Results 41 to 50 of about 12,310,207 (201)
ON GENERALIZED FRACTIONAL INTEGRALS
Taiwanese Journal of Mathematics, 2001 The author introduces generalized fractional integrals and extends the Hardy-Littlewood-Sobolev theorem to Orlicz spaces. He also investigates the boundedness of generalized fractional integrals from Orlicz spaces to \(\text{BMO}_\varphi(\mathbb{R}^n)\) and from \(\text{BMO}_\varphi(\mathbb{R}^n)\) to \(\text{BMO}_\psi(\mathbb{R}^n)\), where \(\text ...
openaire +4 more sources
Journal of Inequalities and Applications, 2019 In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral operator inequalities and give certain special
Saima Rashid +4 more
doaj +1 more source
Analysis of the family of integral equation involving incomplete types of I and Ī-functions
Applied Mathematics in Science and Engineering, 2023 The present article introduces and studies the Fredholm-type integral equation with an incomplete I-function (IIF) and an incomplete $ \bar {I} $ -function (I $ \bar {I} $ F) in its kernel.
Sanjay Bhatter +5 more
doaj +1 more source
More General Weighted-Type Fractional Integral Inequalities via Chebyshev Functionals
Fractal and Fractional, 2021 The purpose of this research paper is first to propose the generalized weighted-type fractional integrals. Then, we investigate some novel inequalities for a class of differentiable functions related to Chebyshev’s functionals by utilizing the proposed ...
Gauhar Rahman +4 more
doaj +1 more source
A new Generalized fractional derivative and integral
, 2017 In this article, we introduce a new general definition of fractional derivative and fractional integral, which depends on an unknown kernel. By using these definitions, we obtain the basic properties of fractional integral and fractional derivative such as Product Rule, Quotient Rule, Chain Rule, Roll's Theorem and Mean Value Theorem.
AKKURT, Abdullah +2 more
openaire +3 more sources
On generalized some integral inequalities for local fractional integrals
Applied Mathematics and Computation, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Zeki Sarikaya +2 more
openaire +3 more sources
General Fractional Calculus: Multi-Kernel Approach
Mathematics, 2021 For the first time, a general fractional calculus of arbitrary order was proposed by Yuri Luchko in 2021. In Luchko works, the proposed approaches to formulate this calculus are based either on the power of one Sonin kernel or the convolution of one ...
Vasily E. Tarasov
doaj +1 more source
FRACTIONAL INTEGRATIONS FOR THE NEW GENERALIZED HYPERGEOMETRIC FUNCTIONS
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2023 In this article, authors discussed about image formulas for the some new extended hypergeometric function using elementary properties of the fractional calculus integral operators. Furthermore, using integral transforms some image formulas are also established.
Chaudhary, M. P. +4 more
openaire +1 more source
An application of multiple Erdélyi–Kober fractional integral operators to establish new inequalities involving a general class of functions [PDF]
This research aims to develop generalized fractional integral inequalities by utilizing multiple Erdélyi–Kober (E–K) fractional integral operators. Using a set of j, with (j?N) positively continuous and decaying functions in the finite interval a?t?x ...
Qureshi, Sania +9 more
core +1 more source
A Continued Fraction Expansion for a Generalization of Dawson's Integral [PDF]
Mathematics of Computation, 1977 A continued fraction expansion for a generalization of Dawson’s integral is presented. An exact formula for the truncation error in terms of the confluent hypergeometric function is derived. The expansion is shown to have good convergence properties for both small and large values of the argument.
openaire +3 more sources