Results 41 to 50 of about 104,407 (324)
New Hadamard-type integral inequalities via a general form of fractional integral operators
Chaos, Solitons & Fractals, 2021 The main motivation in this article is to prove a new and general integral identity and to obtain new integral inequalities of various Hadamard types with the help of this identity.
S. Butt +3 more
semanticscholar +1 more source
Fractal and Fractional, 2021 The present investigation dealing with a hybrid technique coupled with a new iterative transform method, namely the iterative Elzaki transform method (IETM), is employed to solve the nonlinear fractional Fisher’s model.
S. Rashid +4 more
semanticscholar +1 more source
FRACTIONAL INTEGRAL OPERATORS IN NONHOMOGENEOUS SPACES [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractWe discuss here the boundedness of the fractional integral operatorIαand its generalized version on generalized nonhomogeneous Morrey spaces. To prove the boundedness ofIα, we employ the boundedness of the so-called maximal fractional integral operatorIa,κ*.
Gunawan, H. +2 more
openaire +2 more sources
, 2021 Inequalities, including fractional integrals, have become a very popular method and have been the main motivation point for many studies in recent years.
E. Set +4 more
semanticscholar +1 more source
Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +5 more
core +1 more source
AIMS Mathematics, 2021 The main goal of this article is first to introduce a new generalization of the fractional integral operators with a certain modified Mittag-Leffler kernel and then investigate the Chebyshev inequality via this general family of fractional integral ...
H. Srivastava +4 more
semanticscholar +1 more source
Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
core +1 more source
The Minkowski inequality involving generalized k-fractional conformable integral
Journal of Inequalities and Applications, 2019 In the research paper, the authors exploit the definition of a new class of fractional integral operators, recently proposed by Jarad et al. (Adv. Differ. Equ.
Shahid Mubeen +2 more
doaj +1 more source
A modification to the conformable fractional calculus with some applications
Alexandria Engineering Journal, 2020 In the conformable fractional calculus, TαTβ≠TβTα and IαIβ≠IβIα, where Tα and Iα are conformable fractional differential and integral operators, respectively. Also, Tβ≠Tnα and Iβ≠Inα, where β=nα for some n∈N.
Ahmad El-Ajou
doaj +1 more source
A new approach for the fractional integral operator in time scales with variable exponent lebesgue spaces [PDF]
, 2021 Integral equations and inequalities have an important place in time scales and harmonic analysis. The norm of integral operators is one of the important study topics in harmonic analysis.
Akın, Lütfi
core