Results 41 to 50 of about 2,960 (186)
Bourgain-Brezis-Mironescu formula for magnetic operators [PDF]
, 2016 We prove a Brezis-Bourgain-Mironescu type formula for a class of nonlocal magnetic spaces, which builds a bridge between a fractional magnetic operator recently introduced and the classical theory.Comment: revised ...
Squassina, Marco, Volzone, Bruno
core +3 more sources
On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals
, 2017 In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity. With the help of this fractional-type integral identity, we give some integral inequalities connected with the left-side of ...
M. Sarıkaya, H. Yildirim
semanticscholar +1 more source
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed‐point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest
Dhanalakshmi Kasinathan +5 more
wiley +1 more source
Journal of Function Spaces, Volume 8, Issue 3, Page 215-244, 2010., 2010 We consider non‐standard Hölder spaces Hλ(⋅)(X) of functions f on a metric measure space (X, d, μ), whose Hölder exponent λ(x) is variable, depending on x ∈ X. We establish theorems on mapping properties of potential operators of variable order α(x), from such a variable exponent Hölder space with the exponent λ(x) to another one with a “better ...
Natasha Samko +3 more
wiley +1 more source
Fractional virus epidemic model on financial networks
Open Mathematics, 2016 In this study, we present an epidemic model that characterizes the behavior of a financial network of globally operating stock markets. Since the long time series have a global memory effect, we represent our model by using the fractional calculus.
Balci Mehmet Ali
doaj +1 more source
Nonlinear Engineering, 2022 In the present article, we geometrically and analytically examine the mutual impact of space-time Caputo derivatives embedded in (1 + 2)-physical models.
Makhadmih Mohammad +3 more
doaj +1 more source
On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball [PDF]
, 2005 2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ...
Bezzarga, Mounir, Kefi, Khaled
core
Quantum calculus on finite intervals and applications to impulsive difference equations
, 2013 In this paper we initiate the study of quantum calculus on finite intervals. We define the qk-derivative and qk-integral of a function and prove their basic properties.
J. Tariboon, S. Ntouyas
semanticscholar +1 more source
, 2020 In this paper, we investigate the existence, uniqueness and Ulam-Hyers stability of solutions for nonlinear implicit fractional differential equations with boundary conditions involving a ψ-Caputo fractional derivative.
Hanan A. Wahash +2 more
semanticscholar +1 more source
A Fractional‐Order Peer Influence Mathematical Model
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this article, a fractional‐order mathematical model is used to simulate peer influence using the Liouville–Caputo framework. Our model was made up of four states, which describe friends, negatively behaved friends, parental guidance, and positively behaved friends.
Patience Pokuaa Gambrah +5 more
wiley +1 more source