Applications of a novel integral transform to partial differential equations

DOI10.22436/JNSA.010.02.18zbMath1412.44010OpenAlexW2588376801WikidataQ58100677 ScholiaQ58100677MaRDI QIDQ4631871

Xiao-Jun Yang, Xin Liang, Yanan Gao, Feng Gao

Publication date: 23 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.02.18

zbMATH Keywords

Laplace transformpartial differential equationsSumudu transformLaplace-Carson transform

Mathematics Subject Classification ID

Diffusion (76R50) Partial differential equations of mathematical physics and other areas of application (35Q99) Exact solutions to problems in general relativity and gravitational theory (83C15) Integral transforms, operational calculus (44A99)

Related Items (4)

Duality for convolution on subclasses of analytic functions and weighted integral operators ⋮ An anomalous diffusion model based on a new general fractional operator with the Mittag-Leffler function of Wiman type ⋮ Classifications and duality relations for several integral transforms ⋮ Notes on fuzzy fractional Sumudu transform

Uses Software

• LaplaceAndzTransform

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new integral transform operator for solving the heat-diffusion problem
• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
• A note on solutions of wave, Laplace's and heat equations with convolution terms by using a double Laplace transform
• Further analysis on classifications of PDE(s) with variable coefficients
• Analytical and numerical inversion of the Laplace-Carson transform by a differential method
• Analytical investigations of the Sudumu transform and applications to integral production equations
• Analytic solution for American strangle options using Laplace-Carson transforms
• Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations
• Sumudu transform and the solution of integral equations of convolution type
• Application of Sumudu transform to partial differential equations
• Sumudu transform: a new integral transform to solve differential equations and control engineering problems

This page was built for publication: Applications of a novel integral transform to partial differential equations