Results 81 to 90 of about 2,624 (188)

Bioinspirierte Kationische Antimikrobielle Polymere

Angewandte Chemie, Volume 137, Issue 24, June 10, 2025.
Dieser Übersichtsartikel behandelt Membran‐aktive kationische Polymere mit antimikrobiellen Eigenschaften. Im Fokus stehen Aspekte wie die Polymerarchitektur, Stimuli‐responsive antimikrobielle Polymere sowie Synergien von Polymeren und anderen Verbindungen.
Heliya Javadi, Anne‐Catherine Lehnen, Matthias Hartlieb   +2 more
wiley   +1 more source

Some New Application of Extended Wright Function

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
This study introduces a novel extension of the Wright function using the Macdonald function as an extension of the Pochhammer symbol. We establish integral, differential, and generating function formulas for this new function. Furthermore, we apply it to fractional differential equations, providing integral transformations of Cauchy‐type problems with ...
Pallavi Sharma, Ekta Mittal, D. L. Suthar, Rajni Gupta, Patricia J. Y. Wong   +4 more
wiley   +1 more source

A Gronwall inequality and its applications to the Cauchy-type problem under ψ-Hilfer proportional fractional operators

Journal of Inequalities and Applications, 2023
In this paper, we propose a generalized Gronwall inequality in the context of the ψ-Hilfer proportional fractional derivative. Using Picard’s successive approximation and the definition of Mittag–Leffler functions, we construct the representation formula
Weerawat Sudsutad, Chatthai Thaiprayoon, Bounmy Khaminsou, Jehad Alzabut, Jutarat Kongson   +4 more
doaj   +1 more source

Modeling and Stability Analysis of Time‐Dependent Free‐Fall Motion in Random Environments

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This paper examines the stability of a fractional‐order model that describes the free‐fall motion of a football in changing environmental conditions. Traditional models often overlook memory effects and nonlocal influences like air resistance, humidity, and turbulence.
Alireza Hatami, Safoura Rezaei Aderyani, Reza Saadati, Mohammad Bagher Ghaemi, Cruz Vargas-De-León   +4 more
wiley   +1 more source

A New q‐Integral Operator Containing Generalized q‐Mittag‐Leffler Function

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this study, we employ the mathematical framework of q‐calculus to introduce a novel integral operator that incorporates the generalized q‐Mittag‐Leffler function. Following this introduction, we delve into an in‐depth analysis of several significant properties and potential applications of this integral operator. Additionally, we explore a number of
Mulugeta Dawud Ali, D. L. Suthar, Shyam L. Kalla   +2 more
wiley   +1 more source

On fractional Cauchy-type problems containing Hilfer's derivative

Electronic Journal of Qualitative Theory of Differential Equations, 2016
Summary: In the paper we study fractional systems with generalized Riemann-Liouville derivatives. A theorem on the existence and uniqueness of a solution to a fractional nonlinear ordinary Cauchy problem is proved. A formula for the solution to a linear problem of such a type is presented.
Kamocki, Rafal, Obczynski, Cezary
openaire   +3 more sources

Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α ∈ (1, 2] With Deviating Argument

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed‐point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest
Dhanalakshmi Kasinathan, Ravikumar Kasinathan, Ramkumar Kasinathan, Karthikeyan Shanmugasundaram, Dimplekumar Chalishajar, Theodore Simos   +5 more
wiley   +1 more source

From fractional differential equations with Hilfer derivatives

Computational and Applied Mathematics, 2021
In this article, we proposed new discrete maps with memory (DMM). These maps are derived from fractional differential equations (FDE) with the Hilfer fractional derivatives of non-integer orders and periodic sequence of kicks. The suggested DMM are obtained from these equations without any approximation, and they are a discrete form of the exact ...
openaire   +2 more sources

Periodic boundary value problems for fractional implicit differential equations involving Hilfer fractional derivative

Issues of Analysis, 2020
Motivated by the idea of implicit ordinary differential equations, in this work, authors consider a class of periodic boundary value problem for nonlinear implicit fractional differential equations. The derivative is taken in the sense of Hilfer fractional derivative.
M. A. Almalahi, M. S. Abdo, S. K. Panchal   +2 more
openaire   +3 more sources

Nonlocal boundary value problems for Hilfer-type pantograph fractional differential equations and inclusions

Advances in Difference Equations, 2020
In this paper, we study boundary value problems, involving the Hilfer fractional derivative, for pantograph fractional differential equations and inclusions supplemented by nonlocal integral boundary conditions.
Athasit Wongcharoen, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source