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Mathematics, Volume 11, Issue 7

April-1 2023 - 200 articles

Cover Story: The modified Bessel function (MBF) of the first kind is a fundamental special function with applications in applied mathematics and physics. When the order of this function is an integer, it has an integral representation that includes the exponential of the cosine function. When analyzing problems of communication in networks using fractional time derivatives, Martín and Estrada discovered the necessity of generalizing the MBF to include a fractional parameter, such that the exponential in the previously mentioned integral is replaced by a Mittag–Leffler function. They discovered the power series representation of the fractional MBF of the first kind, as well as some of its differential properties. Several fundamental open problems are stated in this work as well as many important practical applications that are yet to be discovered. View this paper
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Articles (200)

  • Article
  • Open Access
2 Citations
2,164 Views
7 Pages

6 April 2023

The paper is devoted to studying the existence, uniqueness and certain growth rates of solutions with certain implicit Volterra-type integrodifferential equations on unbounded from above time scales. We consider the case where the integrand is estima...

  • Article
  • Open Access
4 Citations
8,252 Views
16 Pages

6 April 2023

One-sided heavy tailed distributions have been used in many engineering applications, ranging from teletraffic modelling to financial engineering. In practice, the most interesting heavy tailed distributions are those having a finite mean and a diver...

  • Article
  • Open Access
3 Citations
2,148 Views
23 Pages

Design of Continuous Finite-Time Controller Based on Adaptive Tuning Approach for Disturbed Boost Converters

  • Hammad Alnuman,
  • Kuo-Hsien Hsia,
  • Mohammadreza Askari Sepestanaki,
  • Emad M. Ahmed,
  • Saleh Mobayen and
  • Ammar Armghan

6 April 2023

This research study proposes a continuous finite-time controller based on the adaptive tuning approach for the boost converters with unknown disturbances. A Lyapunov candidate function which contains an absolute function based on the fractional power...

  • Article
  • Open Access
2 Citations
1,269 Views
19 Pages

Generalized Čebyšev and Grüss Type Results in Weighted Lebesgue Spaces

  • Saad Ihsan Butt,
  • Josip Pečarić and
  • Sanja Tipurić-Spužević

6 April 2023

The classical Grüss and related inequalities have spurred a range of improvements, refinements, generalizations, and extensions. In the present article, we provide generalizations of Sokolov’s inequality in weighted Lebesgue Lω&Omega...

  • Article
  • Open Access
1 Citations
1,866 Views
18 Pages

6 April 2023

A (3+1)-dimensional generalized Yu–Toda–Sasa–Fukuyama equation is considered systematically. N-soliton solutions are obtained using Hirota’s bilinear method. The employment of the complex conjugate condition of parameters of N...

  • Article
  • Open Access
1 Citations
1,581 Views
10 Pages

Spectrum of Zariski Topology in Multiplication Krasner Hypermodules

  • Ergül Türkmen,
  • Burcu Nişancı Türkmen and
  • Öznur Kulak

6 April 2023

In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings. In particular, we examine the spectrum of the Zariski topology, which we built on the element...

  • Article
  • Open Access
10 Citations
2,338 Views
29 Pages

6 April 2023

During the operational period, unexpected upstream deformation has been observed in several super-high arch dams located in the alpine and gorge regions. In addition, the phenomenon of the downstream dam deformation monitoring values being apparently...

  • Article
  • Open Access
2 Citations
2,226 Views
12 Pages

6 April 2023

The big data explosion has sparked a strong demand for high-performance data processing. Meanwhile, the rapid development of networked computing systems, coupled with the growth of Divisible-Load Theory (DLT) as an innovative technology with competen...

  • Article
  • Open Access
11 Citations
1,954 Views
15 Pages

A Comparative Study of the Fractional-Order Belousov–Zhabotinsky System

  • Samir A. El-Tantawy,
  • Rasool Shah,
  • Albandari W. Alrowaily,
  • Nehad Ali Shah,
  • Jae Dong Chung and
  • Sherif. M. E. Ismaeel

6 April 2023

In this article, we present a modified strategy that combines the residual power series method with the Laplace transformation and a novel iterative technique for generating a series solution to the fractional nonlinear Belousov–Zhabotinsky (BZ...

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Mathematics - ISSN 2227-7390