3.5
Impact Factor
6.8
CiteScore
18 days
Submission to First Decision
4 days
Acceptance to Publication

Fractal and Fractional, Volume 8, Issue 9

2024 September - 54 articles

Cover Story: Neural fractional differential equations (FDEs) are a neural network architecture designed to fit the solutions of fractional differential equations to data. This architecture combines an analytical component, the fractional derivative, with a neural network component, forming an initial value problem. We investigate the non-uniqueness of the optimal order of the derivative and its interaction with the neural network. We examine how different initialisations and values of the order of the derivative (in the optimisation process) impact its final optimal value. Consequently, neural FDEs do not require a unique α value; instead, they can use a wide range of α values to fit data. This flexibility is beneficial when fitting to given data is required and the underlying physics is not known. View this paper

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19 Citations

1,854 Views

17 Pages

Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2

Anurag Shukla,
Sumati Kumari Panda,
Velusamy Vijayakumar,
Kamalendra Kumar and
Kothandabani Thilagavathi

Fractal Fract.2024, 8(9), 499;https://doi.org/10.3390/fractalfract8090499

24 August 2024

This paper addresses the approximate controllability results for Hilfer fractional stochastic differential inclusions of order $1 < q < 2$ . Stochastic analysis, cosine families, fixed point theory, and fractional calculus provide the foundation of th...

(This article belongs to the Special Issue Analysis of Fractional Stochastic Differential Equations and Their Applications)

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Article

6 Citations

1,903 Views

21 Pages

Exploring Solitons Solutions of a (3+1)-Dimensional Fractional mKdV-ZK Equation

Amjad E. Hamza,
Osman Osman,
Muhammad Umair Sarwar,
Khaled Aldwoah,
Hicham Saber and
Manel Hleili

Fractal Fract.2024, 8(9), 498;https://doi.org/10.3390/fractalfract8090498

24 August 2024

This study presents the application of the $ϕ^{6}$ model expansion technique to find exact solutions for the (3+1)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov equation under Jumarie’s modified Riemann–Liouville deriv...

(This article belongs to the Special Issue Recent Developments and Applications of Fractional Differential Equations in Mathematical Physics)

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Article

4 Citations

1,678 Views

12 Pages

Dynamics of the Traveling Wave Solutions of Fractional Date–Jimbo–Kashiwara–Miwa Equation via Riccati–Bernoulli Sub-ODE Method through Bäcklund Transformation

M. Mossa Al-Sawalha,
Saima Noor,
Mohammad Alqudah,
Musaad S. Aldhabani and
Roman Ullah

Fractal Fract.2024, 8(9), 497;https://doi.org/10.3390/fractalfract8090497

23 August 2024

The dynamical wave solutions of the time–space fractional Date–Jimbo–Kashiwara–Miwa (DJKM) equation have been obtained in this article using an innovative and efficient technique including the Riccati–Bernoulli sub-ODE m...

(This article belongs to the Special Issue Complexity, Fractality and Fractional Dynamics Applied to Science and Engineering)

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Article

3 Citations

2,459 Views

25 Pages

Mathematical Modeling of Alzheimer’s Drug Donepezil Hydrochloride Transport to the Brain after Oral Administration

Corina S. Drapaca

Fractal Fract.2024, 8(9), 496;https://doi.org/10.3390/fractalfract8090496

23 August 2024

Alzheimer’s disease (AD) is a progressive degenerative disorder that causes behavioral changes, cognitive decline, and memory loss. Currently, AD is incurable, and the few available medicines may, at best, improve symptoms or slow down AD progr...

(This article belongs to the Special Issue Women’s Special Issue Series: Fractal and Fractional, 2nd Edition)

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Fractal Fract. - ISSN 2504-3110

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