Results 21 to 30 of about 2,984 (190)
Advanced Nonlinear Studies, 2019 This paper is concerned with the existence of a heteroclinic solution for the following class of elliptic equations:
Alves Claudianor O.
doaj +1 more source
Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 In this paper, we study the following fractional differential equation involving the Atangana-Baleanu-Caputo fractional derivative: {ABCaDτθ[x(ϑ)−F(ϑ,x(ϑ))]=G(ϑ,x(ϑ)), ϑ∈J:=[a,b],x(a)=φa∈ℝ.$$\left\{ {\matrix{ {AB{C_a}D_\tau ^\theta [x(\vartheta ...
Benkhettou Nadia +4 more
doaj +1 more source
A note on some relations between certain inequalities and normalized analytic functions
Acta Universitatis Sapientiae: Mathematica, 2018 In this note, an extensive result consisting of several relations between certain inequalities and normalized analytic functions is first stated and some consequences of the result together with some examples are next presented.
Şan Müfit, Irmak Hüseyin
doaj +1 more source
Moroccan Journal of Pure and Applied Analysis, 2020 For r ∈ (1, 2], the authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for rth order Caputo-Hadamard fractional differential inclusions satisfying nonlinear integral conditions.
Zahed Ahmed +2 more
doaj +1 more source
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
On some properties of the conformable fractional derivative
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we prove that the intermediate value theorem remains true for the conformable fractional derivative and we prove some useful results using the definition of conformable fractional derivative given in R. Khalil, M. Al Horani, A.
Azennar Radouane, Mentagui Driss
doaj +1 more source
Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem
Advances in Nonlinear Analysis, 2022 In this article, we consider the fractional Rayleigh-Stokes problem with the nonlinearity term satisfies certain critical conditions. The local existence, uniqueness and continuous dependence upon the initial data of ε\varepsilon -regular mild solutions ...
Wang Jing Na +3 more
doaj +1 more source
Acta Universitatis Sapientiae: Mathematica, 2019 The aim of this scientific note is first to present certain information associated with the Tremblay operator in the complex plane and then to determine several results constituted by the related operator for certain analytic functions and also to point ...
Irmak Hüseyin, Engel Olga
doaj +1 more source
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
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