Certain fundamental properties of generalized natural transform in generalized spaces

DOI10.1186/s13662-021-03328-6zbMath1494.46037OpenAlexW3164774557MaRDI QIDQ2166877

Serkan Araci, Shrideh K. Q. Al-Omari

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03328-6

zbMATH Keywords

Laplace transformnatural transformBoehmiansumudu transformgeneralized natural transformultraboehmian

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Calculus of Mikusi?ski and other operational calculi (44A40) Laplace transform (44A10)

Cites Work

• Some extensions of a certain integral transform to a quotient space of generalized functions
• The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
• A new integral transform and its applications
• On Sumudu transform and system of differential equations
• An estimate of Sumudu transforms for boehmians
• Certain results related to the \(N\)-transform of a certain class of functions and differential operators
• Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
• Some characteristics of S transforms in a class of rapidly decreasing Boehmians
• Estimation of the generalized Bessel-Struve transform in a space of generalized functions
• On the applications of Laplace and Sumudu transforms
• The Support of Mikusinski Operators
• Tempered distributional Fourier sine (cosine) transform
• REAL COVERING OF THE GENERALIZED HANKEL-CLIFFORD TRANSFORM OF FOX KERNEL TYPE OF A CLASS OF BOEHMIANS
• Periodic Boehmians II
• The Laplace transform on a class of Boehmians
• Quaternion fourier integral operators for spaces of generalized quaternions
• On q-analogues of the natural transform of certain q-Bessel functions and some application
• Some remarks on short‐time Fourier integral operators and classes of rapidly decaying functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Certain fundamental properties of generalized natural transform in generalized spaces