Results 21 to 30 of about 2,247 (183)
Connection formulae for trivariate $q$-polynomials [PDF]
arXiv, 2022 In this short paper, we establish connection formulae for trivariate $q$-polynomials.
arxiv
Fractional calculus, zeta functions and Shannon entropy
Open Mathematics, 2021 This paper deals with the fractional calculus of zeta functions. In particular, the study is focused on the Hurwitz ζ\zeta function. All the results are based on the complex generalization of the Grünwald-Letnikov fractional derivative.
Guariglia Emanuel
doaj +1 more source
Lévy processes linked to the lower-incomplete gamma function [PDF]
arXiv, 2021 We start by defining a subordinator by means of the lower-incomplete gamma function. It can be considered as an approximation of the stable subordinator, easier to be handled thank to its finite activity. A tempered version is also considered in order to overcome the drawback of infinite moments.
arxiv
Demonstratio Mathematica, 2022 It is a well-known fact that inclusion and pseudo-order relations are two different concepts which are defined on the interval spaces, and we can define different types of convexities with the help of both relations.
Khan Muhammad Bilal +4 more
doaj +1 more source
Some sufficient conditions on impulsive and initial value fractional order functional differential equations [PDF]
arXiv, 2021 In this paper, we will develop a definition of mild solution for impulsive fractional differential equation of order $\alpha\in (1,2)$ with the help of solution operator and study the existence results of mild solution for impulsive fractional differential equations with state dependent delay by using fixed point theorems.
arxiv
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
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
Characterization of Riesz and Bessel potentials on variable Lebesgue spaces
Journal of Function Spaces, Volume 4, Issue 2, Page 113-144, 2006., 2006 Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that the exponent satisfies natural regularity conditions. As a consequence of this characterization, we
Alexandre Almeida +2 more
wiley +1 more source
Some analytical properties of solutions of differential equations of noninteger order
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 13, Page 697-701, 2004., 2004 The analytical properties of solutions of the nonlinear differential equations x(α)(t) = f(t, x), α ∈ ℝ, 0 < α ≤ 1 of noninteger order have been investigated. We obtained two results concerning the frame curves of solutions. Moreover, we proved a result on differential inequality with fractional derivatives.
S. M. Momani, S. B. Hadid, Z. M. Alawenh
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1133-1149, 2004., 2004 We study the existence of mild solutions of the nonlinear second‐order neutral functional differential and integrodifferential inclusions with nonlocal conditions in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families of bounded linear operators and a fixed point theorem for condensing maps due to Martelli.
S. Marshal Anthoni +2 more
wiley +1 more source