Results 101 to 110 of about 7,924 (216)

On the generalized fractional derivatives and their Caputo modification

The Journal of Nonlinear Sciences and Applications, 2017
Summary: In this manuscript, we define the generalized fractional derivative on \(AC^n_\gamma [a, b]\), the space of functions defined on \([a,b]\) such that \(\gamma^{n-1}f\in AC[a, b]\), where \(\gamma=x^{1-p}\frac{d}{dx}\). We present some of the properties of generalized fractional derivatives of these functions and then we define their Caputo ...
Jarad, F., Abdeljawad, T., Baleanu, D.
openaire   +3 more sources

The Effect of the Caputo Fractional Derivative on Polynomiography

Mathematics Interdisciplinary Research, 2023
‎This paper presents the visualization process of finding the roots of a complex polynomial‎ - ‎which is called polynomiography‎ - ‎by the Caputo fractional derivative‎. ‎In this work‎, ‎we substitute the variable-order Caputo fractional derivative for classic derivative in Newton's iterative method‎. ‎To investigate the proposed root-finding method‎, ‎
openaire   +2 more sources

Existence of Solutions for Anti-Periodic Fractional Differential Inclusions Involving ψ-Riesz-Caputo Fractional Derivative

, 2019
In this paper, we investigate the existence of solutions for a class of anti-periodic fractional differential inclusions with ψ -Riesz-Caputo fractional derivative.
Chuanzhi Bai, Dandan Yang
core   +1 more source

Caputo Type Fractional Differentiation for the Extended Generalized Mittag-Leffler Function

, 2023
The goal of this paper is to develop some differential equation formulas for the extended generalized Mittag-Leffler function (EGMLF) using Caputo type Marichev-Saigo-Maeda (MSM) fractional derivative operators involving the third Appell function as ...
UÇAR, FARUK
core   +1 more source

A highly accurate method for multi-term time fractional diffusion equation in two dimensions with ψ-Caputo fractional derivative

Results in Applied Mathematics
In this study, the ψ-Caputo fractional derivative (as a generalization of the classical Caputo derivative where the fractional derivative is defined with respect to the function ψ) is considered to introduce a class of multi-term time fractional 2D ...
M.H. Heydari, M. Razzaghi
doaj   +1 more source

Voltage‐gated potassium channels mediate thyroid hormone control of skeletal muscle excitability

The Journal of Physiology, EarlyView.
Abstract figure legend Thyroid hormone (TH)‐dependent remodelling of potassium (K+) channel networks regulates skeletal muscle (SkM) excitability. Triiodothyronine (T3), locally generated from thyroxine (T4) by type 2 deiodinase (D2), binds thyroid hormone receptors (TRα/β) and modulates transcription via thyroid response elements (TREs).
Annarita Nappi, Caterina Miro, Annunziata Gaetana Cicatiello, Ilaria Piccialli, Serena Sagliocchi, Lucia Acampora, Federica Restolfer, Rosa Sirica, Melania Murolo, Emery Di Cicco, Daniela Terracciano, Anna Pannaccione, Monica Dentice   +12 more
wiley   +1 more source

An Extension of the Picard Theorem to Fractional Differential Equations with a Caputo-Fabrizio Derivative

, 2021
In this paper, we consider fractional differential equations with the new fractional derivative involving a nonsingular kernel, namely, the Caputo-Fabrizio fractional derivative.
H. R. Marasi, H. Aydi, A. Soltani Joujehi   +2 more
core   +1 more source

Evaluation of Enzyme Inhibition and Kinetic Profiles of Origanum Essential Oils on Metabolic and Central Nervous System Targets

Natural Sciences, Volume 6, Issue 3, July 2026.
The essential oils of three Origanum species were chemically characterized and evaluated for their antioxidant and enzyme inhibitory activities. The different compositions confer selective bioactivities: O. vulgare exhibits good antioxidant and α‐glucosidase inhibitory activity, O. majorana shows promising tyrosinase inhibition, and O.
Giuseppe Amato, Lucia Caputo, Laura De Martino, Daniela Grulova, Barbara Borczak, Joanna Kapusta‐Duch, Vincenzo De Feo   +6 more
wiley   +1 more source

Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects

Electronic Journal of Differential Equations, 2016
Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj  

Weighted Deformed Gram Matrices for Quantum‐Inspired Learning With Applications to Biomedical Signal Analysis

Engineering Reports, Volume 8, Issue 6, June 2026.
Graphical abstract of the (q,τ)$$ \left(q,\tau \right) $$‐deformed kernel framework for quantum‐inspired learning and biomedical signal analysis ABSTRACT This paper introduces a weighted (q,τ)$$ \left(q,\tau \right) $$‐deformed Gram matrix framework for quantum‐inspired learning systems, with particular emphasis on applications in biomedical signal ...
Rabha W. Ibrahim, Dumitru Baleanu, Soheil Salahshour   +2 more
wiley   +1 more source