Operators of Fractional Integration and Their Applications
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: closed (31 July 2023) | Viewed by 7127
Special Issue Editors
2. Department of Engineering Mathematics and Physics, Faculty of Engineering, Al-Azhar University, Cairo 71524, Egypt
Interests: fractional calculus and its applications; analytical solutions for nonlinear models; analysis of integral inequalities; fractional biological models; fixed point theory; fractional optimal control
2. Department of Mathematics, Faculty of Sciences, Al-Azhar University, Assiut 71524, Egypt
Interests: fractional calculus and its applications; fixed point theory; analytical solutions for nonlinear models; analysis of integral inequalities; fractional biological models
Special Issue Information
Dear Colleagues,
Nowadays, it has been discovered that numerous types of fractional integral and derivative operators, such as those called after Riemann–Liouville, Hadamard, Weyl, Liouville–Caputo, Riesz, Grunwald–Letnikov, Erdelyi–Kober, and others, have been observed to be extremely significant and productive. This is because of their demonstrated applications in abundant and widely spread areas of the mathematical, physical, engineering, biological, statistical and chemical disciplines. Many of these fractional operators offer intriguing, potentially helpful tools for solving integral and integro-differential equations, as well as investigating optimal control the problem of fractional systems. Moreover, they also provide solutions to a variety of other issues involving special functions from applied mathematics and mathematical physics, as well as their extensions and generalizations in different directions.
On the other hand, differential and integral fractional equations have been solved successfully by calculating the fixed point for fractional integral operators. By bearing in mind that virtually many real-world problems may be transformed into problems of fractional differential and integral equations. So, we can reach a conclusion about the importance of the fractional integral operators together with fixed point theory in qualitative science and technology.
In this Special Issue, original research, expository and review articles addressing current developments in the theory fractional integrals and derivatives, as well as their applications.
Dr. Abd-Allah Hyder
Dr. Mohamed A. Barakat
Guest Editors
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Keywords
- fractional integral operators and their applications
- fractional ODEs and PDEs
- fractional integro-differential equations
- fractional epidemic models
- fractional integrals associated with special functions from mathematical physics
- well-posedness of fractional systems via fixed point theory and fractional integral operators
- optimal control of fractional cooperative and non-cooperative systems
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