractional Integral Inequalities for Convex Functions

Mathematics, 2020
Certain new inequalities for convex functions by utilizing the tempered fractional integral are established in this paper. We also established some new results by employing the connections between the tempered fractional integral with the (R-L ...
Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +2 more
doaj   +3 more sources

The Study of Fractional Quadratic Integral Equations Involves General Fractional Integrals

Fractal and Fractional
This paper investigates the well-posedness of analytical solutions to fractional quadratic differential equations, which involve generalized fractional integrals with respect to other functions.
Mi Zhou, Hengtai Wang, Zhenghua Xu, Lu Zhang   +3 more
doaj   +2 more sources

General Fractional Vector Calculus

Mathematics, 2021
A generalization of fractional vector calculus (FVC) as a self-consistent mathematical theory is proposed to take into account a general form of non-locality in kernels of fractional vector differential and integral operators.
Vasily E. Tarasov
doaj   +1 more source

General Fractional Integrals and Derivatives with the Sonine Kernels

Mathematics, 2021
In this paper, we address the general fractional integrals and derivatives with the Sonine kernels on the spaces of functions with an integrable singularity at the point zero.
Yuri Luchko
doaj   +1 more source

Fractional generalization of Kac integral [PDF]

Communications in Nonlinear Science and Numerical Simulation, 2008
Generalization of the Kac integral and Kac method for paths measure based on the Levy distribution has been used to derive fractional diffusion equation. Application to nonlinear fractional Ginzburg-Landau equation is discussed.
Tarasov, Vasily E., Zaslavsky, George M.
openaire   +2 more sources

E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES

Проблемы анализа, 2020
Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities.
G. A. Anastassiou
doaj   +1 more source

New general Grüss-type inequalities over σ-finite measure space with applications

Advances in Difference Equations, 2020
In this paper, we establish some new integral inequalities involving general kernels. We obtain the related broad range of fractional integral inequalities.
Sajid Iqbal, Muhammad Adil Khan, Thabet Abdeljawad, Muhammad Samraiz, Gauhar Rahman, Kottakkaran Sooppy Nisar   +5 more
doaj   +1 more source