Journal of Mathematics

Innovative Applications of Fractional Calculus


Publishing date
01 Dec 2021
Status
Closed
Submission deadline
16 Jul 2021

1Ağrı İbrahim Çeçen University, Ağrı, Turkey

2University of Moulay Ismail, Errachidia, Morocco

3Baku State University, Baku, Azerbaijan

This issue is now closed for submissions.
More articles will be published in the near future.

Innovative Applications of Fractional Calculus

This issue is now closed for submissions.
More articles will be published in the near future.

Description

In recent years, fractional analysis has become a field of study that has increased in popularity because of its effective application in different scientific fields such as statistics, applied mathematics, dynamics, mathematical biology, control theory, optimisation, and chaos theory. Fractional analysis continues to rapidly develop with the definition of new derivative, and integral operators.

Identifying new operators has become a topic extensively addressed by many researchers, who research new features, and real-life applications of new operators in applied mathematics, engineering, and mathematical biology. For instance, new operators have started being used in inequality theory. Some of the new integral, and derivative operators differ from others; while the locality and singularity options differ from others, and while others have become primarily investigated with the derivative of the order of zero. Besides the characteristics of each new operator, what makes an operator different and effective is also a research area open to discussion. In recent years, many studies have been focussing on fractional calculus addressing real-world problems. Moreover, research on fractional ordinary or partial differential equations and other relevant topics relating to the integer order model has attracted the attention of experts worldwide. New fractional derivatives, and integral operators have become some of the most effective tools in contributing to the physical phenomena. They are also useful as applications to real-world problems.

The aim of this Special Issue is to solicit original research articles, as well as review articles, focussing on the application of fractional calculus to real-world problems. This Special Issue hopes to establish an online discussion platform for researchers from varied scientific fields (physics, biology, chemistry, economics, medicine, and engineering). We also wish that this Special Issue becomes a platform for inspiring ideas, and new results in fractional calculus.

Potential topics include but are not limited to the following:

  • Generalised fractional calculus, and applications
  • Fractional differential equations
  • Discrete fractional equations
  • Novel fractional calculus definitions, their properties, and applications
  • Fractional calculus models in physics, biology, chemistry, economics, medicine, and engineering
  • Numerical methods for fractional differential equations
  • Optimisation problems
  • Fractional derivatives, and special functions
  • Various special functions related to generalised fractional calculus
  • Special functions related to fractional non-integer order control systems, and equations
  • Special functions arising in the fractional diffusion-wave equations
  • Operational methods in fractional calculus
  • Fractional integral inequalities, and their q-analogues
  • Inequalities involving the fractional integral operators
  • Applications of inequalities for classical, and fractional differential equations

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 9981153
  • - Research Article

Shape Preserving Piecewise KNR Fractional Order Biquadratic Spline

Syed Khawar Nadeem Kirmani | Muhammad Bilal Riaz | ... | Aytekin Enver
  • Special Issue
  • - Volume 2021
  • - Article ID 5386644
  • - Research Article

Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties

Waseem Ahmad Khan | Hassen Aydi | ... | Jihad Younis
  • Special Issue
  • - Volume 2021
  • - Article ID 4220479
  • - Research Article

Sine Half-Logistic Inverse Rayleigh Distribution: Properties, Estimation, and Applications in Biomedical Data

M. Shrahili | I. Elbatal | Mohammed Elgarhy
  • Special Issue
  • - Volume 2021
  • - Article ID 5458037
  • - Research Article

On Multi-Index Mittag–Leffler Function of Several Variables and Fractional Differential Equations

B. B. Jaimini | Manju Sharma | ... | S. D. Purohit
  • Special Issue
  • - Volume 2021
  • - Article ID 3089553
  • - Research Article

Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators

Changyue Chen | Muhammad Shoaib Sallem | Muhammad Sajid Zahoor
  • Special Issue
  • - Volume 2021
  • - Article ID 4479270
  • - Research Article

A Novel Method for Developing Efficient Probability Distributions with Applications to Engineering and Life Science Data

Alamgir Khalil | Abdullah Ali H. Ahmadini | ... | Zabidin Salleh
  • Special Issue
  • - Volume 2021
  • - Article ID 2555974
  • - Research Article

Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially -Convex Functions

Shasha Li | Ghulam Farid | ... | Hafsa Yasmeen
  • Special Issue
  • - Volume 2021
  • - Article ID 5561611
  • - Research Article

Properties and Bounds of Jensen-Type Functionals via Harmonic Convex Functions

Aqeel Ahmad Mughal | Hassan Almusawa | ... | Imran Abbas Baloch
  • Special Issue
  • - Volume 2021
  • - Article ID 5591016
  • - Research Article

Optical Solutions of the Date–Jimbo–Kashiwara–Miwa Equation via the Extended Direct Algebraic Method

Ghazala Akram | Naila Sajid | ... | Khadijah M. Abualnaja
  • Special Issue
  • - Volume 2021
  • - Article ID 5331260
  • - Research Article

Fractional Entropy-Based Test of Uniformity with Power Comparisons

Mohamed S. Mohamed | Haroon M. Barakat | ... | Mohamed A. Abd Elgawad
Journal of Mathematics
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Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.