Intrinsic discontinuities in solutions of evolution equations involving fractional Caputo–Fabrizio and Atangana–Baleanu operators

CN Angstmann, BA Jacobs, BI Henry, Z Xu - Mathematics, 2020 - mdpi.com
There has been considerable recent interest in certain integral transform operators with non-
singular kernels and their ability to be considered as fractional derivatives. Two such …

On a five-parameter Mittag-Leffler function and the corresponding bivariate fractional operators

MA Özarslan, A Fernandez - Fractal and Fractional, 2021 - mdpi.com
Several extensions of the classical Mittag-Leffler function, including multi-parameter and
multivariate versions, have been used to define fractional integral and derivative operators …

[图书][B] Fractional Integrals and Derivatives:“True” versus “False”

Y Luchko - 2021 - books.google.com
This Special Issue is devoted to some serious problems that the Fractional Calculus (FC) is
currently confronted with and aims at providing some answers to the questions like “What …

On the analytical development of incomplete Riemann-Liouville fractional calculus

A Fernandez, C Ustaoğlu… - Turkish Journal of …, 2021 - journals.tubitak.gov.tr
The theoretical development of fractional calculus includes the formulation of different
definitions, the extension of properties from standard calculus, and the application of …

Almost oscillatory fractional differential equations

MG Morales, Z Došlá - Computational and Applied Mathematics, 2022 - Springer
Almost oscillatory fractional differential equations | Computational and Applied Mathematics
Skip to main content SpringerLink Account Menu Find a journal Publish with us Track your …

Cauchy problem with Denjoy-Stieltjes integral

MG Morales Macías - Mathematica Bohemica, 2024 - dml.cz
This work is devoted to analyzing the existence of the Cauchy fractional-type problems
considering the Riemann-Liouville derivative (in the distributional Denjoy integral sense) of …

Sturm–Liouville Differential Equations Involving Kurzweil–Henstock Integrable Functions

S Sánchez-Perales, T Pérez-Becerra… - Mathematics, 2021 - mdpi.com
In this paper, we give sufficient conditions for the existence and uniqueness of the solution of
Sturm–Liouville equations subject to Dirichlet boundary value conditions and involving …

[PDF][PDF] Sturm–Liouville Differential Equations Involving Kurzweil–Henstock Integrable Functions. Mathematics 2021, 9, 1403

S Sánchez-Perales, T Pérez-Becerra, VH Vázquez… - 2021 - academia.edu
In this paper, we give sufficient conditions for the existence and uniqueness of the solution of
Sturm–Liouville equations subject to Dirichlet boundary value conditions and involving …