Results 71 to 80 of about 2,623 (193)

Fractional Sequential Coupled Systems of Hilfer and Caputo Integro-Differential Equations with Non-Separated Boundary Conditions

Axioms
In studying boundary value problems and coupled systems of fractional order in (1,2], involving Hilfer fractional derivative operators, a zero initial condition is necessary.
Ayub Samadi, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

k-Hilfer-Prabhakar Fractional Derivatives and Applications

, 2016
In this paper we define the regularized version of k-Prabhakar fractional derivative, k-Hilfer-Prabhakar fractional derivative, regularized version of k-Hilfer-Prabhakar fractional derivative and find their Laplace and Sumudu transforms. Using these results, the relation between k-Prabhakar fractional derivative and its regularized ver- sion involving ...
Panchal, S. K., Khandagale, Amol D., Dole, Pravinkumar V.   +2 more
openaire   +2 more sources

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

Existence and Attractivity of Mild Solutions for Fractional Diffusion Equations Involving the Regularized ψ-Hilfer Fractional Derivatives

Axioms
The regularized ψ-Hilfer derivative within the sense of Caputo is an improved version of the ψ-Hilfer fractional derivative, primarily because it addresses the issue where the initial conditions of problems involving the ψ-Hilfer fractional derivative ...
Luyao Wang, Yuhang Jin, Wenchang He, Jia Mu   +3 more
doaj   +1 more source

Existence of solutions for boundary value problems of fractional impulsive differential equations with Hilfer

Journal of Hebei University of Science and Technology, 2023
In order to extend the basic theory of boundary value problems, the existence of solutions for a class of Hilfer fractional impulsive differential equations with finite impulsive points was studied.
Chunjing GUO, Fanmeng MENG, Kun CHEN, Weihua JIANG   +3 more
doaj   +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

Best approximation of a nonlinear fractional Volterra integro-differential equation in matrix MB-space

Advances in Difference Equations, 2021
In this article, we introduce a class of stochastic matrix control functions to stabilize a nonlinear fractional Volterra integro-differential equation with Ψ-Hilfer fractional derivative.
Reza Chaharpashlou, Reza Saadati
doaj   +1 more source

On a class of differential inclusions in the frame of generalized Hilfer fractional derivative

AIMS Mathematics, 2022
In the present paper, we extend and develop a qualitative analysis for a class of nonlinear fractional inclusion problems subjected to nonlocal integral boundary conditions (nonlocal IBC) under the φ-Hilfer operator.
Adel Lachouri, Mohammed S. Abdo, Abdelouaheb Ardjouni, Bahaaeldin Abdalla , Thabet Abdeljawad   +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 numerical approach for multi-dimensional ψ-Hilfer fractional nonlinear Galilei invariant advection–diffusion equations

Results in Physics
In this paper, we introduce the ψ-Hilfer fractional version of nonlinear Galilei-invariant advection–diffusion equations in one and two dimensions. A new type of basic functions, namely the ψ-Chebyshev cardinal functions (CFs), is introduced to establish
M.H. Heydari, M. Razzaghi, M. Bayram
doaj   +1 more source