Journal of Function Spaces

Advances in Fractional Functional Analysis


Publishing date
01 Feb 2022
Status
Closed
Submission deadline
01 Oct 2021

1São Paulo State University (UNESP), São José do Rio Preto, Brazil

2Baba Farid College, Bathinda, India

3University of Catania, Catania, Italy

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

Advances in Fractional Functional Analysis

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

Description

In the last decade, fractional calculus became popular and important due its application in several research fields such as mathematics, physics, engineering, etc. Nowadays, fractional calculus is widely applied in electromagnetism, dynamical systems, partial differential equations (PDE), etc. Fractional calculus represents one of the most interesting research fields in contemporary mathematics.

Several fractional operators have found many real-world applications due to their properties of interpolation between operators of integer order. In addition, fractional function spaces have been widely applied for solving differential integral, integro-differential equations both in pure and applied mathematics. In the last twenty years, fractal operators have become of interest to researchers. Several publications have discussed these fractal operators and have talked about the connection between fractal operators and the wavelet analysis. Consequently, fractional functional analysis plays the role of the link between wavelet analysis, fractional geometry, and more in general, between different fields of applied functional analysis. In particular, the fractional functional analysis extends the concept of function spaces to function spaces of fractional dimensions, opening up new frontiers both in functional analysis and fractional calculus.

The aim of this Special Issue is to bring together original research and review articles discussing recent advances in fractional calculus from a more general point of view. Theoretical and practical studies in pure and applied mathematics are welcome.

Potential topics include but are not limited to the following:

  • Fractional differential equations
  • Fractional function spaces
  • Commutators of fractional integral operators
  • Fractional calculus via Mittag-Leffler functions
  • Leibniz algebras, fractional calculus, and function spaces of symmetric functions
  • Fractional differential and integral equations
  • Fractional calculus, function space and approximation theory
  • Fractional models in applied sciences

Articles

  • Special Issue
  • - Volume 2022
  • - Article ID 5542054
  • - Research Article

Chebyshev Wavelet Analysis

Emanuel Guariglia | Rodrigo Capobianco Guido
  • Special Issue
  • - Volume 2022
  • - Article ID 6203440
  • - Research Article

An Operational Matrix Technique Based on Chebyshev Polynomials for Solving Mixed Volterra-Fredholm Delay Integro-Differential Equations of Variable-Order

Kamal R. Raslan | Khalid K. Ali | ... | Mohamed A. Abd El salam
  • Special Issue
  • - Volume 2022
  • - Article ID 7046579
  • - Research Article

Higher-Order Accurate and Conservative Hybrid Numerical Scheme for Relativistic Time-Fractional Vlasov-Maxwell System

Tamour Zubair | Muhammad Usman | ... | Mulugeta Andualem
  • Special Issue
  • - Volume 2022
  • - Article ID 2615440
  • - Research Article

Generalized Fractional Integral Inequalities for MT-Non-Convex and -Convex Functions

Wei Wang | Absar Ul Haq | ... | Muhammad Sajid Zahoor
  • Special Issue
  • - Volume 2022
  • - Article ID 8103046
  • - Research Article

Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations

Saeed M. Ali | Wasfi Shatanawi | ... | S. Saleh
  • Special Issue
  • - Volume 2022
  • - Article ID 1652888
  • - Research Article

Some Midpoint Inequalities for -Convex Function via Weighted Fractional Integrals

Lei Chen | Waqas Nazeer | ... | Sarah Mehfooz
  • Special Issue
  • - Volume 2021
  • - Article ID 8031524
  • - Research Article

Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems

Chanon Promsakon | Sotiris K. Ntouyas | Jessada Tariboon
  • Special Issue
  • - Volume 2021
  • - Article ID 5640822
  • - Research Article

Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator

Dong Zhang | Muhammad Shoaib Saleem | ... | R. Bano
  • Special Issue
  • - Volume 2021
  • - Article ID 8162890
  • - Review Article

Semilinear Fractional Evolution Inclusion Problem in the Frame of a Generalized Caputo Operator

Adel Lachouri | Abdelouaheb Ardjouni | ... | Mohammed S. Abdo
  • Special Issue
  • - Volume 2021
  • - Article ID 1537958
  • - Research Article

Numerical Analysis of the Fractional-Order Nonlinear System of Volterra Integro-Differential Equations

Pongsakorn Sunthrayuth | Roman Ullah | ... | Fahd Jarad
Journal of Function Spaces
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Acceptance rate33%
Submission to final decision52 days
Acceptance to publication26 days
CiteScore2.400
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Impact Factor1.281
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Article of the Year Award: Outstanding research contributions of 2021, as selected by our Chief Editors. Read the winning articles.