Operators of Fractional Calculus and Their Multidisciplinary 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 (30 September 2022) | Viewed by 54656
Special Issue Editor
Interests: real and complex analysis; fractional calculus and its applications; integral equations and transforms; higher transcendental functions and their applications; q-series and q-polynomials; analytic number theory; analytic and geometric Inequalities; probability and statistics; inventory modelling and optimization
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Special Issue Information
Dear Colleagues,
Current widespread interest in various families of fractional-order integral and derivative operators, such as those named after Riemann–Liouville, Weyl, Hadamard, Grunwald–Letnikov, Riesz, Erdélyi–Kober, Liouville–Caputo, and so on, have stemmed essentially from their demonstrated applications in numerous diverse areas of the mathematical, physical, chemical, engineering, and statistical sciences. These fractional-order operators provide interesting and potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations, the fractional-calculus analogues and extensions of each of these equations, and various other problems involving special functions of mathematical physics, applicable analysis and applied mathematics, as well as their extensions and generalizations in one, two and more variables.
In this Special Issue, we invite and welcome review, expository, and original research articles dealing with recent advances in the theory of integrals and derivatives of fractional order and their multidisciplinary applications.
Prof. Dr. Hari Mohan Srivastava
Guest Editor
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Keywords
- operators of fractional integrals and fractional derivatives and their applications
- chaos and dynamical systems based upon fractional calculus
- fractional-order ODEs and PDEs
- fractional-order differintegral and integro-differential equations
- integrals and derivatives of fractional order associated with special functions of mathematical physics and applied mathematics
- identities and inequalities involving fractional-order integrals and fractional-order derivatives
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