Generalising the fractional calculus with Sonine kernels via conjugations

Fractional Differential Equations with the General Fractional Derivatives of Arbitrary Order in the Riemann–Liouville Sense

(2022) Yuri Luchko   Mathematics

General Fractional Integrals and Derivatives with the Sonine Kernels

(2021) Yuri Luchko   Mathematics

Classes of operators in fractional calculus: A case study

(2021) Arran Fernandez et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Operational calculus for the Riemann–Liouville fractional derivative with respect to a function and its applications

(2021) Hafiz Muhammad Fahad et al.   Fractional Calculus and Applied Analysis

Operational calculus for the general fractional derivative and its applications

(2021) Yuri Luchko   Fractional Calculus and Applied Analysis

General Fractional Integrals and Derivatives of Arbitrary Order

(2021) Yuri Luchko   Symmetry-Basel

General Fractional Calculus: Multi-Kernel Approach

(2021) Vasily E. Tarasov   Mathematics

Special Functions of Fractional Calculus in the Form of Convolution Series and Their Applications

(2021) Yuri Luchko   Mathematics

Continuous time random walk to a general fractional Fokker–Planck equation on fractal media

(2021) Hui Fu et al.   European Physical Journal-Special Topics

On the Weighted Fractional Operators of a Function with Respect to Another Function

(2020) Fahd Jarad et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

The General Fractional Derivative and Related Fractional Differential Equations

(2020) Yuri Luchko et al.   Mathematics

The probabilistic point of view on the generalized fractional partial differential equations

(2019) Vassili N. Kolokoltsov   Fractional Calculus and Applied Analysis

Fundamental results on weighted Caputo–Fabrizio fractional derivative

(2019) Mohammed Al-Refai et al.   CHAOS SOLITONS & FRACTALS

On Fractional Operators and Their Classifications

(2019) Dumitru Baleanu et al.   Mathematics

A derivative concept with respect to an arbitrary kernel and applications to fractional calculus

(2018) Mohamed Jleli et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Duality for the left and right fractional derivatives

(2015) M. Cristina Caputo et al.   SIGNAL PROCESSING

Some generalized fractional calculus operators and their applications in integral equations

(2012) Om Agrawal   Fractional Calculus and Applied Analysis

General Fractional Calculus, Evolution Equations, and Renewal Processes

(2011) Anatoly N. Kochubei   INTEGRAL EQUATIONS AND OPERATOR THEORY