The \(\psi\)-Hilfer fractional calculus of variable order and its applications
type: Item
instance of: scholarly article
title: The \(\psi\)-Hilfer fractional calculus of variable order and its applications
zbMATH Open document ID: 1476.26004
published in: Computational and Applied Mathematics
publication date: 2021-09-10T00:00:00Z
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 33F05
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 7394201
zbMATH Keywords: fractional calculus
zbMATH Keywords: \(\psi\)-Hilfer fractional
zbMATH Keywords: approximation methods
zbMATH Keywords: stability
author: J. Vanterler da Costa Sousa
author: José A. Tenreiro Machado
author: E. C. de Oliveira
MaRDI profile type: Publication
full work available at URL: s40314-020-01347-9
OpenAlex ID: W3034181248
cites work: Caputo–Hadamard Fractional Derivatives of Variable Order
cites work: A Caputo fractional derivative of a function with respect to another function
cites work: A discrete method to solve fractional optimal control problems
cites work: Modeling some real phenomena by fractional differential equations
cites work: The variable-order fractional calculus of variations
cites work: Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations
cites work: On an accurate discretization of a variable-order fractional reaction-diffusion equation
cites work: Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations
cites work: Numerical Methods
cites work: Q5363874
cites work: Chaos in the fractional order Chen system and its control
cites work: Recent history of fractional calculus
cites work: Open Problems in Mathematics
cites work: Hilfer-Katugampola fractional derivatives
cites work: Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative
cites work: Numerical approximations of fractional derivatives with applications
cites work: Fractional integration and differentiation of variable order: an overview
cites work: Integration and differentiation to a variable fractional order
cites work: Q3141895
cites work: Derivation, interpretation, and analog modelling of fractional variable order derivative definition
cites work: Numerical schemes for initialized constant and variable fractional-order derivatives: matrix approach and its analog verification
cites work: On the \(\psi\)-Hilfer fractional derivative
cites work: Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
cites work: Two new fractional derivatives of variable order with non-singular kernel and fractional differential equation
cites work: Leibniz type rule: \(\psi\)-Hilfer fractional operator
cites work: On the \(\Psi \)-fractional integral and applications
cites work: Fractional calculus and the ESR test
cites work: Validation of a fractional model for erythrocyte sedimentation rate
cites work: Stability of \(\psi\)-Hilfer impulsive fractional differential equations
cites work: A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
cites work: Optimality conditions for fractional variational problems with dependence on a combined Caputo derivative of variable order
cites work: Caputo derivatives of fractional variable order: numerical approximations
cites work: Combined fractional variational problems of variable order and some computational aspects
cites work: A review of definitions of fractional derivatives and other operators
cites work: Variable-order fractional derivatives and their numerical approximations
cites work: Variable Order Fractional Controllers
cites work: Existence result of solutions to differential equations of variable-order with nonlinear boundary value conditions
DOI: 10.1007/S40314-020-01347-9
description: scientific article; zbMATH DE number 7394201