Applications of a novel integral transform to partial differential equations


Authors

Xin Liang - State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, 221116, P. R. China. Feng Gao - State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, 221116, P. R. China. - School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, P. R. China. Ya-Nan Gao - State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, 221116, P. R. China. - School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, P. R. China. Xiao-Jun Yang - School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, P. R. China.


Abstract

In this paper, we establish and perfect the dualities among the Laplace transform (LT), Laplace-Carson transform (LCT), Sumudu transform (ST), and a novel integral transform (NIT). In addition, some novel properties of the NIT are explored and the NIT is applied to solve some partial differential equations (PDEs).


Keywords


MSC


References