On generalized \((k,\psi)\)-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem
type: Item
instance of: scholarly article
title: On generalized \((k,\psi)\)-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem
author: Weerawat Sudsutad
author: Jutarat Kongson
author: Chatthai Thaiprayoon
published in: Boundary Value Problems
publication date: 2024-08-14T00:00:00Z
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 7897009
zbMATH Keywords: \((k, \psi)\)-Hilfer proportional fractional derivative
zbMATH Keywords: fractional differential equations
zbMATH Keywords: existence and uniqueness
zbMATH Keywords: Picard's iterative method
MaRDI profile type: Publication
cites work: Q3141895
cites work: Q4233638
cites work: Q5699297
cites work: Applications of fractional calculus in physics
cites work: New approach to a generalized fractional integral
cites work: On Hilfer generalized proportional fractional derivative
cites work: On the \(\psi\)-Hilfer fractional derivative
cites work: On \(\psi\)-Hilfer generalized proportional fractional operators
cites work: The Fractional Derivative of a Composite Function
cites work: A note on fractional order derivatives and table of fractional derivatives of some special functions
cites work: q,k-Generalized Gamma and Beta Functions
cites work: Q3526206
cites work: On the \(k\)-gamma \(q\)-distribution
cites work: \(k\)-fractional integrals and application
cites work: On the k-Riemann-Liouville fractional derivative
cites work: On the nonlinear \((k,\Psi)\)-Hilfer fractional differential equations
cites work: Hilfer fractional advection-diffusion equations with power-law initial condition; a numerical study using variational iteration method
cites work: Mathematical modeling of fractional differential filtration dynamics based on models with Hilfer-Prabhakar derivative
cites work: Mathematical models and problems of fractional-differential dynamics of some relaxation filtration processes
cites work: Attractivity for Hilfer fractional stochastic evolution equations
cites work: \((k,\psi)\)-Hilfer variational problem
cites work: A new representation formula for the Hilfer fractional derivative and its application
cites work: A higher-order extension of Atangana-Baleanu fractional operators with respect to another function and a Gronwall-type inequality
cites work: On more general forms of proportional fractional operators
cites work: More properties of the proportional fractional integrals and derivatives of a function with respect to another function
cites work: Generalized fractional derivatives and Laplace transform
cites work: Picard's iterative method for Caputo fractional differential equations with numerical results
cites work: A Caputo fractional derivative of a function with respect to another function
cites work: A New Approach to Generalized Fractional Derivatives
cites work: On the generalized fractional derivatives and their Caputo modification
cites work: Hilfer-Katugampola fractional derivatives
cites work: Q3656159
cites work: Nonlocal initial and boundary value problems via fractional calculus with exponential singular kernel
DOI: 10.1186/S13661-024-01891-X
description: scientific article; zbMATH DE number 7897009