Results 41 to 50 of about 650,024 (164)

Data‐Driven Discovery of Classical and Anomalous Transport Models From Sparse Breakthrough Curves in Heterogeneous Porous Media via Symbolic Regression

open access: yesJournal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 6, December 2026.
Abstract Natural porous media are highly heterogeneous, with flow and transport controlled by pore‐space morphology and connectivity. Consequently, classical continuum models often fail to describe observed transport under strong heterogeneity. A key challenge is identifying physically interpretable transport models from sparse observational data.
Jinwoo Im   +3 more
wiley   +1 more source

Existence Results for Fuzzy Differential Equations with ψ-Hilfer Fractional Derivative

open access: yes, 2022
<p>This manuscript concerns the fuzzy differential equation involving ψ-Hilfer type fractional derivative with nonlocal condition. By using successive approximation, we obtain the existence, uniqueness results of solution for ψ-Hilfer fuzzy ...
K. Kanagarajan, R. Vivek, D. Vivek, E. M. Elsayed
core   +1 more source

Controllability and constrained controllability for nonlocal Hilfer fractional differential systems with Clarke’s subdifferential

open access: yesJournal of Inequalities and Applications, 2019
Sobolev-type nonlocal fractional differential systems with Clarke’s subdifferential are studied. Sufficient conditions for controllability and constrained controllability for Sobolev-type nonlocal fractional differential systems with Clarke’s ...
Hamdy M. Ahmed   +3 more
doaj   +1 more source

Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem

open access: yesUniversal Journal of Mathematics and Applications, 2020
In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation.
Ahmad Y. A. Salamoonı, D.d. Pawar
doaj   +1 more source

Some k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative

open access: yesAdvances in Difference Equations, 2021
In this paper, we prove several inequalities of the Grüss type involving generalized k-fractional Hilfer–Katugampola derivative. In 1935, Grüss demonstrated a fascinating integral inequality, which gives approximation for the product of two functions ...
Samaira Naz   +2 more
doaj   +1 more source

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

open access: yesJournal 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   +3 more
doaj   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Mild Solutions for Impulsive Integro-Differential Equations Involving Hilfer Fractional Derivative with almost Sectorial Operators

open access: yes, 2021
In this manuscript, we establish the mild solutions for Hilfer fractional derivative integro-differential equations involving jump conditions and almost sectorial operator. For this purpose, we identify the suitable definition of a mild solution for this
Nichaphat Patanarapeelert   +3 more
core   +1 more source

Pore‐Scale Study of Fluid‐Fluid Interfacial Area During Primary Drainage in Porous Media

open access: yesWater Resources Research, Volume 62, Issue 9, September 2026.
Abstract We performed pore‐scale numerical simulations using the volume of fluid (VOF) method to investigate how displacement regimes, geometric disorder, and wettability influence fluid‐fluid interfacial area awn $\left({a}_{wn}\right)$ during primary drainage. We partitioned awn ${a}_{wn}$ into two components: the advancing front awn,f $\left({a}_{wn,
Mingfeng Wang   +2 more
wiley   +1 more source

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

open access: yesAdvances 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

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