A note on function space and boundedness of the general fractional integral in continuous time random walk

DOI10.1007/S44198-021-00021-WzbMath1486.26009OpenAlexW4200269323MaRDI QIDQ2126906

Hui Fu, Guo-Cheng Wu, Qin Fan

Publication date: 19 April 2022

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s44198-021-00021-w

zbMATH Keywords

boundednessMinkowski inequalitygeneral fractional integral

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)

Related Items (13)

HADAMARD FRACTIONAL CALCULUS ON TIME SCALES ⋮ Fractional uncertain differential equations with general memory effects: Existences and alpha-path solutions ⋮ Leibniz-type rule of variable-order fractional derivative and application to build Lie symmetry framework ⋮ Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions ⋮ Editorial: Overview and Some New Directions ⋮ Acceleration of the order of convergence of a family of fractional fixed-point methods and its implementation in the solution of a nonlinear algebraic system related to hybrid solar receivers ⋮ Exact solutions of fractional order oscillation equation with two fractional derivative terms ⋮ Incommensurate multi‐term fractional differential equations with variable coefficients with respect to functions ⋮ Analyses of solutions of Riemann‐Liouville fractional oscillatory differential equations with pure delay ⋮ Stability and Hopf bifurcation of fractional complex-valued BAM neural networks with multiple time delays ⋮ Discrete fractional calculus with exponential memory: Propositions, numerical schemes and asymptotic stability ⋮ Terminal value problems of non-homogeneous fractional linear systems with general memory kernels ⋮ Unified predictor-corrector method for fractional differential equations with general kernel functions

Cites Work

• Unnamed Item
• Unnamed Item
• New approach to a generalized fractional integral
• The fractional Dodson diffusion equation: a new approach
• A Caputo fractional derivative of a function with respect to another function
• Tempered and Hadamard-type fractional calculus with respect to functions
• Generalized fractional derivatives and Laplace transform
• Explicit solutions for linear variable-coefficient fractional differential equations with respect to functions
• Operational calculus for Caputo fractional calculus with respect to functions and the associated fractional differential equations
• Fractional calculus with exponential memory
• Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series
• On Laplace transforms with respect to functions and their applications to fractional differential equations

This page was built for publication: A note on function space and boundedness of the general fractional integral in continuous time random walk