Reprint

Recent Advances in Fractional Calculus

Edited by
May 2024
186 pages
  • ISBN978-3-7258-1238-7 (Hardback)
  • ISBN978-3-7258-1237-0 (PDF)

This book is a reprint of the Special Issue Recent Advances in Fractional Calculus that was published in

Computer Science & Mathematics
Physical Sciences
Summary

This project is dedicated to fractional calculus, one of the most dynamic areas of mathematical science today. For 50 years, the number of researchers and scientific publications dealing with this topic has been increasing day by day, which clearly demonstrates the growing interest in fractional calculus, both from a practical and a theoretical point of view. The purpose of this reprint is to extend existing results in fractional calculus by considering various types of fractional operators, such as Caputo-type, Hilfer-type, and Riemann–Liouville-type, by introducing various types of inequalities, such as Bullen-type, Jensen–Mercer-type, and Hermite–Hadamard-type, as well as by analyzing fractional-order differential equations and boundary value problems.

Format
  • Hardback
License and Copyright
© 2024 by the authors; CC BY-NC-ND license
Keywords
coincidence degree; fractional-order; half-line; m-point; resonance; fractional derivative; convolution; meromorphic function; q-nalogue of linear differential operator; complex order; q-starlike; q-convex; neighborhoods; partial sums; systems of (k,ψ) Hilfer fractional differential equations; fractional integrals; fractional derivatives; coupled nonlocal boundary conditions; existence of solutions; fixed point theorems; Caputo fractional derivative; evolution equation; infinite time-delay; mild solution; countability; Kuratowski measure of noncompactness; mathematical model; fractional order; Caputo; optimal control; shedding effect; COVID-19; boundary value problems for non-linear parabolic PDE; fractional step method; convergence of numerical methods; numerical algorithm; error analysis; dynamic boundary conditions; convex functions; (h,m)-convex functions; Jensen–Mercer inequality; Hermite–Hadamard inequality; Hölder inequality; power mean inequality; non-conformable fractional operators; analytic functions; quantum (or q-) calculus; q-fractional derivative; close-to-convex functions; m-fold symmetric functions; Faber polynomial expansion; convex functions; Bullen’s inequality; Hadamard inequality; Hölder inequality; power mean; fractional integral operators; Hermite–Hadamard inequality; Jensen–Mercer inequality; convex functions; n/a

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