Journal of Mathematics

Fractional Calculus and Related Inequalities


Publishing date
01 Nov 2020
Status
Closed
Submission deadline
26 Jun 2020

Lead Editor

1Hasan Kalyoncu University, Gaziantep, Turkey

2Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia

3Shanxi Normal University, Xi'an, China

4Missouri University of Science and Technology, Rolla, USA

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

Fractional Calculus and Related Inequalities

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

Description

Fractional calculus (FC) is an emerging field of mathematics in an applications points of view, and it is applicable for almost all branches of applied sciences. It deals with the investigation and application of integrals and derivatives of arbitrary order. The combination of generalized FC and special functions are used to obtain potential results in the field of applied mathematics.

Fractional differential equations appear more and more frequently for modelling of real systems in numerous fields of applied sciences. To describe upper and lower bounds to solutions of these fractional differential equations, one has to adopt the study of fractional integral inequalities (FII). Furthermore, FII widely used in the field of statistics, numerical quadrature etc. The supreme use of FII is in fractional boundary value problems to establish uniqueness of solutions. Therefore, in the literature, several researchers have addressed several generalizations of the various types of integral inequalities extensively.

The aim of this Special Issue is to collate both original research and review articles with a focus on the connection between special functions and inequalities via fractional calculus.

Potential topics include but are not limited to the following:

  • Inequalities of generalised functions and extensions
  • Fractional integral inequalities
  • k-fractional integral inequalities
  • q-inequalities via fractional calculus
  • A connection between (p, q)-calculus and fractional calculus
  • Nonlinear fractional differential equation and its applications
  • Application of fractional calculus in applied science problems

Articles

  • Special Issue
  • - Volume 2020
  • - Article ID 2463782
  • - Research Article

The New Mittag-Leffler Function and Its Applications

U. Ayub | S. Mubeen | ... | Kottakkaran Sooppy Nisar
  • Special Issue
  • - Volume 2020
  • - Article ID 4786053
  • - Research Article

Some Existence Results for a System of Nonlinear Fractional Differential Equations

Eskandar Ameer | Hassen Aydi | ... | Muhammad Arshad
  • Special Issue
  • - Volume 2020
  • - Article ID 7213146
  • - Research Article

Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator

Tingting Guan | Guotao Wang
  • Special Issue
  • - Volume 2020
  • - Article ID 9858671
  • - Research Article

Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function

Gauhar Rahman | Kottakkaran Sooppy Nisar | ... | Muhammad Samraiz
  • Special Issue
  • - Volume 2020
  • - Article ID 8672710
  • - Research Article

Trapezium-Type Inequalities for -Fractional Integral via New Exponential-Type Convexity and Their Applications

Artion Kashuri | Sajid Iqbal | ... | Thabet Abdeljawad
  • Special Issue
  • - Volume 2020
  • - Article ID 7893498
  • - Research Article

On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind

Sang Jo Yun | Jin-Woo Park
  • Special Issue
  • - Volume 2020
  • - Article ID 4189036
  • - Research Article

Bounds for the Remainder in Simpson’s Inequality via -Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals

Yu-Ming Chu | Muhammad Uzair Awan | ... | Awais Gul Khan
  • Special Issue
  • - Volume 2020
  • - Article ID 5471715
  • - Research Article

Composition Formulae for the -Fractional Calculus Operators Associated with -Wright Function

D. L. Suthar
  • Special Issue
  • - Volume 2020
  • - Article ID 2875152
  • - Research Article

On Coupled Systems for Hilfer Fractional Differential Equations with Nonlocal Integral Boundary Conditions

Athasit Wongcharoen | Sotiris K. Ntouyas | Jessada Tariboon
  • Special Issue
  • - Volume 2020
  • - Article ID 8964759
  • - Research Article

Pade Method for Construction of Numerical Algorithms for Fractional Initial Value Problem

Feng Gao | Chunmei Chi
Journal of Mathematics
 Journal metrics
Acceptance rate22%
Submission to final decision43 days
Acceptance to publication32 days
CiteScore0.500
Journal Citation Indicator0.690
Impact Factor0.971
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Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.