Linear Hilfer nabla fractional difference equations
type: Item
instance of: scholarly article
title: Linear Hilfer nabla fractional difference equations
zbMATH Open document ID: 1482.39006
DOI: 10.1504/IJDSDE.2021.117361
author: N. S. Gopal
author: J. Jagan Mohan
published in: International Journal of Dynamical Systems and Differential Equations
publication date: 2022-03-14T00:00:00Z
review text: Summary: In this paper, we deal with the nabla analogue of Hilfer fractional derivative and obtain some of its salient properties such as composition and power rules. Further, we consider an initial value problem for a class of nonlinear Hilfer nabla fractional difference equations and obtain its equivalent Volterra summation equation, using these properties. Also, we derive expressions for general solutions of various classes of linear Hilfer nabla fractional difference equations by applying the discrete Laplace transform.
Mathematics Subject Classification ID: 39A13
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 44A55
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7488810
zbMATH Keywords: Hilfer fractional derivative
zbMATH Keywords: Riemann-Liouville fractional derivative
zbMATH Keywords: Caputo fractional derivative
zbMATH Keywords: nabla fractional difference
zbMATH Keywords: composition rule
zbMATH Keywords: power rule
zbMATH Keywords: Mittag-Leffler function
zbMATH Keywords: convolution
zbMATH Keywords: initial value problem
zbMATH Keywords: discrete Laplace transform
MaRDI profile type: Publication
Wikidata QID: Q114053447
full work available at URL: ijdsde.2021.117361
OpenAlex ID: W4232261512
description: scientific article; zbMATH DE number 7488810