You are currently viewing a new version of our website. To view the old version click .

Foundations, Volume 2, Issue 4

December 2022 - 19 articles

Cover Story: In this paper, we treat some fractional differential equations on the sequence Lebesgue spaces ℓp(N0) with p≥1. The Caputo fractional calculus extends the usual derivation. The operator, associated with the Cauchy problem, is defined by a convolution with a sequence of compact support and belongs to the Banach algebra ℓ1(Z). We treat some of these compact support sequences in detail. We use techniques from Banach algebras and a functional analysis to explicitly check the solution of the problem. View this paper
  • Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
  • You may sign up for email alerts to receive table of contents of newly released issues.
  • PDF is the official format for papers published in both, html and pdf forms. To view the papers in pdf format, click on the "PDF Full-text" link, and use the free Adobe Reader to open them.

Articles (19)

  • Article
  • Open Access
10 Citations
2,981 Views
14 Pages

14 December 2022

It is known that, from a modeling point of view, fractional dynamic equations are more suitable compared to integer derivative models. In fact, a fractional dynamic equation is referred to as an equation with memory. To demonstrate that the fractiona...

  • Article
  • Open Access
2,073 Views
13 Pages

1 December 2022

It is well known that HIV (human immunodeficiency virus) weakens the immune system of individuals, resulting in risk of other infections, such as pneumonia. The most frequent viral pneumonia seen in individuals infected with HIV is cytomegalovirus (C...

  • Article
  • Open Access
2,739 Views
21 Pages

11 November 2022

A psychology experiment examining decision-making on a continuum of subjectively equivalent alternatives (directions) revealed that subjects follow a common pattern, giving preference to just a few directions over all others. When restricted experime...

  • Review
  • Open Access
1 Citations
2,946 Views
35 Pages

2 November 2022

This paper highlights 20 significant problems in AI research, with potential solutions via the SP Theory of Intelligence (SPTI) and its realisation in the SP Computer Model. With other evidence referenced in the paper, this is strong evidence in supp...

  • Article
  • Open Access
1,689 Views
14 Pages

Ball Comparison between Two Efficient Weighted-Newton-like Solvers for Equations

  • Ioannis K. Argyros,
  • Samundra Regmi,
  • Christopher I. Argyros and
  • Debasis Sharma

1 November 2022

We compare the convergence balls and the dynamical behaviors of two efficient weighted-Newton-like equation solvers by Sharma and Arora, and Grau-Sánchez et al. First of all, the results of ball convergence for these algorithms are established...

  • Article
  • Open Access
2 Citations
1,721 Views
9 Pages

Semi-Local Convergence of Two Derivative-Free Methods of Order Six for Solving Equations under the Same Conditions

  • Ioannis K. Argyros,
  • Christopher I. Argyros,
  • Jinny Ann John and
  • Jayakumar Jayaraman

1 November 2022

We propose the semi-local convergence of two derivative-free, competing methods of order six to address non-linear equations. The sufficient convergence criteria are the same, making a direct comparison between them possible. The existing convergence...

  • Article
  • Open Access
2 Citations
2,731 Views
23 Pages

Towards a Social-Ecological-Entropy Perspective of Sustainable Exploitation of Natural Resources

  • Sebastián Michel-Mata,
  • Mónica Gómez-Salazar,
  • Víctor Castaño and
  • Iván Santamaría-Holek

31 October 2022

An innovative and integrative modeling strategy for assessing the sustainability and resilience of social-ecological systems (SES) is presented by introducing a social-ecological entropy production (SEEP) method. In analogy to the thermodynamic entro...

  • Article
  • Open Access
5 Citations
2,605 Views
18 Pages

Elemental Laser-Plasma Analysis of Pointed Gourd Leaves for Diabetes Management

  • Tejmani Kumar,
  • Prashant K. Rai,
  • Abhishek K. Rai,
  • Nilesh K. Rai,
  • Awadhesh K. Rai,
  • Christian G. Parigger,
  • Geeta Watal and
  • Suman Yadav

26 October 2022

This interdisciplinary work communicates the identification and quantification of elements responsible for the bioactive potency of leaves from pointed gourd, trichosanthes dioica, using laser-induced breakdown spectroscopy (LIBS). Calibration-free L...

  • Review
  • Open Access
4 Citations
7,844 Views
32 Pages

19 October 2022

This article reviews the electrodynamic force law of Wilhelm Weber and its importance in electromagnetic theory. An introduction is given to Weber’s force and it is shown how it has been utilised in the literature to explain electromagnetism as...

of 2

Get Alerted

Add your email address to receive forthcoming issues of this journal.

XFacebookLinkedIn
Foundations - ISSN 2673-9321Creative Common CC BY license