On a New Class of Fractional Difference-Sum Operators with Discrete Mittag-Leffler Kernels
Mathematics, 2019 We formulate a new class of fractional difference and sum operators, study their fundamental properties, and find their discrete Laplace transforms. The method depends on iterating the fractional sum operators corresponding to fractional differences with
Thabet Abdeljawad, Arran Fernandez
doaj +1 more source
Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
Journal of Function Spaces and Applications, 2013 We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan +3 more
doaj +1 more source
Weighted inequalities for fractional Hardy operators and commutators
Journal of Inequalities and Applications, 2019 In this paper, we introduce a fractional maximal operators Nα $N_{\alpha }$ on (0,∞) $(0,\infty )$ associated to the fractional Hardy operator Pα $P_{\alpha }$ and its dual Qα,0 ...
Wenming Li, Dong Liu, Jing Liu
doaj +1 more source
New numerical approximation for Chua attractor with fractional and fractal-fractional operators
Alexandria Engineering Journal, 2020 In this study, we present new numerical scheme for modified Chua attractor model with fractional operators. However we give numerical solution of the considered model with fractal-fractional operators.
Abdon Atangana, Seda İğret Araz
doaj +1 more source
On Novel Fractional Integral and Differential Operators and Their Properties
Journal of Mathematics, 2023 The main goal of this paper is to describe the new version of extended Bessel–Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential ...
Shahid Mubeen +6 more
doaj +1 more source
Dualities and Asymptotic Mixtures Using Functional-Order Differentiation
AppliedMath, 2022 New definitions for fractional integro-differential operators are presented and referred to as delayed fractional operators. It is shown that delayed fractional derivatives give rise to the notion of functional order differentiation.
Aris Alexopoulos
doaj +1 more source
Fractional‐order operators on nonsmooth domains
Journal of the London Mathematical Society, 2023 AbstractThe fractional Laplacian , , and its generalizations to variable‐coefficient ‐order pseudodifferential operators , are studied in ‐Sobolev spaces of Bessel‐potential type . For a bounded open set , consider the homogeneous Dirichlet problem: in , in .
Abels, Helmut, Grubb, Gerd
openaire +3 more sources
On Some Generalized Fractional Integral Inequalities for p-Convex Functions
Fractal and Fractional, 2019 In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş +3 more
doaj +1 more source
Unitary fractional-order derivative operators for quantum computation
, 2021 Along with recent progresses in quantum computation technologies, researchers have addressed practical computational supremacies of quantum computers. The research works in the quantum computation domain mainly focus on progressive quantum algorithms and
Alagoz B.B., Alagoz S.
core +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