Results 41 to 50 of about 183,387 (282)

Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function

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, Farhat Safdar, Ahmet Ocak Akdemir, Muhammad Aslam Noor, Khalida Inayat Noor   +4 more
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Fractional integrals of generalized functions [PDF]

Journal of the Australian Mathematical Society, 1972
The concept of integrals of fractional order of a function f, defined by if Reα > 0, can be extended to generalised functions in the framework of the theory of convolution of distributions. The resulting theory [2, Chap. I §5.5] is very satisfactory for many purposes but there are circumstances in which it is not suitable.
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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, Kamlesh Jangid, Shyamsunder Kumawat, Dumitru Baleanu, D. L. Suthar, Sunil Dutt Purohit   +5 more
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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, Arshad Hussain, Asad Ali, Kottakkaran Sooppy Nisar, Roshan Noor Mohamed   +4 more
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Center Vortices, Nexuses, and Fractional Topological Charge [PDF]

, 1999
It has been remarked in several previous works that the combination of center vortices and nexuses (a nexus is a monopole-like soliton whose world line mediates certain allowed changes of field strengths on vortex surfaces) carry topological charge ...
A. Smilga, E. Floratos, E. Witten, G. Mack, G. Tiktopoulos, G. Tiktopoulos, G. Veneziano, G. ’t Hooft, G. ’t Hooft, H. B. Nielsen, I. Halperin, J. Ambjörn, J. Ambjörn, J. M. Cornwall, J. M. Cornwall, J. M. Cornwall, J. M. Cornwall, J. M. Cornwall, J. M. Cornwall, J. M. Cornwall, J. M. Cornwall, J. M. Cornwall, J. M. Cornwall, J. M. Cornwall, J. M. Cornwall, John M. Cornwall, K. Lee, K. Lee, L. Del Debbio, L. Del Debbio, M. Lavelle, M. Shifman, P. de Forcrand, R. Bertle, R. G. Edwards, T. Banks, T. C. Kraan, T. C. Kraan, T. Eguchi, T. G. Kovács, T. G. Kovács, T. G. Kovács, T. G. Kovács, T. G. Kovács, V. A. Fateev   +44 more
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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 ...
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Generalized order n fractional integrals

Innovative Journal of Mathematics (IJM), 2022
We derive a type of fractional integral with parameters in the integrand for an arbitrary amount of integrals. Therefore we solve a wide class of integrals which can be respresented for various n.
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Generalized Fractional Integral Operators on Generalized Local Morrey Spaces [PDF]

Journal of Function Spaces, 2015
We study the continuity properties of the generalized fractional integral operatorIρon the generalized local Morrey spacesLMp,φ{x0}and generalized Morrey spacesMp,φ. We find conditions on the triple(φ1,φ2,ρ)which ensure the Spanne-type boundedness ofIρfrom one generalized local Morrey spaceLMp,φ1{x0}to anotherLMq,φ2{x0},1<p<q<∞, and fromLM1,φ1{
ŞERBETÇİ, AYHAN, Kucukaslan, ABDULHAMİT, Guliyev, V.S., Ismayilova, A.F.   +3 more
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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
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Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains

, 2017
We explore the connection between fractional order partial differential equations in two or more spatial dimensions with boundary integral operators to develop techniques that enable one to efficiently tackle the integral fractional Laplacian.
AA Golovin, AH Stroud, Alexandre Ern, BJ West, IG Graham, IH Sloan, IH Sloan, Krzysztof Bogdan, L Caffarelli, LR Scott, M D’Elia, Mark Ainsworth, Mark Ainsworth, MG Duffy, MM Meerschaert, P Ciarlet, Raffaella Servadei, RH Nochetto, RK Getoor, S Erichsen, SA Silling, Stefan A. Sauter, T Koto, W Hackbusch, WCH McLean, Y Yan, ZQ Chen   +26 more
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