Zobrazeno 1 - 10
of 548
pro vyhledávání: '"measure of non-compactness"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 27058-27079 (2024)
In this study, we proved existence results for nonlinear implicit fractional differential equations with the Caputo version of the Atangana-Baleanu derivative, subject to the boundary and nonlocal initial conditions. The Kuratowski's measure of non-c
Externí odkaz:
https://doaj.org/article/48be9318e54f4ff0bf473ed2478b137f
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 552-566 (2024)
The objective of this study is to determine the criteria under which the infinite system of integral equations in three variables has a solution in the Banach tempering sequence space c0β{c}_{0}^{\beta } and ℓ1β{\ell }_{1}^{\beta }, utilizing the
Externí odkaz:
https://doaj.org/article/24aa0ab1c01040bda00dc6140ced568c
Autor:
Sezer Erdem
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 24193-24212 (2024)
This study aims to construct the BK-spaces $ \ell_p(\mathcal{M}) $ and $ \ell_{\infty}(\mathcal{M}) $ as the domains of the conservative Motzkin matrix $ \mathcal{M} $ obtained by using Motzkin numbers. It investigates topological properties, obtains
Externí odkaz:
https://doaj.org/article/63d19b1e33fd4093b7fcc1c6db3b0c9a
Publikováno v:
Journal of Taibah University for Science, Vol 18, Iss 1 (2024)
This study focuses on the nonlinear fractional functional integral equation (FFIE) concerning the Riemann-Liouville operator. In certain weaker conditions, the authors demonstrate that the FFIE has a solution, which is defined within the Banach algeb
Externí odkaz:
https://doaj.org/article/9923f182057a49d39cd3ce48fd7439af
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 12057-12071 (2024)
In this paper, we investigated Caputo fractional integro-differential equations with non-instantaneous impulses and nonlocal conditions. By employing the solution operator, the Mönch fixed point theorem, and the stepwise estimation method, we elimin
Externí odkaz:
https://doaj.org/article/329059835cf1488ebf718187baf77184
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11039-11050 (2024)
The current study demonstrated and studied the existence of monotonic solutions, as well as the uniqueness of the solutions for a general and abstract form of a product of $ n $-quadratic fractional integral equations of Hadamard-type in Orlicz space
Externí odkaz:
https://doaj.org/article/0f84ac26221d426b980f7ffcca620b77
Autor:
Feryal Aladsani, Ahmed Gamal Ibrahim
Publikováno v:
Fractal and Fractional, Vol 8, Iss 8, p 475 (2024)
In this work, we introduce a new definition for the fractional differential operator that generalizes several well-known fractional differential operators. In fact, we introduce the notion of the p-proportional ω-weighted κ-Hilfer derivative includ
Externí odkaz:
https://doaj.org/article/bbace4d63a8246a2ba9efc4e9c2b4378
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-16 (2023)
Abstract This study aims to resolve weighted fractional operators of variable order in specific spaces. We establish an investigation on a boundary value problem of weighted fractional derivative of one function with respect to another variable order
Externí odkaz:
https://doaj.org/article/91e2459ac44d49e189cceb60f854d5d2
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 3, Pp 27-45 (2023)
In this paper, we construct the fixed point index for a class of contractive mapping defined by a simulation mapping and a measure of noncompact-ness noted by Zµ− contraction maps. Then we establish some fixed point theorem for this mapping of the
Externí odkaz:
https://doaj.org/article/5a8f928bcb1041a0b3af34a67e7ba78b
Publikováno v:
Heliyon, Vol 10, Iss 8, Pp e29667- (2024)
The objective of this paper is to investigate the existence of mild solutions and optimal controls for a class of stochastic Hilfer-Katugampola fractional differential inclusions (SHKFDIs) with non-instantaneous impulsive (NIIs) that is strengthened
Externí odkaz:
https://doaj.org/article/575d745c9ca540288a4e795866d90cb6