On general tempered fractional calculus with Luchko kernels
type: Item
instance of: scholarly article
title: On general tempered fractional calculus with Luchko kernels
author: Furqan Hussain
author: Mujeeb ur Rehman
published in: Journal of Computational and Applied Mathematics
publication date: 2025-01-16T00:00:00Z
Mathematics Subject Classification ID: 26Axx
Mathematics Subject Classification ID: 44Axx
Mathematics Subject Classification ID: 34Axx
zbMATH DE Number: 7968659
zbMATH Keywords: Sonine kernels
zbMATH Keywords: Luchko kernels
zbMATH Keywords: general tempered fractional calculus
zbMATH Keywords: \( \psi \)-Laplace transform
zbMATH Keywords: non-locality
MaRDI profile type: Publication
cites work: General fractional calculus, evolution equations, and renewal processes
cites work: On the generalization of a formula of Abel.
cites work: Operational calculus for the general fractional derivative and its applications
cites work: Variable-order fractional calculus: a change of perspective
cites work: The 1st level general fractional derivatives and some of their properties
cites work: Integral equations of the first kind of Sonine type
cites work: Generalising the fractional calculus with Sonine kernels via conjugations
cites work: Convolution series and the generalized convolution Taylor formula
cites work: Operational calculus for Caputo fractional calculus with respect to functions and the associated fractional differential equations
cites work: A Caputo fractional derivative of a function with respect to another function
cites work: Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series
cites work: Operational calculus for the Riemann-Liouville fractional derivative with respect to a function and its applications
cites work: An operational method for solving fractional differential equations with the Caputo derivatives
cites work: Generalized fractional derivatives and Laplace transform
cites work: On Laplace transforms with respect to functions and their applications to fractional differential equations
cites work: Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients
cites work: A comment on a controversial issue: a generalized fractional derivative cannot have a regular kernel
cites work: Tempered and Hadamard-type fractional calculus with respect to functions
cites work: Laplace transform and fractional differential equations
cites work: Q5699297
cites work: Q5494302
cites work: Why fractional derivatives with nonsingular kernels should not be used
DOI: 10.1016/J.CAM.2024.116339
description: scientific article; zbMATH DE number 7968659