Zobrazeno 1 - 10
of 1 201
pro vyhledávání: '"Gaston M"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2023, Iss 39,, Pp 1-17 (2023)
Externí odkaz:
https://doaj.org/article/ff0a728cb2b946b59cac4b6ad12f646d
Publikováno v:
Cubo, Vol 23, Iss 1, Pp 145-159 (2021)
In this work, we present some results on the existence of attractive solutions of fractional differential equations of the ψ-Hilfer hybrid type. The results on the existence of solutions are a consequence of the Schauder fixed point theorem. Next, w
Externí odkaz:
https://doaj.org/article/a80ac089d23941db81b80a0c01bbebbf
Publikováno v:
Surveys in Mathematics and its Applications, Vol 16 (2021), Pp 95-109 (2021)
In this article, we study some existence results concerning the weak solutions for some coupled systems of Hadamard fractional differential equations with the mixed arguments of anticipations and retardation. By utilizing a fixed point theorem of Mö
Externí odkaz:
https://doaj.org/article/49d7f98e51764d2a85c5323205be2c00
Autor:
Darin Brindle, Gaston M. N'Guerekata
Publikováno v:
Electronic Journal of Differential Equations, Vol 2020, Iss 30,, Pp 1-12 (2020)
This article concerns the existence of mild solutions to the semilinear fractional differential equation $$ D_t^\alpha u(t)=Au(t)+D_t^{\alpha-1} f(t,u(t)),\quad t\geq 0 $$ with nonlocal conditions $u(0)=u_0 + g(u)$ where $D_t^\alpha(\cdot)$ ($1
Externí odkaz:
https://doaj.org/article/775c927bb6e54d1ab4973d8466658ca5
Autor:
James Larrouy, Gaston M. N’Guérékata
Publikováno v:
Abstract and Applied Analysis, Vol 2022 (2022)
The primary aim of this work is to introduce a new class of functions called μ-ω,c-pseudo-almost periodic functions. Using the measure theory, we generalize in a natural way some recent works and study some properties of those μ-ω,c-pseudo-almost
Externí odkaz:
https://doaj.org/article/f6ce6f04288a40e98cddccd2cd2db97f
Publikováno v:
Electronic Journal of Differential Equations, Vol 2019, Iss 79,, Pp 1-11 (2019)
In this article, we study the existence of positive solutions for the nonlinear quadratic integral equation $$ x(t)=g(t,x(t))\int_{-\infty}^{t}a(t,t-s)f(s,x(s))ds,\quad t\in\mathbb{R}. $$ By using fixed point theory on cones, we prove the existe
Externí odkaz:
https://doaj.org/article/6958652d685042a5aac145dcdeb8a372
Publikováno v:
Fractal and Fractional, Vol 6, Iss 10, p 615 (2022)
This paper addresses some existence, attractivity and controllability results for semilinear integrodifferential equations having non-instantaneous impulsions on an infinite interval via resolvent operators in case of neutral and state-dependent dela
Externí odkaz:
https://doaj.org/article/90dfc38d6eea4ead8c91512c2f2ae381
Autor:
Fatemeh Norouzi, Gaston M. N’Guérékata
Publikováno v:
Chaos, Solitons & Fractals: X, Vol 6, Iss , Pp 100056- (2021)
This paper considers the fractional-order system in the sense of ψ-Hilfer fractional differential equations. In order to investigate the existence and uniqueness of the mild solution, the Banach contraction mapping principle and the measure of non-c
Externí odkaz:
https://doaj.org/article/8d14bb55f0fb42f18664bb7698d10c41
Publikováno v:
Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-19 (2018)
Abstract In this paper, we introduce the concept of complete-closed time scales under translational and non-translational shifts and propose new definitions of special functions arising from dynamic equations on time scales including the concepts of
Externí odkaz:
https://doaj.org/article/18380a3617264d36917739e3defa7e03
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 37,, Pp 1-16 (2018)
In this article, we study the existence of asymptotically almost automorphic mild solutions for a class of nonautonomous semilinear evolution equations and extend some related results in this direction. The working tools are based on the Krasnosel
Externí odkaz:
https://doaj.org/article/4b9937773577412585394010ec1236c2