Results 71 to 80 of about 2,624 (188)

Multiphase Relaxation Dynamics at the μm‐to‐cm Scale During Storage of Gases in Rocks: A Micro‐CT Study on Homogeneous and Layered Sandstones

Water Resources Research, Volume 61, Issue 12, December 2025.
Abstract Recent work suggests that upscaling multiphase flow requires averaging capillary fluctuations in both space and time. This motivates the need to determine the representative time and length scales of multiphase flow and how they are interrelated. Understanding these intrinsic scales is necessary to determine whether systems are at equilibrium.
Sharon Ellman, Catherine Spurin, Samuel Jackson, Catrin Harris, Veerle Cnudde, Tom Bultreys   +5 more
wiley   +1 more source

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson, Velusamy Vijayakumar, Kiwoon Kwon   +2 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

Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses

Abstract and Applied Analysis, 2021
This article deals with some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative.
Abdelkrim Salim, Mouffak Benchohra, Jamal Eddine Lazreg, Gaston N’Guérékata   +3 more
doaj   +1 more source

Anomalous relaxation in dielectrics with Hilfer fractional derivative

, 2020
We introduce a new relaxation function depending on an arbitrary parameter as solution of a kinetic equation in the same way as the relaxation function introduced empirically by Debye, Cole-Cole, Davidson-Cole and Havriliak-Negami, anomalous relaxation in dielectrics, which are recovered as particular cases.
Plata, A. R. Gomez, Rosa, Ester C. A. F., Rodriguez-Giraldo, R. G, de Oliveira, E. Capelas   +3 more
openaire   +2 more sources

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations

Nonautonomous Dynamical Systems, 2021
In this paper, we prove some existence results of solutions for a class of nonlocal initial value problem for nonlinear fractional hybrid implicit differential equations under generalized Hilfer fractional derivative. The result is based on a fixed point
Salim Abdelkrim, Benchohra Mouffak, Lazreg Jamal Eddine, Nieto Juan J., Zhou Yong   +4 more
doaj   +1 more source

‘Nature of the year’ in Germany: An effective policy to raise public awareness?

People and Nature, Volume 7, Issue 7, Page 1593-1604, July 2025.
Abstract Building public awareness for conservation can be done in different ways. However, the impact of the conservation marketing techniques is not well understood. The ‘nature of the year’ award is a public awareness building strategy for conservation in Germany, which aims to draw attention to annually selected species and their habitats. In order
Hilke Hollens‐Kuhr, Sascha Buchholz, Nadja Pernat   +2 more
wiley   +1 more source

A comprehensive review of the Hermite-Hadamard inequality pertaining to fractional differential operators [PDF]

Surveys in Mathematics and its Applications, 2023
A review on Hermite-Hadamard type inequalities connected with a different classes of convexities and fractional differential operators is presented. In the various classes of convexities it includes, classical convex functions, quasi-convex functions, p ...
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh, Jessada Tariboon   +3 more
doaj  

Nonlocal and multiple-point fractional boundary value problem in the frame of a generalized Hilfer derivative

Advances in Difference Equations, 2021
The aim of this manuscript is to handle the nonlocal boundary value problem for a specific kind of nonlinear fractional differential equations involving a ξ-Hilfer derivative. The used fractional operator is generated by the kernel of the kind k ( ϑ , s )
Wasfi Shatanawi, Abdellatif Boutiara, Mohammed S. Abdo, Mdi B. Jeelani, Kamaleldin Abodayeh   +4 more
doaj   +1 more source