A transformation method for delta partial difference equations on discrete time scale
type: Item
instance of: scholarly article
title: A transformation method for delta partial difference equations on discrete time scale
zbMATH Open document ID: 1459.39019
DOI: 10.1155/2020/3902931
author: Syed Sabyel Haider
author: Mujeeb ur Rehman
author: Thabet Abdeljawad
published in: Mathematical Problems in Engineering
publication date: 2020-07-23T00:00:00Z
review text: Summary: The aim of this study is to develop a transform method for discrete calculus. We define the double Laplace transforms in a discrete setting and discuss its existence and uniqueness with some of its important properties. The delta double Laplace transforms have been presented for integer and noninteger order partial differences. For illustration, the delta double Laplace transforms are applied to solve partial difference equation.
Mathematics Subject Classification ID: 39A14
Mathematics Subject Classification ID: 26E70
Mathematics Subject Classification ID: 35R02
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 7224360
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/3902931
OpenAlex ID: W3042152660
cites work: Q2723195
cites work: On fractional derivatives with exponential kernel and their discrete versions
cites work: On Riemann and Caputo fractional differences
cites work: Fractional sums and differences with binomial coefficients
cites work: On delta and nabla Caputo fractional differences and dual identities
cites work: On quasi-periodic properties of fractional sums and fractional differences of periodic functions
cites work: Discrete Fractional Calculus
cites work: Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
cites work: Variable-order fractional discrete-time recurrent neural networks
cites work: Lyapunov functions for Riemann-Liouville-like fractional difference equations
cites work: New variable-order fractional chaotic systems for fast image encryption
cites work: The Laplace transform in discrete fractional calculus
cites work: Ulam-Hyers-Rassias stability and existence of solutions to nonlinear fractional difference equations with multipoint summation boundary condition
cites work: Construction of fixed point operators for nonlinear difference equations of non integer order with impulses
cites work: On Sumudu transform method in discrete fractional calculus
cites work: The double Laplace integral
cites work: Some Properties of the Double Laplace Transformation
cites work: Some General Formulas for Double Laplace Transformations
cites work: The double Laplace transforms and their properties with applications to functional, integral and partial differential equations
cites work: A note on the triple Laplace transform and its applications to some kind of third-order differential equation
cites work: Laplace transform pairs of \(n\)-dimensions and heat conduction problem
cites work: On Hilfer fractional difference operator
cites work: On substantial fractional difference operator
cites work: Further properties of the Laplace transform on time scales with arbitrary graininess
cites work: A note on property of the Mittag-Leffler function
cites work: Q5452285
cites work: The discrete homotopy perturbation sumudu transform method for solving partial difference equations
cites work: Difference and differential equations with applications in queueing theory
description: scientific article; zbMATH DE number 7224360