Zobrazeno 1 - 10
of 447
pro vyhledávání: '"Bessem, Samet"'
Autor:
Huaping Huang, Bessem Samet
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30612-30637 (2024)
Two new classes of self-mappings defined on a complete metric space $ (M, d) $ are introduced. The first one, called the class of $ p $-contractions with respect to a family of mappings, includes mappings $ F: M\to M $ satisfying a contraction involv
Externí odkaz:
https://doaj.org/article/137c1ff558774c4eb4f07009789c1c47
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 29018-29030 (2024)
In this paper, we are concerned with the study of the existence and uniqueness of fixed points for the class of functions $ f: C\to C $ satisfying the inequality$ \ell\left(\alpha f(t)+(1-\alpha)f(s)\right)\leq \sigma \ell(\alpha t+(1-\alpha)s) $for
Externí odkaz:
https://doaj.org/article/998b7ed24f8d4ab2830cbe3b2794ec25
Autor:
Mohamed Jleli, Bessem Samet
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 29001-29017 (2024)
In this paper, we first introduced the notion of $ \theta $-hyperbolic sine distance functions on a metric space and studied their properties. We investigated the existence and uniqueness of fixed points for some classes of single-valued mappings def
Externí odkaz:
https://doaj.org/article/1808ed2407314650b91522ff5cb6704b
Autor:
Mohamed Jleli, Bessem Samet
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 23584-23597 (2024)
A nonlinear time-fractional cable equation posed on the interval $ (0, 1) $ under a homogeneous Dirichlet boundary condition is investigated in this work. The considered equation reflects the anomalous electro-diffusion in nerve cells. Using nonlinea
Externí odkaz:
https://doaj.org/article/ade0f6240179432c8b3b4081db2eb721
Autor:
Mohamed Jleli, Bessem Samet
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 21686-21702 (2024)
Nonexistence theorems constitute an important part of the theory of differential and partial differential equations. Motivated by the numerous applications of fractional differential equations in diverse fields, in this paper, we studied sufficient c
Externí odkaz:
https://doaj.org/article/a8cc09994563424788e3108fdd597ebc
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 17955-17970 (2024)
We consider the class of functions $ u\in C^2((0, \infty)) $ satisfying second-order differential inequalities in the form $ u''(x)+\frac{k}{x^2}u(x)\geq 0 $ for all $ x > 0 $. For this class of functions, we establish Hermite-Hadamard-type inequalit
Externí odkaz:
https://doaj.org/article/10a80e9770534e80af265eaf1237b70e
Autor:
Mohamed Jleli, Bessem Samet
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-17 (2024)
Abstract We consider weak solutions of the nonlinear time-fractional biharmonic diffusion equation ∂ t α u + ∂ t β u + u x x x x = h ( t , x ) | u | p $\partial _{t}^{\alpha }u+\partial _{t}^{\beta }u+u_{xxxx}=h(t,x)|u|^{p}$ in ( 0 , ∞ ) × (
Externí odkaz:
https://doaj.org/article/e01e5ae687b1409195b2b9b3b8ad9a18
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11992-12010 (2024)
We unified several kinds of convexity by introducing the class $ \mathcal{A}_{\zeta, w}([0, 1]\times I^2) $ of $ (\zeta, w) $-admissible functions $ F: [0, 1]\times I\times I\to \mathbb{R} $. Namely, we proved that most types of convexity from the li
Externí odkaz:
https://doaj.org/article/58240fb833cd416abf6e4b8733785e49
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11139-11155 (2024)
We introduce the class of $ \psi $-convex functions $ f:[0, \infty)\to \mathbb{R} $, where $ \psi\in C([0, 1]) $ satisfies $ \psi\geq 0 $ and $ \psi(0)\neq \psi(1) $. This class includes several types of convex functions introduced in previous works.
Externí odkaz:
https://doaj.org/article/85aa5c2384674febbe2139bb6ab7a72b
Autor:
Munirah Aali Alotaibi, Bessem Samet
Publikováno v:
Electronic Research Archive, Vol 31, Iss 12, Pp 7337-7348 (2023)
A class of nonlinear integral equations with delay, related to infectious diseases, is studied. Making use of some tools from operators theory, we deal with the well-posedness in an adequate functional space, approximation of solution, estimates of l
Externí odkaz:
https://doaj.org/article/c5c2af55b343492fbab3da0d6fc0fbe1